1387 lines
97 KiB
HTML
1387 lines
97 KiB
HTML
|
|
<!doctype html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
|
|
<html><head><title>Python: module geosolver.matfunc</title>
|
|
</head><body bgcolor="#f0f0f8">
|
|
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="heading">
|
|
<tr bgcolor="#7799ee">
|
|
<td valign=bottom> <br>
|
|
<font color="#ffffff" face="helvetica, arial"> <br><big><big><strong><a href="geosolver.html"><font color="#ffffff">geosolver</font></a>.matfunc</strong></big></big></font></td
|
|
><td align=right valign=bottom
|
|
><font color="#ffffff" face="helvetica, arial"><a href=".">index</a><br><a href="file:/home/rick/Programming/Python/GeoSolver/geosolver/matfunc.py">/home/rick/Programming/Python/GeoSolver/geosolver/matfunc.py</a></font></td></tr></table>
|
|
<p><tt>Basic <a href="#Table">Table</a>, <a href="#Matrix">Matrix</a> and Vector functions for Python 2.2<br>
|
|
License: Public Domain Author: Raymond Hettinger email: python@rcn.com<br>
|
|
Updates and documentation: <a href="http://users.rcn.com/python/download/python.htm">http://users.rcn.com/python/download/python.htm</a><br>
|
|
Revision In Use: 'File %n, Ver %v, Date %f'</tt></p>
|
|
<p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#aa55cc">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#fffff" face="helvetica, arial"><big><strong>Modules</strong></big></font></td></tr>
|
|
|
|
<tr><td bgcolor="#aa55cc"><tt> </tt></td><td> </td>
|
|
<td width="100%"><table width="100%" summary="list"><tr><td width="25%" valign=top><a href="math.html">math</a><br>
|
|
</td><td width="25%" valign=top><a href="operator.html">operator</a><br>
|
|
</td><td width="25%" valign=top><a href="random.html">random</a><br>
|
|
</td><td width="25%" valign=top></td></tr></table></td></tr></table><p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ee77aa">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#ffffff" face="helvetica, arial"><big><strong>Classes</strong></big></font></td></tr>
|
|
|
|
<tr><td bgcolor="#ee77aa"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl>
|
|
<dt><font face="helvetica, arial"><a href="__builtin__.html#list">__builtin__.list</a>(<a href="__builtin__.html#object">__builtin__.object</a>)
|
|
</font></dt><dd>
|
|
<dl>
|
|
<dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#Table">Table</a>
|
|
</font></dt><dd>
|
|
<dl>
|
|
<dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#Matrix">Matrix</a>
|
|
</font></dt><dd>
|
|
<dl>
|
|
<dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#Square">Square</a>
|
|
</font></dt><dd>
|
|
<dl>
|
|
<dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#Triangular">Triangular</a>
|
|
</font></dt><dd>
|
|
<dl>
|
|
<dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#LowerTri">LowerTri</a>
|
|
</font></dt><dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#UpperTri">UpperTri</a>
|
|
</font></dt></dl>
|
|
</dd>
|
|
</dl>
|
|
</dd>
|
|
</dl>
|
|
</dd>
|
|
<dt><font face="helvetica, arial"><a href="geosolver.matfunc.html#Vec">Vec</a>
|
|
</font></dt></dl>
|
|
</dd>
|
|
</dl>
|
|
</dd>
|
|
</dl>
|
|
<p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="LowerTri">class <strong>LowerTri</strong></a>(<a href="geosolver.matfunc.html#Triangular">Triangular</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#LowerTri">LowerTri</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Triangular">Triangular</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Square">Square</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Matrix">Matrix</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Triangular">Triangular</a>:<br>
|
|
<dl><dt><a name="LowerTri-det"><strong>det</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-eigs"><strong>eigs</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Square">Square</a>:<br>
|
|
<dl><dt><a name="LowerTri-__pow__"><strong>__pow__</strong></a>(self, exp)</dt><dd><tt>Raise a square matrix to an integer power (i.e. A**3 is the same as A.<a href="#LowerTri-mmul">mmul</a>(A.<a href="#LowerTri-mmul">mmul</a>(A))</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-hessenberg"><strong>hessenberg</strong></a>(self)</dt><dd><tt>Householder reduction to Hessenberg Form (zeroes below the diagonal)<br>
|
|
while keeping the same eigenvalues as self.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-inverse"><strong>inverse</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-lu"><strong>lu</strong></a>(self)</dt><dd><tt>Factor a square matrix into lower and upper triangular form such that L.<a href="#LowerTri-mmul">mmul</a>(U)==A</tt></dd></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><a name="LowerTri-__init__"><strong>__init__</strong></a>(self, elems)</dt><dd><tt>Form a matrix from a <a href="__builtin__.html#list">list</a> of lists or a <a href="__builtin__.html#list">list</a> of Vecs</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-augment"><strong>augment</strong></a>(self, otherMat)</dt><dd><tt>Make a new matrix with the two original matrices laid side by side</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-diag"><strong>diag</strong></a>(self)</dt><dd><tt>Return a vector composed of elements on the matrix diagonal</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-mmul"><strong>mmul</strong></a>(self, other)</dt><dd><tt><a href="#Matrix">Matrix</a> multiply by another matrix or a column vector</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-qr"><strong>qr</strong></a>(self, ROnly<font color="#909090">=0</font>)</dt><dd><tt>QR decomposition using Householder reflections: Q*R==self, Q.