Methods of Optimization

Decomposition method in the problems of minimax correction of inconsistent equation systems with block structure matrices

V. A. Gorelik^a, N. L. Duy<sup>b

a</sup> Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
^b Moscow State Pedagogical University

Abstract: Problems of the minimal correction (approximation) of inconsistent systems of the linear algebraic equations with matrixes of block structure by minimax criterion as in case of a variation of parameters only the left part of system, and both parts of system of the equations are considered. The approach of decomposition for the decision of considered problems is offered.

Keywords: inconsistent system of the linear algebraic equations, matrix correction, matrix with block structure, minimax criterion, a method of decomposition.

UDC: 519.61

Received: 01.11.2011
Revised: 11.11.2011

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