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Optimization

Name: Optimization
Brand: Springer-Verlag New York Inc.
SKU: 02174458
Price: 306.39 EUR
Availability: InStock
Author: Elijah Polak
ISBN: 9781461268611

Algorithms and Consistent Approximations

Elijah Polak

Language

English

Book Paperback

Libristo code: 02174458

Publishers Springer-Verlag New York Inc., December 2012

This book covers algorithms and discretization procedures for the solution of nonlinear progamming,... Full description

Libristo code: 02174458

746 b

306.39 €

599.24 лв

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This book covers algorithms and discretization procedures for the solution of nonlinear progamming, semi-infinite optimization and optimal control problems. Among the important features included are the theory of algorithms represented as point-to-set maps, the treatment of min-max problems with and without constraints, the theory of consistent approximation which provides a framework for the solution of semi-infinite optimization, optimal control, and shape optimization problems with very general constraints, using simple algorithms that call standard nonlinear programming algorithms as subroutines, the completeness with which algorithms are analysed, and chapter 5 containing mathematical results needed in optimization from a large assortment of sources. Readers will find of particular interest the exhaustive modern treatment of optimality conditions and algorithms for min-max problems, as well as the newly developed theory of consistent approximations and the treatment of semi-infinite optimization and optimal control problems in this framework. This book presents the first treatment of optimization algorithms for optimal control problems with state-trajectory and control constraints, and fully accounts for all the approximations that one must make in their solution.It is also the first to make use of the concepts of epi-convergence and optimality functions in the construction of consistent approximations to infinite dimensional problems.