<a href="#LowerTri-tr">tr</a>()*Q==I(n), R upper triangular</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-rank"><strong>rank</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-solve"><strong>solve</strong></a>(self, b)</dt><dd><tt>Divide matrix into a column vector or matrix and iterate to improve the solution</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-star"><strong>star</strong></a>(self)</dt><dd><tt>Return the Hermetian adjoint so that Star[i][j] = Original[j][i].<a href="#LowerTri-conjugate">conjugate</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-tr"><strong>tr</strong></a>(self)</dt><dd><tt>Tranpose elements so that Transposed[i][j] = Original[j][i]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-trace"><strong>trace</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><strong>cols</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>rows</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>size</strong></dt>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><a name="LowerTri-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#LowerTri-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="LowerTri-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="LowerTri-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#LowerTri-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#LowerTri-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="LowerTri-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#LowerTri-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#LowerTri-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table> <p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="Matrix">class <strong>Matrix</strong></a>(<a href="geosolver.matfunc.html#Table">Table</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#Matrix">Matrix</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods defined here:<br>
|
|
<dl><dt><a name="Matrix-__init__"><strong>__init__</strong></a>(self, elems)</dt><dd><tt>Form a matrix from a <a href="__builtin__.html#list">list</a> of lists or a <a href="__builtin__.html#list">list</a> of Vecs</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-augment"><strong>augment</strong></a>(self, otherMat)</dt><dd><tt>Make a new matrix with the two original matrices laid side by side</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-diag"><strong>diag</strong></a>(self)</dt><dd><tt>Return a vector composed of elements on the matrix diagonal</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-mmul"><strong>mmul</strong></a>(self, other)</dt><dd><tt><a href="#Matrix">Matrix</a> multiply by another matrix or a column vector</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-qr"><strong>qr</strong></a>(self, ROnly<font color="#909090">=0</font>)</dt><dd><tt>QR decomposition using Householder reflections: Q*R==self, Q.<a href="#Matrix-tr">tr</a>()*Q==I(n), R upper triangular</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-rank"><strong>rank</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-solve"><strong>solve</strong></a>(self, b)</dt><dd><tt>Divide matrix into a column vector or matrix and iterate to improve the solution</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-star"><strong>star</strong></a>(self)</dt><dd><tt>Return the Hermetian adjoint so that Star[i][j] = Original[j][i].<a href="#Matrix-conjugate">conjugate</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-tr"><strong>tr</strong></a>(self)</dt><dd><tt>Tranpose elements so that Transposed[i][j] = Original[j][i]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-trace"><strong>trace</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors defined here:<br>
|
|
<dl><dt><strong>cols</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>rows</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>size</strong></dt>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><a name="Matrix-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#Matrix-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Matrix-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="Matrix-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Matrix-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#Matrix-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Matrix-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#Matrix-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#Matrix-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table> <p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="Square">class <strong>Square</strong></a>(<a href="geosolver.matfunc.html#Matrix">Matrix</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#Square">Square</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Matrix">Matrix</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods defined here:<br>
|
|
<dl><dt><a name="Square-__pow__"><strong>__pow__</strong></a>(self, exp)</dt><dd><tt>Raise a square matrix to an integer power (i.e. A**3 is the same as A.<a href="#Square-mmul">mmul</a>(A.<a href="#Square-mmul">mmul</a>(A))</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-det"><strong>det</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-eigs"><strong>eigs</strong></a>(self)</dt><dd><tt>Estimate principal eigenvalues using the QR with shifts method</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-hessenberg"><strong>hessenberg</strong></a>(self)</dt><dd><tt>Householder reduction to Hessenberg Form (zeroes below the diagonal)<br>
