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Synopsis
This volume provides an outstanding collection of tutorial and survey articles on semi-infinite programming by leading researchers. While the literature on semi-infinite programming has grown enormously, an up-to-date book on this exciting area of optimization has been sorely lacking. The volume is divided into three parts. The first part, Theory, includes an analysis of sensitivity and stability properties and a discussion of parameter-dependent problems. A comprehensive survey of existing methods and a discussion of connections with semi-definite programming are topics in the second part, Numerical Methods. Investigations of special problems from signal processing, reliability testing, and control theory make up the final part, Applications.
Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.
Booknews
Not halfway to infinity, which is still pretty far out there, but finite in some dimensions--number of variables--and infinite in others--number of inequality constraints. Such problems typically arise in approximation theory, optimal control, and in engineering applications associated with models that contain certain features. Research mathematicians who have been working in the area contribute 12 articles on theory, numerical methods, and applications. Among their discussions are stability and deformation in semi-infinite optimization, connections between semi-infinite and semi-definite programming, and the design of non-recursive digital filters through convex optimization. Advance students and researchers in applied mathematics and engineering might find the collection useful. No index. Annotation c. by Book News, Inc., Portland, Or.