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EISPACK

EISPACK is a software library for numerical computation of eigenvalues and eigenvectors of matrices, written in FORTRAN. It contains subroutines for calculating the eigenvalues of nine classes of matrices: complex genera

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1341621498 · 2026-03-04T03:55:51Z
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symmetric4 uses in this article generalized2 uses in this article tridiagonal2 uses in this article Originally2 uses in this article complex2 uses in this article general2 uses in this article library2 uses in this article written2 uses in this article which2 uses in this article decomposition1 uses in this article undergraduate1 uses in this article mathematical1 uses in this article calculating1 uses in this article computation1 uses in this article open-source1 uses in this article developing1 uses in this article Laboratory1 uses in this article developed1 uses in this article Hermitian1 uses in this article initially1 uses in this article

Overview

EISPACK is a software library for numerical computation of eigenvalues and eigenvectors of matrices, written in FORTRAN. It contains subroutines for calculating the eigenvalues of nine classes of matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matrices. In addition, it includes subroutines to perform a singular value decomposition. Originally written around 1972–1973, EISPACK, like LINPACK and MINPACK, originated from Argonne National Laboratory, has always been free, and aims to be portable, robust and reliable. The library drew heavily on algorithms developed by James Wilkinson, which were originally implemented in ALGOL. Brian Smith led a team at Argonne developing EISPACK, initially by translating these algorithms into FORTRAN.

Jack Dongarra joined the team as an undergraduate intern at Argonne, and later went on to create LAPACK, which has largely superseded EISPACK and LINPACK.

See also

* List of open-source mathematical libraries

External links

*Netlib download site for EISPACK *Interview with Jack Dongarra about EISPACK.

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