(eBook PDF) Linear and Nonlinear Optimization (International Series in Operations Research & Management Science Book 253)

(eBook PDF) Linear and Nonlinear Optimization (International Series in Operations Research & Management Science Book 253) – Digital Ebook – Instant Delivery Download

Product details:

• ISBN-10 ‏ : ‎ 1493983792
• ISBN-13 ‏ : ‎ 978-1493983797
• Author: Richard W. Cottle, Mukund N. Thapa

​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.

Table contents:

1 LP MODELS AND APPLICATIONS

2 LINEAR EQUATIONS AND INEQUALITIES

3 THE SIMPLEX ALGORITHM

4 THE SIMPLEX ALGORITHM CONTINUED

5 DUALITY AND THE DUAL SIMPLEX ALGORITHM

6 POSTOPTIMALITY ANALYSES

7 SOME COMPUTATIONAL CONSIDERATIONS

8 NLP MODELS AND APPLICATIONS

9 UNCONSTRAINED OPTIMIZATION

10 DESCENT METHODS

11 OPTIMALITY CONDITIONS

12 PROBLEMS WITH LINEAR CONSTRAINTS

13 PROBLEMS WITH NONLINEAR CONSTRAINTS

14 INTERIOR-POINT METHODS

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