On the Compatibility of a Given Solution With the Data of a Linear System

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On the Compatibility of a Given Solution With the Data of a Linear System

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Journal of the ACM (JACM) archive
Volume 14 , Issue 3 (July 1967) table of contents

Pages: 543 - 548

Year of Publication: 1967

ISSN:0004-5411

Authors

J. L. Rigal	Laboratoire de Calcul Numérique, Faculté des Sciences de Besançon, Besançon, France
J. Gaches	Laboratoire de Calcul Numérique, Faculté des Sciences de Besançon, Besançon, France

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 36, Citation Count: 2

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ABSTRACT

Some new theorems generalizing a result of Oettli and Prager are applied to the a posteriori analysis of the compatibility of a computed solution to the uncertain data of a linear system (or of a polynomial equation).

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	HOUSHIOLDER, A.S. .The Theory of Matrices in Numerical Analysis. Blaisdell Publishln Co., New York, 1964.
	2	OETTLI, W., AND PRAGER, W. Compatibility of approximate solution of linear equation with given error bounds for coefficients and right-hand sides. Numer. Math. 6 (1964), 405 409.
	3	ROBERT, F. Normes vectorielles de vecteurs et de matrices. Rev. Franc. de Traitement d l'Inform.: ChIffes 7 (1964), 261-299.
	4	VINH, NGUYEN HUU. Semi-norme duale gEnEralisee et approximation d'un vecteur. Comp Rend. Aead. Sei. {A and B}, 262 (June 27, 1966), 1456-1459.

CITED BY 2

	J. C. Miellou , P. Spiteri , D. El Baz, A new stopping criterion for linear perturbed asynchronous iterations, Journal of Computational and Applied Mathematics, v.219 n.2, p.471-483, October, 2008
	James Demmel , Yozo Hida , E. Jason Riedy , Xiaoye S. Li, Extra-Precise Iterative Refinement for Overdetermined Least Squares Problems, ACM Transactions on Mathematical Software (TOMS), v.35 n.4, p.1-32, February 2009