linpack_c/linpack_c.html

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      LINPACK_C - Linear Algebra Library - Single Precision Complex
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      LINPACK_C <br> Linear Algebra Library <br> Single Precision Complex
    </h1>

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    <p>
      <b>LINPACK_C</b>
      is a FORTRAN90 library which
      solves systems of linear
      equations for a variety of matrix types and storage modes.
    </p>

    <p>
      <b>LINPACK</b> has officially been superseded by the
      <a href = "../../f_src/lapack/lapack.html">LAPACK</a> 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 = "../../f_src/blas1_c/blas1_c.html">
      BLAS1_C</a>,
      a FORTRAN90 library which
      contains basic linear algebra routines for vector-vector operations,
      using single precision complex arithmetic.
    </p>

    <p>
      <a href = "../../f_src/c4lib/c4lib.html">
      C4LIB</a>,
      a FORTRAN90 library which
      implements certain elementary functions for single precision complex variables;
    </p>

    <p>
      <a href = "../../f_src/complex_numbers/complex_numbers.html">
      COMPLEX_NUMBERS</a>,
      a FORTRAN90 program which
      demonstrates some simple features involved in the use of
      complex numbers in FORTRAN90 programming.
    </p>

    <p>
      <a href = "../../f_src/lapack_examples/lapack_examples.html">
      LAPACK_EXAMPLES</a>,
      a FORTRAN90 program which
      demonstrates the use of the LAPACK linear algebra library.
    </p>

    <p>
      <a href = "../../f_src/linpack_bench/linpack_bench.html">
      LINPACK_BENCH</a>,
      a FORTRAN90 library which
      is a benchmark which measures the time
      taken by <b>LINPACK</b> to solve a particular linear system.
    </p>

    <p>
      <a href = "../../f_src/linpack_d/linpack_d.html">
      LINPACK_D</a>,
      a FORTRAN90 library which
      is a version of <b>LINPACK</b> for double precision
      real arithmetic.
    </p>

    <p>
      <a href = "../../f_src/linpack_s/linpack_s.html">
      LINPACK_S</a>,
      a FORTRAN90 library which
      is a version of <b>LINPACK</b> for single precision
      real arithmetic.
    </p>

    <p>
      <a href = "../../f_src/linpack_z/linpack_z.html">
      LINPACK_Z</a>,
      a FORTRAN90 library which
      is a version of <b>LINPACK</b> for double precision
      complex arithmetic.
    </p>

    <p>
      <a href = "../../f_src/linplus/linplus.html">
      LINPLUS</a>,
      a FORTRAN90 library which
      carries out some linear algebra
      operations on matrices stored in formats not handled by <b>LINPACK</b>.
    </p>

    <p>
      <a href = "../../f_src/nms/nms.html">
      NMS</a>,
      a FORTRAN90 library which
      includes <b>LINPACK</b>.
    </p>

    <p>
      <a href = "../../f_src/slatec/slatec.html">
      SLATEC</a>,
      a FORTRAN90 library which
      includes <b>LINPACK</b>.
    </p>

    <p>
      <a href = "../../f_src/test_mat/test_mat.html">
      TEST_MAT</a>,
      a FORTRAN90 library which
      defines test matrices, some of
      which have known determinants, eigenvalues and eigenvectors,
      inverses and so on.
    </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>

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      Source Code:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "linpack_c.f90">linpack_c.f90</a>,
          the source code;
        </li>
        <li>
          <a href = "linpack_c.sh">
          linpack_c.sh</a>, commands to compile the source codes;
        </li>
      </ul>
    </p>

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      Examples and Tests:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "linpack_c_prb.f90">
          linpack_c_prb.f90</a>, the calling program;
        </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>

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      List of Routines:
    </h3>

    <p>
      <ul>
        <li>
          <b>C4_SWAP</b> swaps two C4's.
        </li>
        <li>
          <b>C4_SWAP_CONJUGATE</b> swaps and conjugates two C4's.
        </li>
        <li>
          <b>CCHDC</b> computes the Cholesky decomposition of a 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> computes the determinant, inertia and inverse
        </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 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 hermitian positive definite matrix
        </li>
        <li>
          <b>CPPDI:</b> determinant and 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 positive definite tridiagonal linear system.
        </li>
        <li>
          <b>CQRDC</b> computes the QR factorization of an N by P complex matrix.
        </li>
        <li>
          <b>CQRSL</b> applies the output of cqrdc to compute coordinate
        </li>
        <li>
          <b>CSICO</b> factors a complex symmetric matrix by elimination with
        </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 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> is a subroutine to reduce a complex nxp matrix x by
        </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>
      </ul>
    </p>

    <p>
      You can go up one level to <a href = "../f_src.html">
      the FORTRAN90 source codes</a>.
    </p>

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    <i>
      Last revised on 23 June 2009.
    </i>

    <!-- John Burkardt -->

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