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Numerical methods for unconstrained optimization and nonlinear equations

Author: J E Dennis; Robert B Schnabel; Society for Industrial and Applied Mathematics.
Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1996.
Series: Classics in applied mathematics, 16.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 95051776
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J E Dennis; Robert B Schnabel; Society for Industrial and Applied Mathematics.
ISBN: 9781611971200 1611971209
OCLC Number: 722474643
Notes: Title from title screen, viewed 04/05/2011.
Originally published: Englewood Cliffs, N.J. : Prentice-Hall, ©1983.
Description: 1 electronic text (xv, 378 pages) : illustrations, digital file.
Contents: Preface --
Chapter 1. Introduction --
Chapter 2. Nonlinear problems in one variable --
Chapter 3. Numerical linear algebra background --
Chapter 4. Multivariable calculus background --
Chapter 5. Newton's method for nonlinear equations and unconstrained minimization --
Chapter 6. Globally convergent modifications of Newton's method --
Chapter 7. Stopping, scaling, and testing. scaling --
Chapter 8. Secant methods for systems of nonlinear equations --
Chapter 9. Secant methods for unconstrained minimization --
Chapter 10. Nonlinear least squares --
Chapter 11. Methods for problems with special structure --
Appendix A.A modular system of algorithms for unconstrained minimization and nonlinear equations (by Robert Schnabel) --
Appendix B. Test problems (by Robert Schnabel) --
References --
Author index --
Subject index.
Series Title: Classics in applied mathematics, 16.
Responsibility: J.E. Dennis, Jr., Robert B. Schnabel.
More information:

Abstract:

This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.

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