Numerically safe Gaussian elimination with no pivoting

Gaussian elimination with no pivoting and block Gaussian elimination are attractive alternatives to the customary but communication intensive Gaussian elimination with partial pivoting1provided that the computations proceed safely and numerically safely, that is, run into neither division by 0 nor n...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 527; pp. 349 - 383
Main Authors:	Pan, Victor Y., Zhao, Liang
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.08.2017 American Elsevier Company, Inc
Subjects:	Block Gaussian elimination Conditioning Dividing (mathematics) Gaussian elimination Linear algebra Linear systems of equations Mathematics Matrix Multipliers Normal distribution Pivoting Preconditioning Random matrix algorithms 15A52 15A12 Gaussian elimination 15A06 Block Gaussian elimination Linear systems of equations Pivoting Random matrix algorithms 65F35 Preconditioning 65F05
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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