File r37/lisp/csl/html/r37_0481.html artifact 81039ba83d part of check-in 9992369dd3

<A NAME=AGM_FUNCTION>

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



<B>AGM_FUNCTION</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
The <em>AGM_function</em> operator returns a list of (N, AGM, 
 list of aNtoa0, list of bNtob0, list of cNtoc0) where a0, b0 and c0 
are the initial values; N is the index number of the last term 
used to generate the AGM. AGM is the Arithmetic Geometric Mean. 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>AGM_function</em>(&lt;integer&gt;,&lt;integer&gt;,&lt;integer&gt;) 
<P>
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
AGM_function(1,1,1) 

  1,1,1,1,1,1,0,1  


AGM_function(1, 0.1, 1.3) 

  {6,
   2.27985615996629, 
   {2.27985615996629, 2.27985615996629,
    2.2798561599706, 2.2798624278857, 
    2.28742283656583, 2.55, 1},
   {2.27985615996629, 2.27985615996629,
    2.27985615996198, 2.2798498920555, 
    2.27230201920557, 2.02484567313166, 4.1},
   {0, 4.30803136219904e-12, 0.0000062679151007581,
    0.00756040868012758, 0.262577163434171, - 1.55, 5.9}}

</TT></PRE><P>The other Jacobi functions use this function with initial values 
a0=1, b0=sqrt(1-m), c0=sqrt(m). 
<P>
<P>
<P>