LINPACKS: Linear Algebra Library

LINPACKS is the single precision version of the LINPACK linear algebra library. LINPACK was developed by Dongarra, Moler, Bunch and Stewart.

LINPACK has officially been superseded by the LAPACK library. However, one drawback to the LAPACK library is its extraordinary complexity; a single subroutine may require 10 or 20 utility routines and the effort to achieve efficiency can make the code difficult to follow.

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

Files you may copy include:

• linpacks.f90, the source code;
• linpacks_prb.f90, the calling program;
• linpacks_prb.out, the sample output.

The list of routines includes:

• ISAMAX finds the index of the vector element of maximum absolute value.
• R_SWAP swaps two real values.
• SAMAX returns the maximum absolute value of the entries in a vector.
• SASUM sums the absolute values of the entries of a vector.
• SAXPY adds a constant times one vector to another.
• SCHDC computes the Cholesky decomposition of a positive definite matrix.
• SCHDD downdates an augmented Cholesky decomposition.
• SCHEX updates the Cholesky factorization of a positive definite matrix.
• SCHUD updates an augmented Cholesky decomposition.
• SCOPY copies one real vector into another.
• SDOT forms the dot product of two vectors.
• SGBCO factors a real band matrix and estimates its condition.
• SGBDI computes the determinant of a band matrix factored by SGBCO or SGBFA.
• SGBFA factors a real band matrix by elimination.
• SGBSL solves a real banded system factored by SGBCO or SGBFA.
• SGECO factors a real matrix and estimates its condition number.
• SGEDI computes the determinant and inverse of a matrix factored by SGECO or SGEFA.
• SGEFA factors a real matrix.
• SGESL solves a real general linear system A * X = B.
• SGTSL solves a general tridiagonal linear system.
• SNRM2 computes the Euclidean norm of a vector.
• SPBCO factors a real symmetric positive definite banded matrix.
• SPBDI computes the determinant of a matrix factored by SPBCO or SPBFA.
• SPBFA factors a real symmetric positive definite matrix stored in band form.
• SPBSL solves a real symmetric positive definite band factored by SPBCO or SPBFA.
• SPOCO factors a real symmetric positive definite matrix and estimates its condition.
• SPODI computes the determinant and inverse of a certain matrix.
• SPOFA factors a real symmetric positive definite matrix.
• SPOSL solves a linear system factored by SPOCO or SPOFA.
• SPPCO factors a real symmetric positive definite matrix in packed form.
• SPPDI computes the determinant and inverse of a matrix factored by SPPCO or SPPFA.
• SPPFA factors a real symmetric positive definite matrix in packed form.
• SPPSL solves a real symmetric positive definite system factored by SPPCO or SPPFA.
• SPTSL solves a positive definite tridiagonal linear system.
• SQRDC computes the QR factorization of a real rectangular matrix.
• SQRSL computes transformations, projections, and least squares solutions.
• SROT applies a plane rotation.
• SROTG constructs a Givens plane rotation.
• SSCAL scales a vector by a constant.
• SSICO factors a real symmetric matrix and estimates its condition.
• SSIDI computes the determinant, inertia and inverse of a real symmetric matrix.
• SSIFA factors a real symmetric matrix.
• SSISL solves a real symmetric system factored by SSIFA.
• SSPCO factors a real symmetric matrix stored in packed form.
• SSPDI computes the determinant, inertia and inverse of a real symmetric matrix.
• SSPFA factors a real symmetric matrix stored in packed form.
• SSPSL solves the real symmetric system factored by SSPFA.
• SSVDC computes the singular value decomposition of a real rectangular matrix.
• SSWAP interchanges two vectors.
• STRCO estimates the condition of a real triangular matrix.
• STRDI computes the determinant and inverse of a real triangular matrix.
• STRSL solves triangular linear systems.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

Back to the FORTRAN software page.