An Introduction to Optimization, Second Edition
Edwin K. P. Chong and Stanislaw H. Z.ak

    Wiley-Interscience Series in Discrete Mathematics and Optimization
    John Wiley & Sons, Inc.
    New York
    Copyright (c) 2001
    ISBN 0-471-39126-3
    476頁

Brief Table of Contents:

Part I. Mathematical Review
    1 Methods of Proof and Some Notation
    2 Vector Spaces and Matrices
    3 Transformations
    4 Concepts from Geometry
    5 Elements of Calculus

Part II. Unconstrained Optimization
    6 Basics of Set-Constrained and Unconstrained Optimization
    7 One-Dimensional Search Methods
    8 Gradient Methods
    9 Newton's Method
   10 Conjugate Direction Methods
   11 Quasi-Newton Methods
   12 Solving Ax=b
   13 Unconstrained Optimization and Neural Networks
   14 Genetic Algorithms

Part III. Linear Programming
    15 Introduction to Linear Programming
    16 Simplex Method
    17 Duality
    18 Non-Simplex Methods

Part IV. Nonlinear Constrained Optimization
    19 Problems with Equality Constraints
    20 Problems With Inequality Constraints
    21 Convex Optimization Problems
    22 Algorithms for Constrained Optimization

References
Index



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