A note on numerical singular values of compositions with non-compact operators

DOI10.1553/etna_vol57s57zbMath1493.65103arXiv2201.13185OpenAlexW4285262286MaRDI QIDQ2153956

Daniel Gerth

Publication date: 13 July 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.13185

zbMATH Keywords

compact operatorsingular valuesill-posednessnon-compact operator

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• A new result in the singular value asymptotics of integration operators with weights
• The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator
• Recovering a function from a finite number of moments
• Some results and a conjecture on the degree of ill-posedness for integration operators with weights
• Bounds on the Singular Values of Matrices with Displacement Structure
• Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems
• On the Spectrum of Hilbert's Matrix

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