عنوان

Linear and Nonlinear Programming /

(Number (ISBN

3319188410

(Number (ISBN

3319188429

(Number (ISBN

9783319188416

(Number (ISBN

9783319188423

Number

b623896

Title Proper

Linear and Nonlinear Programming /

General Material Designation

[Book]

First Statement of Responsibility

by David G. Luenberger, Yinyu Ye.

Edition Statement

4th ed. 2016.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer International Publishing,

Date of Publication, Distribution, etc.

2016.

Specific Material Designation and Extent of Item

1 online resource (XIII, 546 Seiten 90 Illustrationen) :

Other Physical Details

Online-Ressource

Series Title

International Series in Operations Research & Management Science ;

Volume Designation

228

Text of Note

This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem. As in the earlier editions, the material in this fourth edition is organized into three separate parts. Part I is a self-contained introduction to linear programming covering numerical algorithms and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. Part III extends the concepts developed in the second part to constrained optimization problems. It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities. New to this edition is a chapter devoted to Conic Linear Programming, a powerful generalization of Linear Programming. Indeed, many conic structures are possible and useful in a variety of applications. It must be recognized, however, that conic linear programming is an advanced topic, requiring special study. Other important and popular topics include (1) an accelerated steepest descent method that exhibits superior convergence properties and (2) the alternating direction method with multipliers (ADMM) that can be implemented distributionally. The proof of the convergence property for both standard and accelerated steepest descent methods are presented in Chapter 8, and the analysis of ADMM in Chapter 14 as a dual method. As in previous editions, end-of-chapter exercises appear for most chapters. From the reviews of the Third Edition " .this very well-written book is a classic textbook in Optimization. It should be present in the bookcase of each student, res.

Economics.

Engineering economy.

Operations research.

Economics.

Engineering economy.

Operations research.

Number

Edition

Class number

Luenberger, David G.

Ye, Yinyu.

Date of Transaction

20200617083012.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y