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

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

The problem of correction of matrices (extended matrices) of inconsistent systems of linear algebraic equations with block structure and with the cost function of minimax type is considered. These problems are reduced to a constrained optimization problem, which, in turn, is reduced to a series of l...

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Veröffentlicht in:Journal of computer & systems sciences international 2006-10, Vol.45 (5), p.727-737
Hauptverfasser: Gorelik, V. A., Erokhin, V. I., Pechenkin, R. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Linear programming
Studies
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Zusammenfassung:The problem of correction of matrices (extended matrices) of inconsistent systems of linear algebraic equations with block structure and with the cost function of minimax type is considered. These problems are reduced to a constrained optimization problem, which, in turn, is reduced to a series of linear programming problems. All problems of matrix correction are illustrated by numerical examples.[PUBLICATION ABSTRACT]
ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230706050066