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<html>
<head>
<title>
LINPACK_C - Linear Algebra Library - Single Precision Complex
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
LINPACK_C <br> Linear Algebra Library <br> Single Precision Complex
</h1>
<hr>
<p>
<b>LINPACK_C</b>
is a C++ library which
can solve systems of linear equations for a variety
of matrix types and storage modes, using single precision complex arithmetic,
by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
</p>
<p>
<b>LINPACK</b> has officially been superseded by the LAPACK library. The LAPACK
library uses more modern algorithms and code structure. However,
the LAPACK library can be extraordinarily complex; what is done
in a single <b>LINPACK</b> routine may correspond to 10 or 20 utility
routines in LAPACK. This is fine if you treat LAPACK as a black
box. But if you wish to learn how the algorithm works, or
to adapt it, or to convert the code to another language, this
is a real drawback. This is one reason I still keep a copy
of <b>LINPACK</b> around.
</p>
<p>
Versions of <b>LINPACK</b> in various arithmetic precisions are available
through <a href = "http://www.netlib.org/">the NETLIB web site</a>.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>LINPACK_C</b> is available in
<a href = "../../cpp_src/linpack_c/linpack_c.html">a C++ version</a> and
<a href = "../../f77_src/linpack_c/linpack_c.html">a FORTRAN77 version</a> and
<a href = "../../f_src/linpack_c/linpack_c.html">a FORTRAN90 version</a> and
<a href = "../../m_src/linpack_c/linpack_c.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blas1_c/blas1_c.html">
BLAS1_C</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using single precision complex arithmetic.
</p>
<p>
<a href = "../../cpp_src/complex_numbers/complex_numbers.html">
COMPLEX_NUMBERS</a>,
a C++ program which
demonstrates some simple features involved in the use of
complex numbers in C programming.
</p>
<p>
<a href = "../../f77_src/lapack_examples/lapack_examples.html">
LAPACK_EXAMPLES</a>,
a FORTRAN77 program which
demonstrates the use of the LAPACK linear algebra library.
</p>
<p>
<a href = "../../cpp_src/linpack_bench/linpack_bench.html">
LINPACK_BENCH</a>,
a C++ program which
measures the time taken by <b>LINPACK</b> to solve a particular linear system.
</p>
<p>
<a href = "../../cpp_src/linpack_d/linpack_d.html">
LINPACK_D</a>,
a C++ library which
solves linear systems using double precision real arithmetic;
</p>
<p>
<a href = "../../cpp_src/linpack_s/linpack_s.html">
LINPACK_S</a>,
a C++ library which
solves linear systems using single precision real arithmetic;
</p>
<p>
<a href = "../../cpp_src/linpack_z/linpack_z.html">
LINPACK_Z</a>,
a C++ library which
solves linear systems using double precision complex arithmetic;
</p>
<p>
<a href = "../../cpp_src/linplus/linplus.html">
LINPLUS</a>,
a C++ library which
carries out simple manipulations of matrices in a variety of formats.
</p>
<p>
<a href = "../../cpp_src/test_mat/test_mat.html">
TEST_MAT</a>,
a C++ library which
defines test matrices.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart.
C++ version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,<br>
LINPACK User's Guide,<br>
SIAM, 1979,<br>
ISBN13: 978-0-898711-72-1,<br>
LC: QA214.L56.
</li>
<li>
Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,<br>
Algorithm 539,
Basic Linear Algebra Subprograms for Fortran Usage,<br>
ACM Transactions on Mathematical Software,<br>
Volume 5, Number 3, September 1979, pages 308-323.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "linpack_c.cpp">linpack_c.cpp</a>, the source code;
</li>
<li>
<a href = "linpack_c.hpp">linpack_c.hpp</a>, the include file;
</li>
<li>
<a href = "linpack_c.sh">
linpack_c.sh</a>, commands to compile the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "linpack_c_prb.cpp">
linpack_c_prb.cpp</a>, the calling program for the double
precision real library;
</li>
<li>
<a href = "linpack_c_prb.sh">
linpack_c_prb.sh</a>, commands to run the calling program;
</li>
<li>
<a href = "linpack_c_prb_output.txt">linpack_c_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>CCHDC:</b> Cholesky decomposition of a Hermitian positive definite matrix.
</li>
<li>
<b>CCHDD</b> downdates an augmented Cholesky decomposition.
</li>
<li>
<b>CCHEX</b> updates a Cholesky factorization.
</li>
<li>
<b>CCHUD</b> updates an augmented Cholesky decomposition.
