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<html>

  <head>
    <title>
      LAPACK_EXAMPLES - Example Programs for LAPACK
    </title>
  </head>

  <body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">

    <h1 align = "center">
      LAPACK_EXAMPLES <br> Example Programs for LAPACK
    </h1>

    <hr>

    <p>
      <b>LAPACK_EXAMPLES</b>
      is a FORTRAN77 program which
      makes example calls to the LAPACK library, which
      can solve linear systems and compute eigevalues.
    </p>

    <p>
      Many vendors supply a compiled copy of LAPACK, optimized for
      their hardware, and easily available as a library.
      <ul>
        <li>
          On Apple systems running OSX, a compiled copy of LAPACK is available
          by adding the clause "-framework vecLib" to your link/load statement:
          <pre>
            gfortran myprog.f90 -framework vecLib
          </pre>
         </li>
      </ul>
    </p>

    <p>
      <b>LAPACK</b> includes routines to
      <ul>
        <li>
          Solve a linear system;
        </li>
        <li>
          Solve an under- or over-determined linear system;
        </li>
        <li>
          Compute the determinant;
        </li>
        <li>
          Compute the inverse matrix;
        </li>
        <li>
          Compute the condition number;
        </li>
        <li>
          Compute the singular value decomposition;
        </li>
        <li>
          Compute the QR decomposition;
        </li>
        <li>
          Compute the eigenvalues and eigenvectors of a matrix;
        </li>
      </ul>
    </p>

    <p>
      The source code and documentation for LAPACK is available
      through <a href = "http://www.netlib.org/">the NETLIB web site</a>.
    </p>

    <h3 align = "center">
      Languages:
    </h3>

    <p>
      <b>LAPACK_EXAMPLES</b> is available in
      <a href = "../../f77_src/lapack_examples/lapack_examples.html">a FORTRAN77 version</a> and
      <a href = "../../f_src/lapack_examples/lapack_examples.html">a FORTRAN90 version</a>.
    </p>

    <h3 align = "center">
      Related Data and Programs:
    </h3>

    <p>
      <a href = "../../f77_src/blas1/blas1.html">
      BLAS1</a>,
      a FORTRAN77 library which
      carries out vector-vector routines needed by LAPACK.
    </p>

    <p>
      <a href = "../../f77_src/blas2/blas2.html">
      BLAS2</a>,
      a FORTRAN77 library which
      carries out matrix-vector routines needed by LAPACK.
    </p>

    <p>
      <a href = "../../f77_src/blas3/blas3.html">
      BLAS3</a>,
      a FORTRAN77 library which
      carries out matrix-matrix routines needed by LAPACK.
    </p>

    <p>
      <a href = "../../f77_src/eispack/eispack.html">
      EISPACK</a>,
      a FORTRAN77 library which
      is an earlier standard package of eigenvalue routines.
    </p>

    <p>
      <a href = "../../f77_src/linpack/linpack.html">
      LINPACK</a>,
      a FORTRAN77 library which
      is an earlier standard package of linear system solvers.
    </p>

    <p>
      <a href = "../../f77_src/linplus/linplus.html">
      LINPLUS</a>,
      a FORTRAN77 library which
      contains simple linear solvers for a variety of matrix
      formats.
    </p>

    <p>
      <a href = "../../f77_src/svd_demo/svd_demo.html">
      SVD_DEMO</a>,
      a FORTRAN77 program which
      demonstrates the Singular Value Decomposition (SVD) for a simple example.
    </p>

    <p>
      <a href = "../../f77_src/test_eigen/test_eigen.html">
      TEST_EIGEN</a>,
      a FORTRAN77 library which
      defines various eigenvalue test cases.
    </p>

    <p>
      <a href = "../../f77_src/test_mat/test_mat.html">
      TEST_MAT</a>,
      a FORTRAN77 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>
          Edward Anderson, Zhaojun Bai, Christian Bischof, Susan Blackford,
          James Demmel, Jack Dongarra, Jeremy DuCroz, Anne Greenbaum,
          Sven Hammarling, Alan McKenney, Danny Sorensen,<br>
          LAPACK User's Guide,<br>
          Third Edition,<br>
          SIAM, 1999,<br>
          ISBN: 0898714478,<br>
          LC: QA76.73.F25L36
        </li>
      </ol>
    </p>

    <h3 align = "center">
      Examples and Tests:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "lapack_prb.f">lapack_prb.f</a>
          is a sample calling program.
        </li>
        <li>
          <a href = "lapack_prb.sh">lapack_prb.sh</a>
          is a shell script that compiles and runs the sample program.
        </li>
        <li>
          <a href = "lapack_prb_output.txt">lapack_prb_output.txt</a>
          contains the output from a run of the sample program.
        </li>
      </ul>
    </p>

    <p>
      You can go up one level to <a href = "../f77_src.html">
      the FORTRAN77 source codes</a>.
    </p>

    <hr>

    <i>
      Last revised on 19 March 2012.
    </i>

    <!-- John Burkardt -->

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