|
|
while keeping the same eigenvalues as self.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-inverse"><strong>inverse</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-lu"><strong>lu</strong></a>(self)</dt><dd><tt>Factor a square matrix into lower and upper triangular form such that L.<a href="#Square-mmul">mmul</a>(U)==A</tt></dd></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><a name="Square-__init__"><strong>__init__</strong></a>(self, elems)</dt><dd><tt>Form a matrix from a <a href="__builtin__.html#list">list</a> of lists or a <a href="__builtin__.html#list">list</a> of Vecs</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-augment"><strong>augment</strong></a>(self, otherMat)</dt><dd><tt>Make a new matrix with the two original matrices laid side by side</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-diag"><strong>diag</strong></a>(self)</dt><dd><tt>Return a vector composed of elements on the matrix diagonal</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-mmul"><strong>mmul</strong></a>(self, other)</dt><dd><tt><a href="#Matrix">Matrix</a> multiply by another matrix or a column vector</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-qr"><strong>qr</strong></a>(self, ROnly<font color="#909090">=0</font>)</dt><dd><tt>QR decomposition using Householder reflections: Q*R==self, Q.<a href="#Square-tr">tr</a>()*Q==I(n), R upper triangular</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-rank"><strong>rank</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-solve"><strong>solve</strong></a>(self, b)</dt><dd><tt>Divide matrix into a column vector or matrix and iterate to improve the solution</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-star"><strong>star</strong></a>(self)</dt><dd><tt>Return the Hermetian adjoint so that Star[i][j] = Original[j][i].<a href="#Square-conjugate">conjugate</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-tr"><strong>tr</strong></a>(self)</dt><dd><tt>Tranpose elements so that Transposed[i][j] = Original[j][i]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-trace"><strong>trace</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><strong>cols</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>rows</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>size</strong></dt>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><a name="Square-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#Square-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Square-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="Square-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#Square-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Square-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#Square-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#Square-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#Square-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#Square-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#Square-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#Square-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#Square-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#Square-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#Square-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Square-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#Square-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#Square-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table> <p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="Table">class <strong>Table</strong></a>(<a href="__builtin__.html#list">__builtin__.list</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods defined here:<br>
|
|
<dl><dt><a name="Table-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__init__"><strong>__init__</strong></a>(self, elems)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#Table-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Table-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors defined here:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes defined here:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="Table-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#Table-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Table-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#Table-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#Table-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#Table-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#Table-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#Table-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#Table-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#Table-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#Table-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#Table-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Table-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#Table-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#Table-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table> <p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="Triangular">class <strong>Triangular</strong></a>(<a href="geosolver.matfunc.html#Square">Square</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#Triangular">Triangular</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Square">Square</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Matrix">Matrix</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods defined here:<br>
