On the reduction of Tikhonov minimization problems and the construction of regularization matrices
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Publication:715132
DOI10.1007/s11075-012-9600-zzbMath1254.65049OpenAlexW2003211941MaRDI QIDQ715132
Publication date: 1 November 2012
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9600-z
numerical examplessingular value decompositionTikhonov regularizationill-posed problemregularization matrixpenalized least-squares problem
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22)
Related Items (7)
A Tikhonov regularized penalty function approach for solving polylinear programming problems ⋮ Krylov methods for inverse problems: Surveying classical, and introducing new, algorithmic approaches ⋮ Tikhonov regularization via flexible Arnoldi reduction ⋮ Simplified GSVD computations for the solution of linear discrete ill-posed problems ⋮ Square smoothing regularization matrices with accurate boundary conditions ⋮ Rescaling the GSVD with application to ill-posed problems ⋮ Dynamic force identification problem based on a novel improved Tikhonov regularization method
Uses Software
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