《線性和非線性規劃 （第3版）》是2015年世界圖書出版社出版的圖書，作者是（美）呂恩博格（Luenberger，D.G.）。
基本介紹
- 中文名：線性和非線性規劃 （第3版）
- 作者：（美）呂恩博格（Luenberger，D.G.）
- 出版社：世界圖書出版社
- ISBN：9787510094736
內容簡介,圖書目錄,作者簡介,
內容簡介
This book is intended as a text covering the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for students who have a technical background in engineering mathematics or science. Like the field of optimization itself which involves many classicaf disciplines the book should be useful to system analysts operations researchers numerical analysts management scientists and other specialists from the host ofdisciplines from which practicaloptimization appli- cations are drawn. The prerequisites for convenient use of the book are relatively modest; the prime requirement being some familiarity with introductory elements of linear algebra. Certain sections and developments do assume some knowledge of more advanced concepts of linear algebra such as eigenvector analysisk_or some background in sets of real numbers but the text is structured so that the mainstrean/ of the development can be faithfully pursued without reliance on trus more.advanced background material.
本書是研究運籌學的經典教材，在原來版本的基本上做了大量的修訂補充，涵蓋了這個運算領域的大量的理論洞見，是各行各業分析學者和運籌學研究人員所必需的。書中將運籌問題的純分析特性和解決其的算術行為聯繫起來，將新鮮的第一手運籌學方法包括其中。目次：導論；（線性規劃）：線性規劃的基本性質；單純型方法；對偶；內部點方法；運輸和網路流問題；（無條件問題）解的基本特性和運算；基本下降方法；共軛方向法；擬牛頓法；原始方法；懲罰和柱式開採法；對偶和割平面方法；原始對偶方法；附錄A：數學回顧；凸集合；高斯估計。
圖書目錄
Chapter l.Introdriction
PART I Linear Programming
Chapter 2.Basic Properties of Linear Programs
Chapter 3.The Simplex Method
Chapter 4.Dunlity
Chapter 5,Interior-Point Methods
Chapter 6. Transportation and Network Flow Problems
PART II Unconstrained Problems
Chapter 7.Basic Properhes of Solutions and Algorithms
Chapter 8.Basic Descent Methods
Chapter 9.Conjugate Direction Methods
Chapter 10.Quasi-Newton Methods
PART III Constrained Minimization
Chapter 11. Constrained Minimization Conditions
Chapter 12. Primal Methods
Appendix B. Convex Sets
Appendix C.Gaussian Elimination
Bibliography
Index
作者簡介
David G. Luenberger（D.G.呂恩博格，美國），是國際知名學者，在數學和物理學界享有盛譽。本書凝聚了作者多年科研和教學成果，適用於科研工作者、高校教師和研究生。
