Solving linear systems on a vector computer

DOI10.1016/0377-0427(87)90008-2zbMath0625.65020OpenAlexW2043983419MaRDI QIDQ579836

Walter Hoffmann

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90008-2

zbMATH Keywords

Gaussian eliminationLU-decompositionpivoting strategyvector computerComparative experimentsGauss-Jordan algorithm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Parallel algorithms for solving large linear systems, Stability of the Gauss-Huard algorithm with partial pivoting, Rehabilitation of the Gauss-Jordan algorithm, Clustered Gauss-Huard algorithm for the solution of \(Ax = b\), Solving large dense systems of linear equations on systems with virtual memory and with cache, Implementing stochastic control software on supercomputing machines

Uses Software

• LINPACK
• NUMAL
• ALGOL 60
• NUMVEC

Cites Work

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• Monitoring the numerical stability of Gaussian elimination
• Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine