On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems

We consider the solution of ill-conditioned linear systems using the singular value decomposition, and show how this can improve the accuracy of the computed solution for certain kinds of right-hand sides. Then we indicate how this technique is especially appropriate for some classical ill-posed pro...

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Bibliographic Details

Published in:	SIAM journal on numerical analysis Vol. 10; no. 2; pp. 257 - 267
Main Author:	Varah, J. M.
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.04.1973
Subjects:	Computer science Decomposition Differential equations Eigenvalues Eigenvectors Error rates Ill posed problems Laplace transformation Laplace transforms Least squares Linear systems Mathematics Matrices
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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