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asa103.html
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<html>
<head>
<title>
ASA103 - The Digamma or Psi Function
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ASA103 <br> The Digamma or Psi Function
</h1>
<hr>
<p>
<b>ASA103</b>
is a FORTRAN90 library which
evaluates the digamma or psi function,
by Jose Bernardo.
</p>
<p>
<b>ASA103</b> is Applied Statistics Algorithm 103. Source code for many
Applied Statistics Algorithms is available through
<a href = "http://lib.stat.cmu.edu/apstat">STATLIB</a>.
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>ASA103</b> is available in
<a href = "../../c_src/asa103/asa103.html">a C version</a> and
<a href = "../../cpp_src/asa103/asa103.html">a C++ version</a> and
<a href = "../../f77_src/asa103/asa103.html">a FORTRAN77 version</a> and
<a href = "../../f_src/asa103/asa103.html">a FORTRAN90 version</a> and
<a href = "../../m_src/asa103/asa103.html">a MATLAB version</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/asa121/asa121.html">
ASA121</a>,
a FORTRAN90 library which
evaluates the trigamma function.
</p>
<p>
<a href = "../../f_src/specfun/specfun.html">
SPECFUN</a>,
a FORTRAN90 library which
computes special functions, including the Psi or Digamma function.
</p>
<p>
<a href = "../../f_src/test_values/test_values.html">
TEST_VALUES</a>,
a FORTRAN90 library which
contains sample values for a number of distributions.
</p>
<p>
<a href = "../../f_src/toms708/toms708.html">
TOMS708</a>,
a FORTRAN90 library which
includes routines to evaluate the digamma function.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by Jose Bernardo;
FORTRAN90 version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Jose Bernardo,<br>
Algorithm AS 103:
Psi ( Digamma ) Function,<br>
Applied Statistics,<br>
Volume 25, Number 3, 1976, pages 315-317.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "asa103.f90">asa103.f90</a>, the source code.
</li>
<li>
<a href = "asa103.sh">asa103.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "asa103_prb.f90">asa103_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "asa103_prb.sh">asa103_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "asa103_prb_output.txt">asa103_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>DIGAMA</b> calculates DIGAMMA ( X ) = d ( LOG ( GAMMA ( X ) ) ) / dX
</li>
<li>
<b>PSI_VALUES</b> returns some values of the Psi or Digamma function for testing.
</li>
<li>
<b>TIMESTAMP</b> prints out the current YMDHMS date as a timestamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 18 January 2008.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>