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

Basing on ideas, proposed in [1], 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.