Practical Methods of Optimization / Edition 2

Practical Methods of Optimization / Edition 2

by R. Fletcher
     
 

ISBN-10: 0471494631

ISBN-13: 9780471494638

Pub. Date: 08/16/2000

Publisher: Wiley

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

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Overview

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

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Product Details

ISBN-13:
9780471494638
Publisher:
Wiley
Publication date:
08/16/2000
Edition description:
REV
Pages:
456
Product dimensions:
9.00(w) x 6.00(h) x 1.02(d)

Table of Contents

UNCONSTRAINED OPTIMIZATION.

Structure of Methods.

Newton-like Methods.

Conjugate Direction Methods.

Restricted Step Methods.

Sums of Squares and Nonlinear Equations.

CONSTRAINED OPTIMIZATION.

Linear Programming.

The Theory of Constrained Optimization.

Quadratic Programming.

General Linearly Constrained Optimization.

Nonlinear Programming.

Other Optimization Problems.

Non-Smooth Optimization.

References.

Subject Index.

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