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An Introduction to Optimization, 2nd Edition

ISBN: 978-0-471-65400-1
E-book
496 pages
April 2004
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Preface.

MATHEMATICAL REVIEW.

Methods of Proof and Some Notation.

Vector Spaces and Matrices.

Transformations.

Concepts from Geometry.

Elements of Calculus.

UNCONSTRAINED OPTIMIZATION.

Basics of Set-Constrained and Unconstrained Optimization.

One-Dimensional Search Methods.

Gradient Methods.

Newton's Method.

Conjugate Direction Methods.

Quasi-Newton Methods.

Solving Ax = b.

Unconstrained Optimization and Neural Networks.

Genetic Algorithms.

LINEAR PROGRAMMING.

Introduction to Linear Programming.

Simplex Method.

Duality.

Non-Simplex Methods.

NONLINEAR CONSTRAINED OPTIMIZATION.

Problems with Equality Constraints.

Problems with Inequality Constraints.

Convex Optimization Problems.

Algorithms for Constrained Optimization.

References.

Index.