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

M.E. Hochstenbach; L. Reichel

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

M.E. Hochstenbach, L. Reichel

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Abstract

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 modification of the singular value decomposition that permits a specified linear subspace to be contained in the solution subspace for all truncations. Modifications that allow the range to contain a specified subspace, or that allow both the solution subspace and the range to contain specified subspaces also are described.

Original language	English
Place of Publication	Eindhoven
Publisher	Technische Universiteit Eindhoven
Number of pages	16
Publication status	Published - 2010

Publication series

Name	CASA-report
Volume	1028
ISSN (Print)	0926-4507

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abstract = "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 modification of the singular value decomposition that permits a specified linear subspace to be contained in the solution subspace for all truncations. Modifications that allow the range to contain a specified subspace, or that allow both the solution subspace and the range to contain specified subspaces also are described.",

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M3 - Report

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

PB - Technische Universiteit Eindhoven

CY - Eindhoven

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

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