Generalizations of Tikhonov's regularized method of least squares to non-Euclidean vector norms

DOI10.1134/S0965542517090147zbMath1382.65116OpenAlexW2758996165MaRDI QIDQ1687797

V. V. Volkov, V. I. Erokhin, A. Yu. Onufrei, V. V. Kakaev

Publication date: 4 January 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542517090147

zbMATH Keywords

approximate system of linear algebraic equationsnon-Euclidean vector normsTikhonov's regularized method of least squares

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items (1)

Minimum-Euclidean-norm matrix correction for a pair of dual linear programming problems

Cites Work

• Minimax matrix correction of inconsistent systems of linear algebraic equations with block matrices of coefficients
• Tikhonov solutions of approximately given systems of linear algebraic equations under finite perturbations of their matrices
• Matrix Analysis
• Approximate systems of linear algebraic equations
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