FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 3, PAGES 937-945

Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data

A. Yu. Ivanitskii
V. A. Morozov
V. N. Karmazin

Abstract

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This paper considers the variant of point-wise discrepancy, which allows to compute the pseudosolution and incompability measure of systems of linear equations and inequalities in a stable way. It is shown, that approximation of pseudosolution for systems of linear equations and inequalities by approximate pseudosolutions, obtained by point-wise discrepancy method, gives the same order of accuracy as the error in the input data.

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Last modified: December 15, 1998