<?xml version="1.0" encoding="ISO-8859-1"?>
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  <info>
    <pubdate>17-May-2010</pubdate>
  </info>

  <refnamediv>
    <refname>_pl_kaFeasiblePoint</refname>
    <refpurpose>Convex operators via optimization (OPT), Kernel average feasible point</refpurpose>
  </refnamediv>

   <refsynopsisdiv>
     <title>Calling Sequence</title>
     <synopsis>y1 = _pl_kaFeasiblePoint(xstart, x, lambda1, lambda2, domf1, domf2, domg)</synopsis>
   </refsynopsisdiv>

   <refsection>
     <title>Parameters</title>
     <variablelist>

       <varlistentry>
         <term>xstart, x</term>
         <listitem>
           <para>real numbers.</para>
         </listitem>
       </varlistentry>

       <varlistentry>
         <term>lambda1, lambda2</term>
         <listitem>
           <para>real numbers satisfying lambda1+lambda2=1 and lambda1,lambda2>=0.</para>
         </listitem>
       </varlistentry>

       <varlistentry>
         <term>domf1, domf2, domg</term>
         <listitem>
           <para>Intervals of the form I=[lb,ub] storing sets of
           points where the respective functions are finite.</para>
         </listitem>
       </varlistentry>

       <varlistentry>
         <term>y1</term>
         <listitem>
           <para>Real number for which the function in the Description
           is finite (or %nan if such a number does not exist).</para>
         </listitem>
       </varlistentry>

     </variablelist>
   </refsection>

   <refsection>
     <title>Description</title>
     <para>
		Computes a feasible point, i.e. a point for which the function
       <!-- <programlisting><![CDATA[
    lambda1 f1(y1) + lambda2 f2(y2) + lambda1 lambda2 g(y1-y2)
]]></programlisting> -->
		<para>
			<inlinemediaobject>
				<imageobject>
					<imagedata fileref="pl_ImagesOfEquationsByLatex/_pl_kaFeasiblePoint/_pl_kaFeasiblePoint_1.png"/>
				</imageobject>
			</inlinemediaobject>
		</para>	   
		<para>is finite.</para>
     </para>
   </refsection>

   <refsection>
     <title>Authors</title>
     <para>
       <simplelist>
         <member>
           Yves Lucet, University of British Columbia, BC, Canada
         </member>
         <member>
           Bryan Gardiner, University of British Columbia, BC, Canada
         </member>
       </simplelist>
     </para>
   </refsection>

</refentry>