|
|
<dl><dt><a name="Triangular-det"><strong>det</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-eigs"><strong>eigs</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Square">Square</a>:<br>
|
|
<dl><dt><a name="Triangular-__pow__"><strong>__pow__</strong></a>(self, exp)</dt><dd><tt>Raise a square matrix to an integer power (i.e. A**3 is the same as A.<a href="#Triangular-mmul">mmul</a>(A.<a href="#Triangular-mmul">mmul</a>(A))</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-hessenberg"><strong>hessenberg</strong></a>(self)</dt><dd><tt>Householder reduction to Hessenberg Form (zeroes below the diagonal)<br>
|
|
while keeping the same eigenvalues as self.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-inverse"><strong>inverse</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-lu"><strong>lu</strong></a>(self)</dt><dd><tt>Factor a square matrix into lower and upper triangular form such that L.<a href="#Triangular-mmul">mmul</a>(U)==A</tt></dd></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><a name="Triangular-__init__"><strong>__init__</strong></a>(self, elems)</dt><dd><tt>Form a matrix from a <a href="__builtin__.html#list">list</a> of lists or a <a href="__builtin__.html#list">list</a> of Vecs</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-augment"><strong>augment</strong></a>(self, otherMat)</dt><dd><tt>Make a new matrix with the two original matrices laid side by side</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-diag"><strong>diag</strong></a>(self)</dt><dd><tt>Return a vector composed of elements on the matrix diagonal</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-mmul"><strong>mmul</strong></a>(self, other)</dt><dd><tt><a href="#Matrix">Matrix</a> multiply by another matrix or a column vector</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-qr"><strong>qr</strong></a>(self, ROnly<font color="#909090">=0</font>)</dt><dd><tt>QR decomposition using Householder reflections: Q*R==self, Q.<a href="#Triangular-tr">tr</a>()*Q==I(n), R upper triangular</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-rank"><strong>rank</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-solve"><strong>solve</strong></a>(self, b)</dt><dd><tt>Divide matrix into a column vector or matrix and iterate to improve the solution</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-star"><strong>star</strong></a>(self)</dt><dd><tt>Return the Hermetian adjoint so that Star[i][j] = Original[j][i].<a href="#Triangular-conjugate">conjugate</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-tr"><strong>tr</strong></a>(self)</dt><dd><tt>Tranpose elements so that Transposed[i][j] = Original[j][i]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-trace"><strong>trace</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><strong>cols</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>rows</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>size</strong></dt>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><a name="Triangular-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#Triangular-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Triangular-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="Triangular-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Triangular-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#Triangular-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Triangular-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#Triangular-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#Triangular-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table> <p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="UpperTri">class <strong>UpperTri</strong></a>(<a href="geosolver.matfunc.html#Triangular">Triangular</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#UpperTri">UpperTri</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Triangular">Triangular</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Square">Square</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Matrix">Matrix</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Triangular">Triangular</a>:<br>
|
|
<dl><dt><a name="UpperTri-det"><strong>det</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-eigs"><strong>eigs</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Square">Square</a>:<br>
|
|
<dl><dt><a name="UpperTri-__pow__"><strong>__pow__</strong></a>(self, exp)</dt><dd><tt>Raise a square matrix to an integer power (i.e. A**3 is the same as A.<a href="#UpperTri-mmul">mmul</a>(A.<a href="#UpperTri-mmul">mmul</a>(A))</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-hessenberg"><strong>hessenberg</strong></a>(self)</dt><dd><tt>Householder reduction to Hessenberg Form (zeroes below the diagonal)<br>
|
|
