The nonlinear programming (NLP) problem with one objective function f and m constraint functions c i, which are continuously differentiable, is defined as follows: In the preceding notation, n is the ...

Studies linear and nonlinear programming, the simplex method, duality, sensitivity, transportation and network flow problems, some constrained and unconstrained optimization theory, and the ...

In this paper we study necessary optimality conditions for the problem of minimizing a polynomial function over a set defined by polynomial inequalities. Assume that the problem is bounded below and ...