Linear Algebra Library
Double Precision Real

LINPACK_D 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.

LINPACK has officially been superseded by the LAPACK library.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 LINPACK 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 LINPACK around.

Versions of LINPACK in various arithmetic precisions are available through the NETLIB web site.


The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.


LINPACK_D is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

BLAS1_D, a C++ library which contains basic linear algebra routines for vector-vector operations, using double precision real arithmetic.

CONDITION, a C++ library which implements methods of computing or estimating the condition number of a matrix.

LAPACK_EXAMPLES, a FORTRAN77 program which demonstrates the use of the LAPACK linear algebra library.

LINPACK_BENCH, a C++ program which measures the time taken by LINPACK to solve a particular linear system.

LINPACK_C, a C++ library which solves linear systems using single precision complex arithmetic;

LINPACK_S, a C++ library which solves linear systems using single precision real arithmetic;

LINPACK_Z, a C++ library which solves linear systems using double precision complex arithmetic;

QR_SOLVE, a C++ library which computes the least squares solution of a linear system A*x=b.

TEST_MAT, a C++ library which defines test matrices.

TOEPLITZ_CHOLESKY, a C++ library which computes the Cholesky factorization of a nonnegative definite symmetric Toeplitz matrix.


Original FORTRAN77 version by Jack Dongarra, Cleve Moler, Jim Bunch, Pete Stewart. C++ version by John Burkardt.


  1. Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
    LINPACK User's Guide,
    SIAM, 1979,
    ISBN13: 978-0-898711-72-1,
    LC: QA214.L56.
  2. Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,
    Algorithm 539, Basic Linear Algebra Subprograms for Fortran Usage,
    ACM Transactions on Mathematical Software,
    Volume 5, Number 3, September 1979, pages 308-323.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the C++ source codes.

Last revised on 23 June 2009.