while keeping the same eigenvalues as self.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-inverse"><strong>inverse</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-lu"><strong>lu</strong></a>(self)</dt><dd><tt>Factor a square matrix into lower and upper triangular form such that L.<a href="#UpperTri-mmul">mmul</a>(U)==A</tt></dd></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><a name="UpperTri-__init__"><strong>__init__</strong></a>(self, elems)</dt><dd><tt>Form a matrix from a <a href="__builtin__.html#list">list</a> of lists or a <a href="__builtin__.html#list">list</a> of Vecs</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-augment"><strong>augment</strong></a>(self, otherMat)</dt><dd><tt>Make a new matrix with the two original matrices laid side by side</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-diag"><strong>diag</strong></a>(self)</dt><dd><tt>Return a vector composed of elements on the matrix diagonal</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-mmul"><strong>mmul</strong></a>(self, other)</dt><dd><tt><a href="#Matrix">Matrix</a> multiply by another matrix or a column vector</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-qr"><strong>qr</strong></a>(self, ROnly<font color="#909090">=0</font>)</dt><dd><tt>QR decomposition using Householder reflections: Q*R==self, Q.<a href="#UpperTri-tr">tr</a>()*Q==I(n), R upper triangular</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-rank"><strong>rank</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-solve"><strong>solve</strong></a>(self, b)</dt><dd><tt>Divide matrix into a column vector or matrix and iterate to improve the solution</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-star"><strong>star</strong></a>(self)</dt><dd><tt>Return the Hermetian adjoint so that Star[i][j] = Original[j][i].<a href="#UpperTri-conjugate">conjugate</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-tr"><strong>tr</strong></a>(self)</dt><dd><tt>Tranpose elements so that Transposed[i][j] = Original[j][i]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-trace"><strong>trace</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Matrix">Matrix</a>:<br>
|
|
<dl><dt><strong>cols</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>rows</strong></dt>
|
|
</dl>
|
|
<dl><dt><strong>size</strong></dt>
|
|
</dl>
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><a name="UpperTri-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#UpperTri-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="UpperTri-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="UpperTri-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#UpperTri-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#UpperTri-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="UpperTri-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#UpperTri-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#UpperTri-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table> <p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#ffc8d8">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#000000" face="helvetica, arial"><a name="Vec">class <strong>Vec</strong></a>(<a href="geosolver.matfunc.html#Table">Table</a>)</font></td></tr>
|
|
|
|
<tr><td bgcolor="#ffc8d8"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt>Method resolution order:</dt>
|
|
<dd><a href="geosolver.matfunc.html#Vec">Vec</a></dd>
|
|
<dd><a href="geosolver.matfunc.html#Table">Table</a></dd>
|
|
<dd><a href="__builtin__.html#list">__builtin__.list</a></dd>
|
|
<dd><a href="__builtin__.html#object">__builtin__.object</a></dd>
|
|
</dl>
|
|
<hr>
|
|
Methods defined here:<br>
|
|
<dl><dt><a name="Vec-cross"><strong>cross</strong></a>(self, otherVec)</dt><dd><tt>Compute a Vector or Cross Product with another vector</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-dot"><strong>dot</strong></a>(self, otherVec)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-house"><strong>house</strong></a>(self, index)</dt><dd><tt>Compute a Householder vector which zeroes all but the index element after a reflection</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-norm"><strong>norm</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-normSquared"><strong>normSquared</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-normalize"><strong>normalize</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-outer"><strong>outer</strong></a>(self, otherVec)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-polyval"><strong>polyval</strong></a>(self, x)</dt><dd><tt><a href="#Vec">Vec</a>([6,3,4]).<a href="#Vec-polyval">polyval</a>(5) evaluates to 6*x**2 + 3*x + 4 at x=5</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-ratval"><strong>ratval</strong></a>(self, x)</dt><dd><tt><a href="#Vec">Vec</a>([10,20,30,40,50]).<a href="#-ratfit">ratfit</a>(5) evaluates to (10*x**2 + 20*x + 30) / (40*x**2 + 50*x + 1) at x=5.</tt></dd></dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><a name="Vec-__abs__"><strong>__abs__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__add__"><strong>__add__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__div__"><strong>__div__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__eq__"><strong>__eq__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__getslice__"><strong>__getslice__</strong></a>(self, i, j)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__hash__"><strong>__hash__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__init__"><strong>__init__</strong></a>(self, elems)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__mul__"><strong>__mul__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__neg__"><strong>__neg__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__radd__"><strong>__radd__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__rdiv__"><strong>__rdiv__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__rmul__"><strong>__rmul__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__rsub__"><strong>__rsub__</strong></a>(self, lhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__str__"><strong>__str__</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-__sub__"><strong>__sub__</strong></a>(self, rhs)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-conjugate"><strong>conjugate</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-exists"><strong>exists</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-flatten"><strong>flatten</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-forall"><strong>forall</strong></a>(self, predicate)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-imag"><strong>imag</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-makehash"><strong>makehash</strong></a>(self)</dt><dd><tt># by Rick van der Meiden 2007-01-25<br>
