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EISPACK
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'''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 [[matrix (Mathematics)|matrices]]: complex general, complex [[Hermitian matrix|Hermitian]], real general, real symmetric, real symmetric [[band matrix|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 1972β1973,<ref>{{cite journal | last1 = Garbow | first1 = Burton S. | year = 1974 | title = EISPACK β A package of matrix eigensystem routines | doi = 10.1016/0010-4655(74)90086-1 | journal = Computer Physics Communications | volume = 7 | issue = 4 | pages = 179β184 | bibcode = 1974CoPhC...7..179G }}</ref> EISPACK, like [[LINPACK]] and [[MINPACK]], originated from [[Argonne National Laboratory]], has always been free, and aims to be [[Software portability|portable]], robust and reliable. The library drew heavily on algorithms developed by [[James H. Wilkinson|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joined the team as an undergraduate intern at Argonne, and later went on to create [[LAPACK]], which has largely superseded EISPACK and LINPACK.
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