Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics)
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Overview
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.
Editorials
Alfred Braier
With 206 exercises aiming to illustrate and develop the ideas in the text and 134 bibliographical references, this very well written and organized monograph provides the basic information needed to understand both the theory and the practice of the methods for solving problems related to unconstrained optimization and systems of nonlinear equations.— Buletinul Institutului Politehnic Din Iasi, Tomul
Claude Brejinski
This book is a standard for a complete description of the methods for unconstrained optimization and the solution of nonlinear equations. ...this republication is most welcome and this volume should be in every library. Of course, there exist more recent books on the topics and somebody interested in the subject cannot be satisfied by looking only at this book. However, it contains much quite-well-presented material and I recommend reading it before going to other publications.— Numerical Algorithms
Mathematics Today
The methods described in the book are still today the basic tool for most small and medium sized problems. .The authors present both a thorough analysis of the methods and also practical consideration of issues relating to implementation. .For anyone who needs to go beyond the basic treatment of numerical methods for nonlinear equations given in any number of standard numerical texts this book is ideal.— Mathematics Today