大域最適化入門（第２版）<br>Introduction to Global Optimization (Nonconvex Optimization and Its Applications 48) （2nd ed. 2000. 368 S. 240 mm）

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大域最適化入門（第２版）
Introduction to Global Optimization (Nonconvex Optimization and Its Applications 48) （2nd ed. 2000. 368 S. 240 mm）

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  • 製本 Hardcover:ハードカバー版／ページ数 353 p.
  • 言語 ENG
  • 商品コード 9780792365747

基本説明

The second edition includes algorithms, applications, and complexity results for quadratic programming, concave minimization, DC and Lipshitz problems, decomposition algorithms for nonconvex optimization, and nonlinear network flow problems.

Full Description

In this edition, the scope and character of the monograph did not change with respect to the first edition. Taking into account the rapid development of the field, we have, however, considerably enlarged its contents. Chapter 4 includes two additional sections 4.4 and 4.6 on theory and algorithms of D.C. Programming. Chapter 7, on Decomposition Algorithms in Nonconvex Optimization, is completely new. Besides this, we added several exercises and corrected errors and misprints in the first edition. We are grateful for valuable suggestions and comments that we received from several colleagues. R. Horst, P.M. Pardalos and N.V. Thoai March 2000 Preface to the First Edition Many recent advances in science, economics and engineering rely on nu­ merical techniques for computing globally optimal solutions to corresponding optimization problems. Global optimization problems are extraordinarily di­ verse and they include economic modeling, fixed charges, finance, networks and transportation, databases and chip design, image processing, nuclear and mechanical design, chemical engineering design and control, molecular biology, and environment al engineering. Due to the existence of multiple local optima that differ from the global solution all these problems cannot be solved by classical nonlinear programming techniques. During the past three decades, however, many new theoretical, algorith­ mic, and computational contributions have helped to solve globally multi­ extreme problems arising from important practical applications.

Contents

Preface to the Second Edition. Preface to the First Edition. 1. Fundamental results. 2. Quadratic Programming. 3. General Concave Minimization. 4. D.C. Programming. 5. Lipschitz Optimization. 6. Global Optimization on Networks. 7. Decomposition Algorithms. Solutions. Selected References. Index.