Minimax Matrix Correction of Inconsistent Systems of Linear Algebraic Equations with Block Matrices of Coefficients

摘要

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.