Semi-Infinite Programming

By: Rembert Reemtsen (Editor), Jan-J. RÃ¼ckmann (Editor)

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Hardcover | 30 April 1998

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436 Pages

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24.77 x 16.51 x 3.18

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Semi-infinite programming (briefly: SIP) is an exciting part of mathematical programming. SIP problems include finitely many variables and, in contrast to finite optimization problems, infinitely many inequality constraints. Prob lems of this type naturally arise in approximation theory, optimal control, and at numerous engineering applications where the model contains at least one inequality constraint for each value of a parameter and the parameter, repre senting time, space, frequency etc., varies in a given domain. The treatment of such problems requires particular theoretical and numerical techniques. The theory in SIP as well as the number of numerical SIP methods and appli cations have expanded very fast during the last years. Therefore, the main goal of this monograph is to provide a collection of tutorial and survey type articles which represent a substantial part of the contemporary body of knowledge in SIP. We are glad that leading researchers have contributed to this volume and that their articles are covering a wide range of important topics in this subject. It is our hope that both experienced students and scientists will be well advised to consult this volume. We got the idea for this volume when we were organizing the semi-infinite pro gramming workshop which was held in Cottbus, Germany, in September 1996.

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You Can Find This Book In

Non-Fiction Mathematics Optimisation Linear Programming Applied Mathematics Probability & Statistics Engineering & Technology Mechanical Engineering & Materials Production & Industrial Engineering Computing & I.T.Computer Programming & Software Development Software Engineering

Business & Management Operational Research

Preface
Contributers
Theory	p. 1
A Comprehensive Survey of Linear Semi-Infinite Optimization Theory	p. 3
On Stability and Deformation in Semi-Infinite Optimization	p. 29
Regularity and Stability in Nonlinear Semi-Infinite Optimization	p. 69
First and Second Order Optimality Conditions and Perturbation Analysis of Semi-Infinite Programming Problems	p. 103
Numerical Methods	p. 135
Exact Penalty Function Methods for Nonlinear Semi-Infinite Programming	p. 137
Feasible Sequential Quadratic Programming for Finely Discretized Problems from Sip	p. 159
Numerical Methods for Semi-Infinite Programming: A Survey	p. 195
Connections Between Semi-Infinite and Semidefinite Programming	p. 277
Applications	p. 295
Reliability Testing and Semi-infinite Linear Programming	p. 297
Semi-Infinite Programming in Orthogonal Wavelet Filter Design	p. 323
The Design of Nonrecursive Digital Filters Via Convex Optimization	p. 361
Semi-Infinite Programming in Control	p. 389
Table of Contents provided by Blackwell. All Rights Reserved.

Semi-Infinite Programming

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