Stability of the Gauss-Huard algorithm with partial pivoting

DOI10.1007/BF02684391zbMath0881.65019OpenAlexW1483207321MaRDI QIDQ1362360

T. J. Dekker, Walter Hoffmann, Kitty Potma

Publication date: 13 January 1998

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684391

zbMATH Keywords

stabilitynumerical experimentsGaussian eliminationparallel algorithmsLU factorizationGauss-Jordan eliminationpivoting strategiesGauss-Huard elimination

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (3)

Clustered Gauss-Huard algorithm for the solution of \(Ax = b\) ⋮ An homage to Joseph-Louis Lagrange and Pierre Huard ⋮ The Gauss-Huard algorithm and LU factorization

Cites Work

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• Solving linear systems on a vector computer
• A new presentation of the conjugate direction algorithm
• Rehabilitation of the Gauss-Jordan algorithm
• Parallel algorithms for solving large linear systems
• Monitoring the numerical stability of Gaussian elimination
• Average-Case Stability of Gaussian Elimination
• Error Analysis of Direct Methods of Matrix Inversion
• On the stability of Gauss-Jordan elimination with pivoting

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