Monitoring the numerical stability of Gaussian elimination-Reference-Cited by-同舟云学术

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Monitoring the numerical stability of Gaussian elimination

Published:1971-01 Issue:4 Volume:16 Page:360-361
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Businger P. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02165006.pdf

Reference4 articles.

1. Forsythe, G. E., Moler, C. B.: Computer solution of linear algebraic systems. Prentice Hall 1967 Section 21.

2. Kahan, W.: Numerical linear algebra. Canad. Math. Bulletin9, 757–801 (1966). Section 4.

3. Wilkinson, J. H.: Rounding errors in algebraic processes. Prentice Hall 1963 Chapter 3, Section 16.

4. Businger, P. A.: MIDAS—solution of linear algebraic equations. Numerical Mathematics Program Library Project, Bell Telephone Laboratories, Inc., Murray Hill, New Jersey.

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1. Simultaneous backward stability of Gauss and Gauss-Jordan elimination;Numerical Linear Algebra with Applications;2002-10-30

2. The growth factor and efficiency of Gaussian elimination with rook pivoting;Journal of Computational and Applied Mathematics;1997-11

3. Stability of the Gauss-Huard algorithm with partial pivoting;Computing;1997-09

4. G;Encyclopaedia of Mathematics;1995

5. Parallel algorithms for solving large linear systems;Journal of Computational and Applied Mathematics;1994-05

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