Optimization Principles and Methods - (Revised Edition)

Author: Xue Jiaqing
Publisher:
Publish Date: 2003-08-01
Features: This book systematically introduces the basic methods and theories of optimization and can serve as a textbook for senior undergraduate and graduate students in mathematics and other STEM disciplines. It is also suitable for university teachers, engineering professionals, and researchers for self-study and reference. The following points were considered in the writing of this book:
(1) Strive for clarity and accessibility, making it suitable for both teaching and self-study.
(2) The content primarily selects methods that have been proven effective in practice. Each selected method is introduced from its basic concept, with detailed theoretical foundations and complete formula guidance, allowing readers to gain a thorough understanding of the entire algorithm and each step.
(3) Focus on practicality while emphasizing theory. The book is divided into nine chapters. Chapter 1 introduces the basic concepts and mathematical prerequisites of optimization, forming the foundation of the entire book. Chapter 2 covers linear search techniques, which are a crucial pillar of optimization methods. Chapters 3 and 6 are part of the theoretically mature and methodically effective sections of optimization. The first four chapters are essential reading for beginners. Chapters 4 and 5 are relatively independent and can be optionally read. Chapters 7 to 9 discuss nonlinear constrained optimization theories and methods. As a textbook, the book can be covered in 70 hours of instruction.