Linear and Nonlinear Programming

• Main Authors: Luenberger, David G. (Author), Ye, Yinyu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2008.
• Edition: Third Edition.
• Series: International Series in Operations Research & Management Science, 116
• Subjects: Mathematics.; Operations research.; Decision making.; Mathematical models.; Mathematical optimization.; Management science.; Industrial engineering.; Production engineering.; Engineering economics.; Engineering economy.; Operations Research, Management Science.; Operation Research/Decision Theory.; Optimization.; Mathematical Modeling and Industrial Mathematics.; Engineering Economics, Organization, Logistics, Marketing.; Industrial and Production Engineering.

"Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as...

Table of Contents:

• Linear Programming
• Basic Properties of Linear Programs
• The Simplex Method
• Duality
• Interior-Point Methods
• Transportation and Network Flow Problems
• Unconstrained Problems
• Basic Properties of Solutions and Algorithms
• Basic Descent Methods
• Conjugate Direction Methods
• Quasi-Newton Methods
• Constrained Minimization
• Constrained Minimization Conditions
• Primal Methods
• Penalty and Barrier Methods
• Dual and Cutting Plane Methods
• Primal-Dual Methods.