书目名称 | Linear and Nonlinear Optimization |
编辑 | Richard W. Cottle,Mukund N. Thapa |
视频video | |
概述 | Entirely readable yet mathematically rigorous.Includes end-of-chapter exercises.Authors are prominent scholars in the field.Includes supplementary material: |
丛书名称 | International Series in Operations Research & Management Science |
图书封面 |  |
描述 | .This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into two parts covering in their individual chapters LP Models and Applications; Linear Equations and Inequalities; The Simplex Algorithm; Simplex Algorithm Continued; Duality and the Dual Simplex Algorithm; Postoptimality Analyses; Computational Considerations; Nonlinear (NLP) Models and Applications; Unconstrained Optimization; Descent Methods; Optimality Conditions; Problems with Linear Constraints; Problems with Nonlinear Constraints; Interior-Point Methods; and an Appendix covering Mathematical Concepts. Each chapter ends with a set of exercises.. .The book is based on lecture notes the authors have used in numerous optimization courses the authors have taught at StanfordUniversity. It emphasizes modeling and numerical algorithms for optimization with continuous (not integer) variables. The discussion presents the underlying theory without always focusing on formal mathematical proofs |
出版日期 | Textbook 2017 |
关键词 | Operations Research; Mathematical Programming; Optimization Models; Linear Programming; Nonlinear Progra |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4939-7055-1 |
isbn_softcover | 978-1-4939-8379-7 |
isbn_ebook | 978-1-4939-7055-1Series ISSN 0884-8289 Series E-ISSN 2214-7934 |
issn_series | 0884-8289 |
copyright | Springer Science+Business Media LLC 2017 |