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A Note on the Stability of Gaussian Elimination

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Publication:5637812
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DOI10.1093/imamat/8.3.374zbMath0229.65030OpenAlexW2123400265MaRDI QIDQ5637812

John K. Reid

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1093/imamat/8.3.374


Mathematics Subject Classification ID

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


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Backward stability of a pivoting strategy for sign-regular linear systems, Computational methods of linear algebra, A direct method for the solution of sparse linear least squares problems, Factorizing symmetric indefinite matrices, A note on partial pivoting and Gaussian elimination, Monitoring the stability of the triangular factorization of a sparse matrix, A Stable Method for the $LU$ Factorization of M-Matrices, Backward error analysis for linear systems associated with inverses of H- matrices, Maintaining LU factors of a general sparse matrix, Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic, A sparsity-exploiting variant of the Bartels—Golub decomposition for linear programming bases



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