</li>
<li>
<b>CGBCO</b> factors a complex band matrix and estimates its condition.
</li>
<li>
<b>CGBDI</b> computes the determinant of a band matrix factored by CGBCO or CGBFA.
</li>
<li>
<b>CGBFA</b> factors a complex band matrix by elimination.
</li>
<li>
<b>CGBSL</b> solves a complex band system factored by CGBCO or CGBFA.
</li>
<li>
<b>CGECO</b> factors a complex matrix and estimates its condition.
</li>
<li>
<b>CGEDI</b> computes the determinant and inverse of a matrix.
</li>
<li>
<b>CGEFA</b> factors a complex matrix by Gaussian elimination.
</li>
<li>
<b>CGESL</b> solves a complex system factored by CGECO or CGEFA.
</li>
<li>
<b>CGTSL</b> solves a complex general tridiagonal system.
</li>
<li>
<b>CHICO</b> factors a complex hermitian matrix and estimates its condition.
</li>
<li>
<b>CHIDI</b> computes the determinant and inverse of a matrix factored by CHIFA.
</li>
<li>
<b>CHIFA</b> factors a complex hermitian matrix.
</li>
<li>
<b>CHISL</b> solves a complex hermitian system factored by CHIFA.
</li>
<li>
<b>CHPCO</b> factors a complex hermitian packed matrix and estimates its condition.
</li>
<li>
<b>CHPDI:</b> determinant, inertia and inverse of a complex hermitian matrix.
</li>
<li>
<b>CHPFA</b> factors a complex hermitian packed matrix.
</li>
<li>
<b>CHPSL</b> solves a complex hermitian system factored by CHPFA.
</li>
<li>
<b>CPBCO</b> factors a complex <float> hermitian positive definite band matrix.
</li>
<li>
<b>CPBDI</b> gets the determinant of a hermitian positive definite band matrix.
</li>
<li>
<b>CPBFA</b> factors a complex hermitian positive definite band matrix.
</li>
<li>
<b>CPBSL</b> solves a complex hermitian positive definite band system.
</li>
<li>
<b>CPOCO</b> factors a complex hermitian positive definite matrix.
</li>
<li>
<b>CPODI:</b> determinant, inverse of a complex hermitian positive definite matrix.
</li>
<li>
<b>CPOFA</b> factors a complex hermitian positive definite matrix.
</li>
<li>
<b>CPOSL</b> solves a complex hermitian positive definite system.
</li>
<li>
<b>CPPCO</b> factors a complex <float> hermitian positive definite matrix.
</li>
<li>
<b>CPPDI:</b> determinant, inverse of a complex hermitian positive definite matrix.
</li>
<li>
<b>CPPFA</b> factors a complex hermitian positive definite packed matrix.
</li>
<li>
<b>CPPSL</b> solves a complex hermitian positive definite linear system.
</li>
<li>
<b>CPTSL</b> solves a Hermitian positive definite tridiagonal linear system.
</li>
<li>
<b>CQRDC</b> computes the QR factorization of an N by P complex <float> matrix.
</li>
<li>
<b>CQRSL</b> solves, transforms or projects systems factored by CQRDC.
</li>
<li>
<b>CSICO</b> factors a complex symmetric matrix.
</li>
<li>
<b>CSIDI</b> computes the determinant and inverse of a matrix factored by CSIFA.
</li>
<li>
<b>CSIFA</b> factors a complex symmetric matrix.
</li>
<li>
<b>CSISL</b> solves a complex symmetric system that was factored by CSIFA.
</li>
<li>
<b>CSPCO</b> factors a complex <float> symmetric matrix stored in packed form.
</li>
<li>
<b>CSPDI</b> sets the determinant and inverse of a complex symmetric packed matrix.
</li>
<li>
<b>CSPFA</b> factors a complex symmetric matrix stored in packed form.
</li>
<li>
<b>CSPSL</b> solves a complex symmetric system factored by CSPFA.
</li>
<li>
<b>CSVDC</b> applies the singular value decompostion to an N by P matrix.
</li>
<li>
<b>CTRCO</b> estimates the condition of a complex triangular matrix.
</li>
<li>
<b>CTRDI</b> computes the determinant and inverse of a complex triangular matrix.
</li>
<li>
<b>CTRSL</b> solves triangular systems T*X=B or Hermitian(T)*X=B.
</li>
<li>
<b>R4_MAX</b> returns the maximum of two R4's.
</li>
<li>
<b>SROTG</b> constructs a float Givens plane rotation.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 23 June 2009.
</i>
<!-- John Burkardt -->
</body>
</html>