Artifact 9c38969bc03f59a8a1bcfdff27d28bb181815d092db01a24d023f2a5d20c88a8:

• Executable file r37/lisp/csl/html/r37_0593.html — part of check-in [f2fda60abd] at 2011-09-02 18:13:33 on branch master — Some historical releases purely for archival purposes

  git-svn-id: https://svn.code.sf.net/p/reduce-algebra/code/trunk/historical@1375 2bfe0521-f11c-4a00-b80e-6202646ff360 (user: arthurcnorman@users.sourceforge.net, size: 1011) [annotate] [blame] [check-ins using] [more...]

<A NAME=hessian>

<TITLE>hessian</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>HESSIAN</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>hessian</em>(&lt;expr&gt;,&lt;variable\_list&gt;) 
<P>
<P>
<P>
&lt;expr&gt; :- a scalar expression. 
<P>
<P>
&lt;variable\_list&gt; :- either a single variable or a list of 
 variables. 
<P>
<P>
<em>hessian</em>computes the hessian matrix of &lt;expr&gt; w.r.t. the 
variables in &lt;variable\_list&gt;. 
<P>
<P>
This is an n by n matrix where n is the number of variables and the 
(i,j)'th entry is 
<A HREF=r37_0148.html>df</A>(&lt;expr&gt;,&lt;variable\_list&gt;(i), 
&lt;variable\_list&gt;(j)). 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>

hessian(x*y*z+x^2,{w,x,y,z}); 

  [0  0  0  0]
  [          ]
  [0  2  z  y]
  [          ]
  [0  z  0  x]
  [          ]
  [0  y  x  0]

</TT></PRE><P>Related functions: 
<A HREF=r37_0148.html>df</A>. 
<P>
<P>