A New Method of Solving the Problem of Linear Programming

摘要

Proposed is a new method of solving linear programming problems, based on the use of one of R-operations, introduced by V. L. Rvachov (On Analytical Description Of Certain Geometric Images). The assumption about the nonlinearity of inequalities is used essentially only for the purpose of simplifying the calculations. In this way, the method can be applied also to solving other problems of mathematical (nonlinear) programming. (Author)