Метод расширенных нормальных уравнений для задач регуляризации Тихонова с дифференцирующим оператором

DOI10.14498/vsgtu1342zbMath1413.65123OpenAlexW2333079587MaRDI QIDQ4553495

A. I. Zhdanov, I. A. Mikhaylov

Publication date: 30 October 2018

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1342

zbMATH Keywords

condition numberspectrum of matrixextended regularized normal equations system

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Uses Software

• Regularization tools

Cites Work

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• Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications
• Comparing parameter choice methods for regularization of ill-posed problems
• An extrapolated TSVD method for linear discrete ill-posed problems with Kronecker structure
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems
• Regularization tools version \(4.0\) for matlab \(7.3\)
• The method of augmented regularized normal equations
• Computational Methods for Integral Equations
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

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