The Exact Condition Number of the Truncated Singular Value Solution of a Linear Ill-Posed Problem

DOI10.1137/120869286zbMath1308.65059OpenAlexW2007248246MaRDI QIDQ2936588

Serge Gratton, Jean Tshimanga, El Houcine Bergou

Publication date: 17 December 2014

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://oatao.univ-toulouse.fr/22597/1/bergou_22597.pdf

zbMATH Keywords

perturbation theorycondition numberFréchet derivativetruncated singular value decompositionleast squares solution

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

On the partial condition numbers for the indefinite least squares problem ⋮ Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products ⋮ Partial condition number for the equality constrained linear least squares problem ⋮ Some results on the regularization of LSQR for large-scale discrete ill-posed problems ⋮ On a second-order expansion of the truncated singular subspace decomposition

Uses Software

• Regularization tools

This page was built for publication: The Exact Condition Number of the Truncated Singular Value Solution of a Linear Ill-Posed Problem