control_systems_torbox 0.2.1

Control systems toolbox
Documentation 
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<HTML>
<HEAD><TITLE>MA02FD - SLICOT Library Routine Documentation</TITLE>
</HEAD>
<BODY>

<H2><A Name="MA02FD">MA02FD</A></H2>
<H3>
Hyperbolic plane rotation
</H3>
<A HREF ="#Specification"><B>[Specification]</B></A>
<A HREF ="#Arguments"><B>[Arguments]</B></A>
<A HREF ="#Method"><B>[Method]</B></A>
<A HREF ="#References"><B>[References]</B></A>
<A HREF ="#Comments"><B>[Comments]</B></A>
<A HREF ="#Example"><B>[Example]</B></A>

<P>
<B><FONT SIZE="+1">Purpose</FONT></B>
<PRE>
  To compute the coefficients c and s (c^2 + s^2 = 1) for a modified
  hyperbolic plane rotation, such that,

      y1 := 1/c * x1 - s/c * x2 = sqrt(x1^2 - x2^2),
      y2 :=  -s * y1 +  c  * x2 = 0,

  given two real numbers x1 and x2, satisfying either x1 = x2 = 0,
  or abs(x2) &lt; abs(x1).

</PRE>
<A name="Specification"><B><FONT SIZE="+1">Specification</FONT></B></A>
<PRE>
      SUBROUTINE MA02FD( X1, X2, C, S, INFO )
C     .. Scalar Arguments ..
      DOUBLE PRECISION  X1, X2, C, S
      INTEGER           INFO

</PRE>
<A name="Arguments"><B><FONT SIZE="+1">Arguments</FONT></B></A>
<P>

</PRE>
<B>Input/Output Parameters</B>
<PRE>
  X1      (input/output) DOUBLE PRECISION
          On entry, the real number x1.
          On exit, the real number y1.

  X2      (input) DOUBLE PRECISION
          The real number x2.
          The values x1 and x2 should satisfy either x1 = x2 = 0, or
          abs(x2) &lt; abs(x1).

  C       (output) DOUBLE PRECISION
          The cosines c of the modified hyperbolic plane rotation.

  S       (output) DOUBLE PRECISION
          The sines s of the modified hyperbolic plane rotation.

</PRE>
<B>Error Indicator</B>
<PRE>
  INFO    INTEGER
          = 0:  succesful exit;
          = 1:  if abs(x2) &gt;= abs(x1) and either x1 &lt;&gt; 0 or x2 &lt;&gt; 0.

</PRE>

<A name="Comments"><B><FONT SIZE="+1">Further Comments</FONT></B></A>
<PRE>
  None
</PRE>

<A name="Example"><B><FONT SIZE="+1">Example</FONT></B></A>
<P>
<B>Program Text</B>
<PRE>
  None
</PRE>
<B>Program Data</B>
<PRE>
  None
</PRE>
<B>Program Results</B>
<PRE>
  None
</PRE>

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