Précis—Sufficiency Conditions for Constrained Optima

Global Optima for Linearly Constrained Business Decision Models

It is well-known that many business administration decision problems can be formulated as optimization problems. There are well over four hundred algo rithms to solve such problems. However, these algorithms are custom-made for each specific type of problem. This has lead to classification of problems, such as linear, fractional, quadratic, convex and non-convex programs. This paper pres ents a...

Optimality Conditions for Constrained Optimization

Suucient Conditions for Multiply Constrained Extrema

on a Hilbert space H. We derive suucient conditions for I to have a strong local minimum at a point y subject to the n constraints J i = 0.

Optimality Conditions for Irregular Inequality-Constrained Problems

We consider feasible sets given by conic constraints, where the cone defining the constraints is convex with nonempty interior. We study the case where the feasible set is not assumed to be regular in the classical sense of Robinson and obtain a constructive description of the tangent cone under a certain new second-order regularity condition. This condition contains classical regularity as a s...

Optimality Conditions for Constrained Optimization Problems