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Dongarra joined the team as an undergraduate intern at Argonne, and later went on to create LAPACK, which has largely superseded EISPACK and LINPACK.
- Brian Smith, James Boyle, Jack Dongarra, Burton Garbow, Y Ikebe, V Klema, Cleve Moler, Matrix Eigensystem Routines, EISPACK Guide, Lecture Notes in Computer Science, Volume 6, Springer Verlag, 1976. As of 2012, it has been cited more than 1200 times in the scholarly literature.
- Burton Garbow et al., Matrix eigensystem routines: EISPACK guide extension, Lecture Notes in Computer Science, Volume 51, Springer Verlag, 1977.