Approximate systems of linear algebraic equations

DOI10.1016/0041-5553(80)90003-8zbMath0492.65014OpenAlexW2019787055MaRDI QIDQ3954730

A. N. Tikhonov

Publication date: 1980

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(80)90003-8

zbMATH Keywords

approximate systemsstable methodsequivalent in accuracy

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (6)

Flatness and defect of non-linear systems: introductory theory and examples ⋮ Generalizations of Tikhonov's regularized method of least squares to non-Euclidean vector norms ⋮ Minimum-Euclidean-norm matrix correction for a pair of dual linear programming problems ⋮ Analysis of emitter-coupled multivibrators by singularly perturbed systems ⋮ Regularization and Matrix Correction of Improper Linear Programming Problems ⋮ TIME DISCRETIZATION APPROACH TO DYNAMIC LOCALIZATION CONDITIONS

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