Subspace-restricted singular value decompositions for linear discrete ill-posed problems

The truncated singular value decomposition is a popular solution method for linear discrete ill-posed problems. These problems are numerically underdetermined. Therefore, it can be beneficial to incorporate information about the desired solution into the solution process. This paper describes a modi...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 235; no. 4; pp. 1053 - 1064
Main Authors:	Hochstenbach, Michiel E., Reichel, Lothar
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Kidlington Elsevier B.V 15.12.2010 Elsevier
Subjects:	Computation Decomposition Exact sciences and technology Ill posed problems Ill-posed problem Inverse problem Mathematical analysis Mathematical models Mathematics Modified SVD Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical linear algebra Sciences and techniques of general use SRSVD Subspaces Tikhonov regularization TSVD 65R32 Modified SVD 65R30 65F10 Ill-posed problem TSVD SRSVD Tikhonov regularization Inverse problem Numerical linear algebra Truncation Regularization method Numerical analysis Applied mathematics Ill posed problem III-posed problem Singular value decomposition
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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