|
|
# Tables and it's subclasses can now be used <br>
|
|
# in sets and dictionaries, but please be <br>
|
|
# careful with mutations. It is possible<br>
|
|
# to compute a new __hash__ by calling<br>
|
|
# <a href="#Vec-makehash">makehash</a>()</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-map"><strong>map</strong></a>(self, op, rhs<font color="#909090">=None</font>)</dt><dd><tt>Apply a unary operator to every element in the matrix or a binary operator to corresponding<br>
|
|
elements in two arrays. If the dimensions are different, broadcast the smaller dimension over<br>
|
|
the larger (i.e. match a scalar to every element in a vector or a vector to a matrix).</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-prod"><strong>prod</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-real"><strong>real</strong></a>(self)</dt></dl>
|
|
|
|
<dl><dt><a name="Vec-sum"><strong>sum</strong></a>(self)</dt></dl>
|
|
|
|
<hr>
|
|
Data descriptors inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>__dict__</strong></dt>
|
|
<dd><tt>dictionary for instance variables (if defined)</tt></dd>
|
|
</dl>
|
|
<dl><dt><strong>__weakref__</strong></dt>
|
|
<dd><tt>list of weak references to the object (if defined)</tt></dd>
|
|
</dl>
|
|
<hr>
|
|
Data and other attributes inherited from <a href="geosolver.matfunc.html#Table">Table</a>:<br>
|
|
<dl><dt><strong>dim</strong> = 1</dl>
|
|
|
|
<hr>
|
|
Methods inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><a name="Vec-__contains__"><strong>__contains__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__contains__">__contains__</a>(y) <==> y in x</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__delitem__"><strong>__delitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__delitem__">__delitem__</a>(y) <==> del x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__delslice__"><strong>__delslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__delslice__">__delslice__</a>(i, j) <==> del x[i:j]<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__ge__"><strong>__ge__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__ge__">__ge__</a>(y) <==> x>=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__getattribute__"><strong>__getattribute__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__getattribute__">__getattribute__</a>('name') <==> x.name</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__getitem__"><strong>__getitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__getitem__">__getitem__</a>(y) <==> x[y]</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__gt__"><strong>__gt__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__gt__">__gt__</a>(y) <==> x>y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__iadd__"><strong>__iadd__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__iadd__">__iadd__</a>(y) <==> x+=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__imul__"><strong>__imul__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__imul__">__imul__</a>(y) <==> x*=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__iter__"><strong>__iter__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__iter__">__iter__</a>() <==> iter(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__le__"><strong>__le__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__le__">__le__</a>(y) <==> x<=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__len__"><strong>__len__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__len__">__len__</a>() <==> len(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__lt__"><strong>__lt__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__lt__">__lt__</a>(y) <==> x<y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__ne__"><strong>__ne__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__ne__">__ne__</a>(y) <==> x!=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__repr__"><strong>__repr__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__repr__">__repr__</a>() <==> repr(x)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__reversed__"><strong>__reversed__</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-__reversed__">__reversed__</a>() -- return a reverse iterator over the <a href="__builtin__.html#list">list</a></tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__setitem__"><strong>__setitem__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__setitem__">__setitem__</a>(i, y) <==> x[i]=y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-__setslice__"><strong>__setslice__</strong></a>(...)</dt><dd><tt>x.<a href="#Vec-__setslice__">__setslice__</a>(i, j, y) <==> x[i:j]=y<br>
|
|
<br>
|
|
