scientific article; zbMATH DE number 921075
zbMATH Open0855.65060MaRDI QIDQ4891065
Publication date: 27 August 1996
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error estimatesRadon transformsingular value decompositioninverse problemstextbookparameter identificationHilbert spacesconjugate gradient methodnumerical differentiationcomputerized tomographycompact operatorTikhonov regularizationgeneralized inversesMoore-Penrose inverseLandweber iterationregularization methodsinverse heat conductionexercisesinverse scatteringinverse eigenvalue problemsleast-squares solutionill posed problemsregularization by discretizationbackwards heat equationlinear and nonlinear inverse problemsfirst-kind integral equationindustrial examples
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Biomedical imaging and signal processing (92C55) Heat equation (35K05) Inverse problems for PDEs (35R30) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30) Numerical differentiation (65D25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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