Parallel algorithms for solving linear equations using givens transformations

DOI10.1016/0898-1221(86)90023-4zbMath0638.65020OpenAlexW2296098389MaRDI QIDQ3779651

Peter Piela, Martin Head-Gordon

Publication date: 1986

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90023-4

zbMATH Keywords

algorithmQR decompositionparallel computersGivens transformationsreduction to upper triangular form

Mathematics Subject Classification ID

Factorization of matrices (15A23) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25)

Cites Work

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• On Stable Parallel Linear System Solvers
• A Survey of Parallel Algorithms in Numerical Linear Algebra
• The Parallel Evaluation of General Arithmetic Expressions
• Least Squares Computations by Givens Transformations Without Square Roots

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