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This section describes, subroutine by subroutine, the major differences between the EISPACK subroutines and their Algol antecedents in the Handbook [1]. These differences fall into four categories: 1) correction of several errors, 2) minor algorithmic improvements, 3) changes based on consideration of Fortran language efficiency, and finally, 4) changes to better unify the individual programs into...
In this section we display approximate execution times of various paths in EISPACK measured with sample matrices on several IBM 360–370 series computers and on a CDC 6400 computer. The elements of the sample matrices are random numbers sampled from uniform distributions. Tables of execution times appear in the first subsection, and considerations regarding the reliability of the timing measurements,...
This section is designed to provide, in readily accessible form, the basic information you need to correctly use subroutines from EISPACK to solve an eigenprob lern. The way in which this information is presented is influenced by the design of the eigensystem package; hence we will first consider briefly the global structure of EISPACK.
As part of its original development, EISPACK was subjected to thorough testing designed to exercise every statement in each subroutine and path in the package. Before a version of EISPACK is declared certified, however, it must also be validated at one or more test sites not involved in the adaptation. This validation has two important goals. One is to insure that the adaptation has been carried out...
The package of Fortran IV programs given the acronym EISPACK is a systematized collection of subroutines which compute the eigenvalues and/or eigenvectors of six classes of matrices; namely, complex general, complex Hermitian, real general, real symmetric, real symmetric tridiagonal, and special real tridiagonal matrices. The subroutines are based mainly upon Algol procedures published in the Handbook...
EISPACK is the result of the confluence of two efforts: the development of quality mathematical software for the subroutine library at Argonne National Laboratory and the work of the NATS* project which studied the process whereby mathematical software is systematized, certified and disseminated ([3],[4],[5]).
This section contains the documentation and source listings for the EISPACK subroutines and the documentation for the control program EISPAC. The subroutines appear in alphabetical order in Section 7.1 with the source listing for each subroutine following its document. Section 7.2 contains the document for EISPAC, but because of its size and machine dependencies the listing is not included.
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