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<html>
<head>
<title>
LINPACK_D - Linear Algebra Library - Double Precision Real
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
LINPACK_D <br> Linear Algebra Library <br> Double Precision Real
</h1>
<hr>
<p>
<b>LINPACK_D</b>
is a C++ library which
can solve systems of linear
equations for a variety
of matrix types and storage modes, using double precision real arithmetic,
by Jack Dongarra, Cleve Moler, Jim Bunch, 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 has officially been superseded by the LAPACK library.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_D</b> is available in
<a href = "../../c_src/linpack_d/linpack_d.html">a C version</a> and
<a href = "../../cpp_src/linpack_d/linpack_d.html">a C++ version</a> and
<a href = "../../f77_src/linpack_d/linpack_d.html">a FORTRAN77 version</a> and
<a href = "../../f_src/linpack_d/linpack_d.html">a FORTRAN90 version</a> and
<a href = "../../m_src/linpack_d/linpack_d.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blas1_d/blas1_d.html">
BLAS1_D</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using double precision real arithmetic.
</p>
<p>
<a href = "../../cpp_src/condition/condition.html">
CONDITION</a>,
a C++ library which
implements methods of computing or estimating the condition number of a matrix.
</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_c/linpack_c.html">
LINPACK_C</a>,
a C++ library which
solves linear systems using single precision complex 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/qr_solve/qr_solve.html">
QR_SOLVE</a>,
a C++ library which
computes the least squares solution of a linear system A*x=b.
</p>
<p>
<a href = "../../cpp_src/test_mat/test_mat.html">
TEST_MAT</a>,
a C++ library which
defines test matrices.
</p>
<p>
<a href = "../../cpp_src/toeplitz_cholesky/toeplitz_cholesky.html">
TOEPLITZ_CHOLESKY</a>,
a C++ library which
computes the Cholesky factorization of a nonnegative definite symmetric
Toeplitz matrix.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by Jack Dongarra, Cleve Moler, Jim Bunch, 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_d.cpp">linpack_d.cpp</a>, the source code for
the double precision real library;
</li>
<li>
<a href = "linpack_d.hpp">linpack_d.hpp</a>, the include file
for the double precision real library;
</li>
<li>
<a href = "linpack_d.sh">
linpack_d.sh</a>, commands to compile the source code
for the double precision real library;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "linpack_d_prb.cpp">
linpack_d_prb.cpp</a>, the calling program for the double
precision real library;
</li>
<li>
<a href = "linpack_d_prb.sh">
linpack_d_prb.sh</a>, commands to run the calling program;
</li>
<li>
<a href = "linpack_d_prb_output.txt">linpack_d_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>DCHDC</b> computes the Cholesky decomposition of a positive definite matrix.
</li>
<li>
<b>DCHDD</b> downdates an augmented Cholesky decomposition.
</li>
<li>
<b>DCHEX</b> updates the Cholesky factorization of a positive definite matrix.
</li>
<li>
<b>DCHUD</b> updates an augmented Cholesky decomposition.
</li>
<li>
<b>DGBCO</b> factors a real band matrix and estimates its condition.
</li>
<li>
<b>DGBDI</b> computes the determinant of a band matrix factored by DGBCO or DGBFA.
</li>
<li>
<b>DGBFA</b> factors a real band matrix by elimination.
</li>
<li>
<b>DGBSL</b> solves a real banded system factored by DGBCO or DGBFA.
</li>
<li>
<b>DGECO</b> factors a real matrix and estimates its condition number.
</li>
<li>
<b>DGEDI</b> computes the determinant and inverse of a matrix factored by DGECO or DGEFA.
</li>
<li>
<b>DGEFA</b> factors a real general matrix.
</li>
<li>
<b>DGESL</b> solves a real general linear system A * X = B.
</li>
<li>
<b>DGTSL</b> solves a general tridiagonal linear system.
</li>
<li>
<b>DPBCO</b> factors a real symmetric positive definite banded matrix.
</li>
<li>
<b>DPBDI</b> computes the determinant of a matrix factored by DPBCO or DPBFA.
</li>
<li>
<b>DPBFA</b> factors a symmetric positive definite matrix stored in band form.
</li>
<li>
<b>DPBSL</b> solves a real SPD band system factored by DPBCO or DPBFA.
</li>
<li>
<b>DPOCO</b> factors a real symmetric positive definite matrix and estimates its condition.
</li>
<li>
<b>DPODI</b> computes the determinant and inverse of a certain matrix.
</li>
<li>
<b>DPOFA</b> factors a real symmetric positive definite matrix.
</li>
<li>
<b>DPOSL</b> solves a linear system factored by DPOCO or DPOFA.
</li>
<li>
<b>DPPDI</b> computes the determinant and inverse of a matrix factored by DPPCO or DPPFA.
</li>
<li>
<b>DPPFA</b> factors a real symmetric positive definite matrix in packed form.
</li>
<li>
<b>DPPSL</b> solves a real symmetric positive definite system factored by DPPCO or DPPFA.
</li>
<li>
<b>DPTSL</b> solves a positive definite tridiagonal linear system.
</li>
<li>
<b>DQRDC</b> computes the QR factorization of a real rectangular matrix.
</li>
<li>
<b>DQRSL</b> computes transformations, projections, and least squares solutions.
</li>
<li>
<b>DSICO</b> factors a real symmetric matrix and estimates its condition.
</li>
<li>
<b>DSIDI</b> computes the determinant, inertia and inverse of a real symmetric matrix.
</li>
<li>
<b>DSIFA</b> factors a real symmetric matrix.
</li>
<li>
<b>DSISL</b> solves a real symmetric system factored by DSIFA.
</li>
<li>
<b>DSPCO</b> factors a real symmetric matrix stored in packed form.
</li>
<li>
<b>DSPDI</b> computes the determinant, inertia and inverse of a real symmetric matrix.
</li>
<li>
<b>DSPFA</b> factors a real symmetric matrix stored in packed form.
</li>
<li>
<b>DSPSL</b> solves the real symmetric system factored by DSPFA.
</li>
<li>
<b>DSVDC</b> computes the singular value decomposition of a real rectangular matrix.
</li>
<li>
<b>DTRCO</b> estimates the condition of a real triangular matrix.
</li>
<li>
<b>DTRDI</b> computes the determinant and inverse of a real
triangular matrix.
</li>
<li>
<b>DTRSL</b> solves triangular linear systems.
</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>