Approximating the Singular Value Expansion of a Compact Operator

DOI10.1137/18M1226002MaRDI QIDQ5110545

Matthew Jake Roberts, Mark S. Gockenbach, Daniel K. Crane

Publication date: 20 May 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergenceGalerkin discretizationsingular value expansion

Mathematics Subject Classification ID

Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

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• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Computation of the singular value expansion
• Classes of linear operators. Vol. I
• Finite element approximation of eigenvalue problems
• Eigenvalues of Analytic Kernels
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• On the Early History of the Singular Value Decomposition
• Continuous analogues of matrix factorizations
• Approximating the Generalized Singular Value Expansion
• The Eigen-Values and Singular Values of Integral Equations^†
• On the characteristic values of linear integral equations

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