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A note on the stability of Gauss-Jordan elimination for diagonally dominant matrices

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Publication:1840766
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DOI10.1007/s006070070012zbMath0976.65027OpenAlexW2023980665MaRDI QIDQ1840766

Alexander N. Malyshev

Publication date: 8 January 2002

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070070012


zbMATH Keywords

stabilitybackward error analysisGauss-Jordan eliminationdiagonally dominant matrices


Mathematics Subject Classification ID

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


Related Items (6)

A stable test to check if a matrix is a nonsingular $M$-matrix ⋮ Sign regular matrices and Neville elimination ⋮ Simultaneous backward stability of Gauss and Gauss–Jordan elimination ⋮ Growth factor and expected growth factor of some pivoting strategies ⋮ A multi-GPU implementation of a full-field crystal plasticity solver for efficient modeling of high-resolution microstructures ⋮ Performance and stability of direct methods for computing generalized inverses of the graph Laplacian


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  • mctoolbox



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