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Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms /

Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap b...

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Bibliographic Details
Main Author: Peng, Jiming
Other Authors: Terlaky, Tamás, Roos, Cornelis, 1941-
Format: Electronic eBook
Language:Inglés
Published: Oxford : Princeton University Press, 2002.
Series:Book collections on Project MUSE.
Subjects:
Online Access:Texto completo
Description
Summary:Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity.
Physical Description:1 online resource: illustrations
ISBN:9781400825134