Description: Interior Point Approach to Linear, Quadratic and Convex Programming : Algorithms and Complexity, Hardcover by Hertog, D. Den, ISBN 0792327349, ISBN-13 9780792327349, Like New Used, Free shipping in the US 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. Th is accessible to any mathematician with basic mathematical programming knowledge.
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Book Title: Interior Point Approach to Linear, Quadratic and Convex Programmi
Number of Pages: Xii, 210 Pages
Publication Name: Interior Point Approach to Linear, Quadratic, and Convex Programming : Algorithms and Complexity
Language: English
Publisher: Springer Netherlands
Publication Year: 1994
Subject: Machine Theory, Programming / Algorithms, Computer Science, Linear & Nonlinear Programming, Optimization
Type: Textbook
Item Weight: 38.8 Oz
Item Length: 9.6 in
Author: D. Den Hertog
Subject Area: Mathematics, Computers
Item Width: 6.7 in
Series: Mathematics and Its Applications Ser.
Format: Hardcover