Some matrix nearness problems suggested by Tikhonov regularization

DOI10.1016/j.laa.2015.04.008zbMath1338.65109arXiv1602.03307OpenAlexW2061979746MaRDI QIDQ281987

Silvia Noschese, Lothar Reichel

Publication date: 11 May 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03307

zbMATH Keywords

Tikhonov regularizationill-posed problemtruncated singular value decompositionmodified Tikhonov regularization

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Fractional Tikhonov regularization with a nonlinear penalty term ⋮ Application of fractional derivatives for obtaining new Tikhonov regularization matrices ⋮ Current distribution reconstruction in switching arcs by means of regularization based on GSVD ⋮ Extension of Tikhonov regularization method using linear fractional programming ⋮ A new iterative method for a class of linear system arising from image restoration problems

Uses Software

• Regularization tools
• ErresTools

Cites Work

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• Discrete Inverse Problems
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