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Optimization : Algorithms and Consistent Approximations

Author: Elijah Polak
Publisher: New York, NY : Springer New York, 1997.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), 124.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Elijah Polak
ISBN: 9781461206637 1461206634
OCLC Number: 853269495
Description: 1 online resource (xx, 782 pages).
Contents: Unconstrained Optimization --
Optimality Conditions --
Algorithm Models and Convergence Conditions I --
Gradient Methods --
Newton's Method --
Methods of Conjugate Directions --
Quasi-Newton Methods --
One Dimensional Optimization --
Newton's Method for Equations and Inequalities --
Finite Minimax and Constrained Optimization --
Optimality Conditions for Minimax --
Optimality Conditions for Constrained Optimization --
Algorithm Models and Convergence Conditions II --
First-Order Minimax Algorithms --
Newton's Method for Minimax Problems --
Phase I. Phase II Methods of Centers --
Penalty Function Algorithms --
An Augmented Lagrangian Method.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), 124.
Responsibility: by Elijah Polak.

Abstract:

This book deals with optimality conditions, algorithms, and discretization tech- niques for nonlinear programming, semi-infinite optimization, and optimal con- trol problems.  Read more...

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