Minimax matrix correction of inconsistent systems of linear algebraic equations with block matrices of coefficients

DOI10.1134/S1064230706050066zbMath1263.93056MaRDI QIDQ1951889

R. V. Pechenkin, V. A. Gorelik, V. I. Erokhin

Publication date: 24 May 2013

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear programming (90C05) Transformations (93B17) Basic linear algebra (15A99)

Related Items (8)

Solution of the linear regression problem using matrix correction methods in the \(l_1\) metric ⋮ 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 ⋮ Correction of inconsistent systems of linear inequalities with block matrices by minimax criterion ⋮ Matrix corrections minimal with respect to the Euclidean norm for linear programming problems ⋮ Determination of consistency and inconsistency radii for systems of linear equations and inequalities using the matrix \(l_1\) norm ⋮ Soft sets theory-based optimization ⋮ Studying the stability of solutions to systems of linear inequalities and constructing separating hyperplanes

Cites Work

• Regression and the Moore-Penrose pseudoinverse
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