Sensitivity, Stability and Parametric Analysis

✍ Scribed by Bernd Bank, Rainer Hansel (auth.), Anthony V. Fiacco (eds.)

• Publisher: Springer Berlin Heidelberg
• Year: 1984
• Tongue: English
• Leaves: 248
• Series: Mathematical Programming Studies 21
• Category: Library

✦ Table of Contents

Stability of mixed-integer quadratic programming problems....Pages 1-17
Parametric semi-infinite linear programming I. continuity of the feasible set and of the optimal value....Pages 18-42
Linear parametric programming—A brief survey....Pages 43-68
Some examples and counterexamples for the stability analysis of nonlinear programming problems....Pages 69-78
On imbedding and parametric optimization—A concept of a globally convergent algorithm for nonlinear optimization problems....Pages 79-96
Three methods for postoptimal analysis in integer linear programming....Pages 97-109
Directional derivative of the marginal function in nonlinear programming....Pages 110-126
Solution point differentiability without strict complementarity in nonlinear programming....Pages 127-138
A sufficient condition for lower semicontinuity of solution sets of systems of convex inequalities....Pages 139-149
Continuous deformation of nonlinear programs....Pages 150-198
Generalized equations: Solvability and regularity....Pages 199-212
Directional differentiability of the optimal value function in a nonlinear programming problem....Pages 213-226
On stability analysis in mathematical programming....Pages 227-242

✦ Subjects

Optimization; Mathematics of Computing