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<div class=Section1>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>I have a very complex function for which I would like to
take the first derivative.<span style='mso-spacerun:yes'> </span>The
problem is that involves the inverse of a Matrix.<o:p></o:p></span></font></p>
<p class=MsoNormal><span class=SpellE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>DerivVar</span></font></span><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'> chokes on <span
class=SpellE>Numpy's</span> inverse because it is not implemented in
Python.<span style='mso-spacerun:yes'> </span>Upon some advice from
Konrad Hinsen I retrieved the <span class=SpellE>matfunc.py</span> module with
high hopes.<span style='mso-spacerun:yes'> </span>Unfortunately, these
hopes were soon dashed due to the absence of the __float__ attribute in the <span
class=SpellE>DerivVar</span> object.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Any advice would be greatly appreciated.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>C = <span class=SpellE><span class=GramE>matfunc.makeMat</span></span><span
class=GramE>(</span>[[<span class=SpellE>DerivVar</span>(1.0,0),2],[3,5]])<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>>>> <span class=SpellE><span class=GramE>C.mmul</span></span><span
class=GramE>(</span><span class=SpellE>C.inverse</span>())<o:p></o:p></span></font></p>
<p class=MsoNormal><span class=SpellE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>Traceback</span></font></span><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'> (most
recent call last):<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"<interactive input>", line 1, <span class=GramE>in ?</span><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 183, in inverse<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span><span
class=GramE>return</span> <span class=SpellE>self.solve</span>( eye(<span
class=SpellE>self.rows</span>) )<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 143, in solve<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span><span
class=GramE>if</span> <span class=SpellE>isinstance</span>(<span class=SpellE>b,Mat</span>):
return <span class=SpellE>makeMat</span>( map(<span class=SpellE>self.solve</span>,
<span class=SpellE>b.tr</span>()) ).<span class=SpellE>tr</span>()<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 145, in solve<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>x =
<span class=SpellE>self._<span class=GramE>solve</span></span><span
class=GramE>(</span> b )<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 139, in _solve<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>Q,
R = <span class=SpellE><span class=GramE>self.qr</span></span><span
class=GramE>()</span><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 127, in <span class=SpellE><span class=GramE>qr</span></span><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span><span
class=GramE>v</span>, beta = <span class=SpellE>R.tr</span>()[<span
class=SpellE>i</span>].house(<span class=SpellE>i</span>)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 81, in house<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>v =
<span class=SpellE><span class=GramE>Vec</span></span><span class=GramE>(</span>
<span class=SpellE>Elementwise</span>([0]*index).<span class=SpellE>concat</span>(self[index:])
).normalize()<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 72, <span class=GramE>in</span> normalize<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span><span
class=GramE>def</span> normalize( self ):<span style='mso-spacerun:yes'>
</span>return self / <span class=SpellE>self.norm</span>()<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>File
"C:\Documents and Settings\<span class=SpellE>PoulsenL\Desktop\PyMCMC\matfunc.py</span>",
line 71, in norm<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><span style='mso-spacerun:yes'> </span>def
norm( self ):<span style='mso-spacerun:yes'> </span>return <span
class=SpellE>math.sqrt</span>(abs( <span class=SpellE>self.dot</span>(<span
class=SpellE>self.conjugate</span>()) ))<o:p></o:p></span></font></p>
<p class=MsoNormal><span class=SpellE><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>AttributeError</span></font></span><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'>: <span
class=SpellE>DerivVar</span> instance has no attribute '__float__'<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>>>><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Loren Poulsen<o:p></o:p></span></font></p>
</div>
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