最適化とアルゴリズム・工学への応用（テキスト・第２版） Practical Optimization : Algorithms and Engineering Applications (Texts in Computer Science) （2ND）

Antoniou, Andreas/ Lu, Wu-Sheng

Springer-Verlag New York Inc.（2021/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 722 p.
• 言語 ENG
• 商品コード 9781071608418
• DDC分類 004

Full Description

This textbook provides a hands-on treatment of the subject of optimization. A comprehensive set of problems and exercises makes it suitable for use in one or two semesters of an advanced undergraduate course or a first-year graduate course. Each half of the book contains a full semester's worth of complementary yet stand-alone material. The practical orientation of the topics chosen and a wealth of useful examples also make the book suitable as a reference work for practitioners in the field.

In this second edition the authors have added sections on recent innovations, techniques, and methodologies.

Contents

The Optimization Problem.- Basic Principles.- General Properties of Algorithms.- One-Dimensional Optimization.- Basic Multidimensional Gradient Methods.- Conjugate-Direction Methods.- Quasi-Newton Methods.- Minimax Methods.- Applications of Unconstrained Optimization.- Fundamentals of Constrained Optimization.- Linear Programming Part I: The Simplex Method.- Linear Programming Part II: Interior-Point Methods.- Quadratic and Convex Programming.- Semidefinite and Second-Order Cone Programming.- General Nonlinear Optimization Problems.- Applications of Constrained Optimization.