Optimization Theory and Algorithms

Author: Chen Baolin
Publisher:
Publish Date: 2005-10-01
Features: This book is compiled by Professor Chen Baolin based on years of practical experience. It includes topics such as the simplex method for linear programming, duality theory, sensitivity analysis, transportation problems, interior-point algorithms, K-T conditions for nonlinear programming, unconstrained optimization methods, constrained optimization methods, integer programming, and dynamic programming. The book contains a large number of classical and recent algorithms, offers systematic theoretical analysis, and is highly practical. The proofs of theorems and derivations of algorithms are primarily based on mathematical analysis and linear algebra, making them relatively simple and easy to learn. This book can serve as a teaching reference for courses in operations research and can also be used as a reference for applied mathematicians and engineering technicians.