Geodesic
Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 3, pp. 937-945

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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. 
@article{FPM_1998_4_3_a6,
     author = {A. Yu. Ivanitskii and V. A. Morozov and V. N. Karmazin},
     title = {Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {937--945},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a6/}
}
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A. Yu. Ivanitskii; V. A. Morozov; V. N. Karmazin. Point-wise discrepancy method for solution of inconsistency systems of equations and inequalities with approximate data. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 3, pp. 937-945. http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a6/