Numerical Methods for Unconstrained Optimization and Nonlinear Equations

✍ Scribed by J. E. Dennis, Robert B. Schnabel

• Publisher: Society for Industrial Mathematics
• Year: 1996
• Tongue: English
• Leaves: 395
• Series: Classics in Applied Mathematics
• Category: Library

✦ Synopsis

SlAM's Classics in Applied Mathematics series consists of books that were previously allowed to go out of print. These books ate «published by S1AM as a professional service because they continue to be important resources for mathematical scientists.

✦ Table of Contents

Cover......Page 1
Front Matter......Page 2
About Classics in Applied Mathematics......Page 3
Title......Page 6
Table of Contents......Page 8
Preface to the Classics Edition......Page 12
Preface......Page 14
1. Introduction......Page 19
2. Nonlinear Problems in One Variable......Page 32
3. Numerical Linear Algebra Background......Page 57
4. Multivariable Calculus Background......Page 86
5. Newton's Method for Nonlinear Equations and Unconstrained Minimization......Page 103
6. Globally Convergent Modifications of Newton's Method......Page 128
7. Stopping, Scaling, and Testing......Page 172
8. Secant Methods for Systems of Nonlinear Equations......Page 185
9. Secant Methods for Unconstrained Minimization......Page 211
10. Nonlinear Least Squares......Page 235
11. Methods for Problems with Special Structure......Page 256
Appendix A - A Modular System of Algorithms for Unconstrained Minimization and Nonlinear Equations......Page 276
Appendix B - Test Problems......Page 378
References......Page 381
Author Index......Page 388
Subject Index......Page 390