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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Vydáno v:	SIAM journal on numerical analysis Ročník 10; číslo 2; s. 257 - 267
Hlavní autor:	Varah, J. M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia Society for Industrial and Applied Mathematics 01.04.1973
Témata:	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
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