D Den Hertog

(Author)

Interior Point Approach to Linear, Quadratic and Convex Programming: Algorithms and Complexity (Softcover Reprint of the Original 1st 1994)Paperback - Softcover Reprint of the Original 1st 1994, 10 October 2012

Interior Point Approach to Linear, Quadratic and Convex Programming: Algorithms and Complexity (Softcover Reprint of the Original 1st 1994)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
210 pages
Language
English
Publisher
Springer
Date Published
10 Oct 2012
ISBN-10
9401044961
ISBN-13
9789401044967

Description

This book describes the rapidly developing field of interior point methods (IPMs). An extensive analysis is given of path-following methods for linear programming, quadratic programming and convex programming. These methods, which form a subclass of interior point methods, follow the central path, which is an analytic curve defined by the problem. Relatively simple and elegant proofs for polynomiality are given. The theory is illustrated using several explicit examples. Moreover, an overview of other classes of IPMs is given. It is shown that all these methods rely on the same notion as the path-following methods: all these methods use the central path implicitly or explicitly as a reference path to go to the optimum.
For specialists in IPMs as well as those seeking an introduction to IPMs. The book is accessible to any mathematician with basic mathematical programming knowledge.

Product Details

Author:
D Den Hertog
Book Edition:
Softcover Reprint of the Original 1st 1994
Book Format:
Paperback
Country of Origin:
NL
Date Published:
10 October 2012
Dimensions:
23.39 x 15.6 x 1.22 cm
ISBN-10:
9401044961
ISBN-13:
9789401044967
Language:
English
Location:
Dordrecht
Pages:
210
Publisher:
Weight:
326.59 gm

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