Stability criteria for a general linear programming problem (Q5928740)

Necessary and sufficient conditions of stability of the general problem of linear programming under perturbed initial data are introduced. These criteria of stability generalize and develop the known results. The equivalence of the stable solvability of the problem, the stability with respect to a function, the stability with respect to an argument is proved. The criteria of stability considered in the paper allows to study the stability of the regularization methods of the general problem of linear programming.