scientific article

zbMath1367.65085MaRDI QIDQ2828460

Mark S. Gockenbach

Publication date: 26 October 2016

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Sobolev spaceinverse problemregularizationsingular value decompositionHilbert spacenumerical experimentstextbookcompact operatorgeneralized inverseTikhonov regularizationdiscrepancy principleregularization methodill-posed problemlinear operator equationsaturationMoore-Penrose generalized inverseintegral equation of the first kindsource conditionminimum norm solutionsleast squares solutionsmethod of asymptotic regularizationL-curve criterionsingular value expansionseminorm regularizationconverse resultfractional power of operatortruncated singular value expansionX-ray transmission tomography

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Biomedical imaging and signal processing (92C55) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for integral equations (65R32) Linear operators and ill-posed problems, regularization (47A52) Linear integral equations (45A05) Numerical solution to inverse problems in abstract spaces (65J22) Numerical solution of inverse problems involving ordinary differential equations (65L09) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

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A least-squares Monte Carlo approach to the estimation of enterprise risk ⋮ On the Convergence of a Heuristic Parameter Choice Rule for Tikhonov Regularization ⋮ An operator theoretical approach of some inverse problems ⋮ Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem ⋮ Approximating the Generalized Singular Value Expansion ⋮ Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework ⋮ Joint inversion of compact operators ⋮ Generalizing the GSVD

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