A factorization of least-squares projection schemes for ill-posed problems

DOI10.1515/cmam-2019-0173OpenAlexW3024562068MaRDI QIDQ2215551

Nailin Du, Shukai Du

Publication date: 13 December 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2019-0173

zbMATH Keywords

ill-posed problemsgeneralized inversesleast-squares projection method

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operator approximation theory (47A58) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• The Basic Principles for Stable Approximations to Orthogonal Generalized Inverses of Linear Operators in Hilbert Spaces
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• An Improved Version of Marti's Method for Solving Ill-Posed Linear Integral Equations
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• Arbitrary divergence speed of the least-squares method in infinite-dimensional inverse ill-posed problems
• An introduction to the mathematical theory of inverse problems
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