Performance of various computers using standard linear equations software in a Fortran environment
ACM SIGARCH Computer Architecture NewsPublished 1 March 1985Open access
Jack Dongarra
Citations69
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Abstract
This note compares the performance of different computer systems while solving dense systems of linear equations using the LINPACK software in a Fortran environment. About 100 computers, ranging from a CRAY X-MP to the 68000 based systems such as the Apollo and SUN Workstations to IBM PC's, are compared.
Keywords
Computer Science
Society for Industrial and Applied Mathematics eBooksLINPACK Users' Guide
1,726 Citations1979Jack Dongarra, C Moler +2 more
General matrices Band matrices positive definite matrices Positive definite band matrices Symmetric Indefinite Matrices Triangular matrices Tridiagonal matrices The Cholesky decomposition The QR decomposition up to and including the singular value decomposition is studied.
ACM Transactions on Mathematical SoftwareBasic Linear Algebra Subprograms for Fortran Usage
1,633 Citations1979C. L. Lawson, Richard Hanson +2 more
A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented, intended to be used with FORTRAN.
ACM Transactions on Mathematical SoftwareSqueezing the most out of an algorithm in CRAY FORTRAN
156 Citations1984Jack Dongarra, Stanley C. Eisenstat
This paper discusses a technique for achieving supervector performance on a Cray in a purely Fortran environment (i.e., without resorting to assembly language) that can be applied to a wide variety of algorithms in linear algebra.