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Introduction to Global Optimization : Nonconvex Optimization and Its Applications - Reiner Horst

Introduction to Global Optimization

Nonconvex Optimization and Its Applications

Hardcover Published: April 2002
ISBN: 9780792335566
Number Of Pages: 320

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Most of the existing books in optimization focus on the problem of computing locally optimal solutions. Global optimization is concerned with the computation and characterization of global optima of nonlinear functions.
Global optimization problems are widespread in the mathematical modeling of real world systems for a very broad range of applications. During the past three decades many new theoretical, algorithmic, and computational contributions helped to solve globally multiextreme problems arising from important practical applications.
Introduction to Global Optimization is a comprehensive textbook that covers the fundamentals in global optimization and presents much new material. The book includes algorithms, applications, and complexity results for quadratic programming, concave minimization, DC and Lipschitz problems, and nonlinear network flow problems. Each chapter contains illustrative examples and ends with carefully selected exercises which are designed to help the student to get a grasp of the material and enhance his knowledge of global optimization methods.
The textbook is addressed not only to students of mathematical programming, but to all scientists in various disciplines who need global optimization methods to model and solve problems.

Industry Reviews

`Each chapter contains illustrative examples and exercises. This excellent book is the first textbook on deterministic global optimization.'
Mathematical Reviews, 96g:90001
`The authors provide a nice selection of homework exercises (with solutions) at an appropriate level and a good mixture of theory, application, and numerical problems throughout the text. The text would be perfect for a course on global optimization.'
Interfaces, 28 (1998)
`Overall, this book provides an excellent introduction to the fascinating field of global optimization. The authors have used their extensive knowledge of and perspective on the field to create a coherent text that is accessible to a large audience that includes both students of mathematical programming and scientists who utilize optimization in their work.'
Journal of Global Optimization, 9 (1996)

Preface
Fundamental Results on Convexity and Optimizationp. 1
Quadratic Programmingp. 47
General Concave Minimizationp. 105
D.C. Programmingp. 191
Lipschitz Optimizationp. 231
Global Optimization on Networksp. 261
Solutionsp. 285
Selected Referencesp. 308
Indexp. 314
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792335566
ISBN-10: 0792335562
Series: Nonconvex Optimization and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 320
Published: April 2002
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 24.69 x 16.31  x 2.41
Weight (kg): 0.64

Earn 587 Qantas Points
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