Practical Methods of Optimization

Fletcher, R.

ISBN 10: 0471915475 / ISBN 13: 9780471915478

Edité par John Wiley & Sons, Chichester, New York, Brisbane, Toronto & Singapore, 1990

A propos de cet article

With diagrams. Light foxing to edges. Slight wear to spine, covers & corners. ; 8vo 8" - 9" tall; xiv, 436 pages.

N° de réf. du vendeur LCK90948

Détails bibliographiques

• Titre: Practical Methods of Optimization
• Éditeur: John Wiley & Sons, Chichester, New York, Brisbane, Toronto & Singapore
• Date de parution: 1990
• Langue: anglais
• ISBN à 10 chiffres: 0471915475
• ISBN à 13 chiffres: 9780471915478
• Reliure: Original decorated wrappers
• Édition: First Edition; Second Printing.
• État de l'article: Very Good

A propos de ce titre

Synopsis

The second edition of this established textbook combines volumes 1 and 2 of the first edition. The presentation and theory in this new edition have been extended and improved, and a number of new developments are described including an extended treatment of linear programming and important recent advances in polynomial time algorithms. There are new sections on network programming, a subject of great practical importance, and on optimality conditions for constrained composite non-smooth optimization. Throughout the book the emphasis is on practicability, and a great deal of attention is given to methods which have proved reliable and efficient. The first edition included frequent worked examples and exercises which both illustrated and extended the text, and these have been augmented in this combined second edition.

Quatrième de couverture

This established textbook is noted for its coverage of optimization methods that are of practical importance. It provides a thorough treatment of standard methods such as linear and quadratic programming, Newton–like methods and the conjugate gradient method. The theoretical aspects of the subject include an extended treatment of optimality conditions and the significance of Lagrange multipliers. The relevance of convexity theory to optimization is also not neglected. A significant proportion of the book is devoted to the solution of nonlinear problems, with an authoritative treatment of current methodology. Thus state of the art techniques such as the BFGS method, trust region methods and the SQP method are described and analysed. Other features are an extensive treatment of nonsmooth optimization and the L—1 penalty function. Contents Part 1 Unconstrained Optimization Part 2 Constrained Optimization
∗ Introduction
∗ Structure of Methods
∗ Newton–like Methods
∗ Conjugate Direction Methods
∗ Restricted Step Methods
∗ Sums of Squares and Nonlinear Equations
∗ Introduction
∗ Linear Programming
∗ The Theory of Constrained Optimization
∗ Quadratic Programming
∗ General Linearly Constrained Optimization
∗ Nonlinear Programming
∗ Other Optimization Problems