Use of negative indices is not supported.</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-append"><strong>append</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-append">append</a>(object) -- append object to end</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-concat"><strong>concat</strong></a> = __add__(...)</dt><dd><tt>x.<a href="#Vec-__add__">__add__</a>(y) <==> x+y</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-count"><strong>count</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-count">count</a>(value) -> integer -- return number of occurrences of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-extend"><strong>extend</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-extend">extend</a>(iterable) -- extend <a href="__builtin__.html#list">list</a> by appending elements from the iterable</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-index"><strong>index</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-index">index</a>(value, [start, [stop]]) -> integer -- return first index of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-insert"><strong>insert</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-insert">insert</a>(index, object) -- insert object before index</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-pop"><strong>pop</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-pop">pop</a>([index]) -> item -- remove and return item at index (default last)</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-remove"><strong>remove</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-remove">remove</a>(value) -- remove first occurrence of value</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-reverse"><strong>reverse</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-reverse">reverse</a>() -- reverse *IN PLACE*</tt></dd></dl>
|
|
|
|
<dl><dt><a name="Vec-sort"><strong>sort</strong></a>(...)</dt><dd><tt>L.<a href="#Vec-sort">sort</a>(cmp=None, key=None, reverse=False) -- stable sort *IN PLACE*;<br>
|
|
cmp(x, y) -> -1, 0, 1</tt></dd></dl>
|
|
|
|
<hr>
|
|
Data and other attributes inherited from <a href="__builtin__.html#list">__builtin__.list</a>:<br>
|
|
<dl><dt><strong>__new__</strong> = <built-in method __new__ of type object at 0x814a120><dd><tt>T.<a href="#Vec-__new__">__new__</a>(S, ...) -> a new object with type S, a subtype of T</tt></dl>
|
|
|
|
</td></tr></table></td></tr></table><p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#eeaa77">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#ffffff" face="helvetica, arial"><big><strong>Functions</strong></big></font></td></tr>
|
|
|
|
<tr><td bgcolor="#eeaa77"><tt> </tt></td><td> </td>
|
|
<td width="100%"><dl><dt><a name="-Mat"><strong>Mat</strong></a>(elems)</dt><dd><tt>Factory function to create a new matrix.</tt></dd></dl>
|
|
<dl><dt><a name="-eye"><strong>eye</strong></a>(m<font color="#909090">=1</font>, n<font color="#909090">=None</font>)</dt><dd><tt>Identity matrix with side length m-by-m or m-by-n</tt></dd></dl>
|
|
<dl><dt><a name="-funToVec"><strong>funToVec</strong></a>(tgtfun, low<font color="#909090">=-1</font>, high<font color="#909090">=1</font>, steps<font color="#909090">=40</font>, EqualSpacing<font color="#909090">=0</font>)</dt><dd><tt>Compute x,y points from evaluating a target function over an interval (low to high)<br>
|
|
at evenly spaces points or with Chebyshev abscissa spacing (default)</tt></dd></dl>
|
|
<dl><dt><a name="-funfit"><strong>funfit</strong></a>((xvec, yvec), basisfuns)</dt><dd><tt>Solves design matrix for approximating to basis functions</tt></dd></dl>
|
|
<dl><dt><a name="-genmat"><strong>genmat</strong></a>(m, n, func)</dt></dl>
|
|
<dl><dt><a name="-getconj"><strong>getconj</strong></a>(z)</dt></dl>
|
|
<dl><dt><a name="-getimag"><strong>getimag</strong></a>(z)</dt></dl>
|
|
<dl><dt><a name="-getreal"><strong>getreal</strong></a>(z)</dt></dl>
|
|
<dl><dt><a name="-hilb"><strong>hilb</strong></a>(m<font color="#909090">=1</font>, n<font color="#909090">=None</font>)</dt><dd><tt>Hilbert matrix with side length m-by-m or m-by-n. Elem[i][j]=1/(i+j+1)</tt></dd></dl>
|
|
<dl><dt><a name="-iszero"><strong>iszero</strong></a>(z)</dt></dl>
|
|
<dl><dt><a name="-polyfit"><strong>polyfit</strong></a>((xvec, yvec), degree<font color="#909090">=2</font>)</dt><dd><tt>Solves Vandermonde design matrix for approximating polynomial coefficients</tt></dd></dl>
|
|
<dl><dt><a name="-rand"><strong>rand</strong></a>(m<font color="#909090">=1</font>, n<font color="#909090">=None</font>)</dt><dd><tt>Random matrix with side length m-by-m or m-by-n</tt></dd></dl>
|
|
<dl><dt><a name="-ratfit"><strong>ratfit</strong></a>((xvec, yvec), degree<font color="#909090">=2</font>)</dt><dd><tt>Solves design matrix for approximating rational polynomial coefficients (a*x**2 + b*x + c)/(d*x**2 + e*x + 1)</tt></dd></dl>
|
|
<dl><dt><a name="-zeroes"><strong>zeroes</strong></a>(m<font color="#909090">=1</font>, n<font color="#909090">=None</font>)</dt><dd><tt>Zero matrix with side length m-by-m or m-by-n.</tt></dd></dl>
|
|
</td></tr></table><p>
|
|
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
|
|
<tr bgcolor="#55aa55">
|
|
<td colspan=3 valign=bottom> <br>
|
|
<font color="#ffffff" face="helvetica, arial"><big><strong>Data</strong></big></font></td></tr>
|
|
|
|
<tr><td bgcolor="#55aa55"><tt> </tt></td><td> </td>
|
|
<td width="100%"><strong>NPOST</strong> = 0<br>
|
|
<strong>NPRE</strong> = 0<br>
|
|
<strong>Version</strong> = 'File MATFUNC.PY, Ver 183, Date 12-Dec-2002,14:33:42'<br>
|
|
<strong>separator</strong> = ['', '<font color="#c040c0">\t</font>', '<font color="#c040c0">\n</font>', '<font color="#c040c0">\n</font>----------<font color="#c040c0">\n</font>', '<font color="#c040c0">\n</font>===========<font color="#c040c0">\n</font>']</td></tr></table>
|
|
</body></html> |