Primal Dual Interior Point Methods

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Primal Dual Interior Point Methods

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Author : Stephen J. Wright
language : en
Publisher: SIAM
Release Date : 1997-01-01

Primal Dual Interior Point Methods written by Stephen J. Wright and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Technology & Engineering categories.

Presents the major primal-dual algorithms for linear programming. A thorough, straightforward description of the theoretical properties of these methods.

New Primal Dual Interior Point Methods Based On Kernel Functions

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Author : Mohamed El Ghami
language : en
Publisher:
Release Date : 2005

New Primal Dual Interior Point Methods Based On Kernel Functions written by Mohamed El Ghami and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Search Directions For Primal Dual Interior Point Methods In Semidefinite Programming

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Author : K. C. Toh
language : en
Publisher:
Release Date : 1997

Search Directions For Primal Dual Interior Point Methods In Semidefinite Programming written by K. C. Toh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Interior Point Methods For Large Scale Nonconvex Optimization

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Author : Joshua David Griffin
language : en
Publisher:
Release Date : 2005

Interior Point Methods For Large Scale Nonconvex Optimization written by Joshua David Griffin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Self Regularity

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Author : Jiming Peng
language : en
Publisher: Princeton University Press
Release Date : 2009-01-10

Self Regularity written by Jiming Peng and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-10 with Mathematics categories.

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 problems, semidefinite optimization, and second-order conic optimization problems. The framework also covers large classes of linear complementarity problems and convex optimization. The algorithm considered can be interpreted as a path-following method or a potential reduction method. Starting from a primal-dual strictly feasible point, the algorithm chooses a search direction defined by some Newton-type system derived from the self-regular proximity. The iterate is then updated, with the iterates staying in a certain neighborhood of the central path until an approximate solution to the problem is found. By extensively exploring some intriguing properties of self-regular functions, the authors establish that the complexity of large-update IPMs can come arbitrarily close to the best known iteration bounds of IPMs. Researchers and postgraduate students in all areas of linear and nonlinear optimization will find this book an important and invaluable aid to their work.

San Kuo Chi Yen I

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Author :
language : en
Publisher:
Release Date : 1982

San Kuo Chi Yen I written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

On The Convergence Of Primal Dual Interior Point Methods With Wide Neighborhoods

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Author : Levent Tuncel
language : en
Publisher:
Release Date : 1992

On The Convergence Of Primal Dual Interior Point Methods With Wide Neighborhoods written by Levent Tuncel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

An Interior Point Perspective On Sensitivity Analysis In Linear Programming And Semidefinite Programming

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Author : Emre Alper Yildirim
language : en
Publisher:
Release Date : 2001

An Interior Point Perspective On Sensitivity Analysis In Linear Programming And Semidefinite Programming written by Emre Alper Yildirim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Applied Mathematical Programming And Modeling Iv Apmod 98

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Author : Hercules Vladimirou
language : en
Publisher:
Release Date : 2001

Applied Mathematical Programming And Modeling Iv Apmod 98 written by Hercules Vladimirou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computer programming categories.

Structured Primal Dual Interior Point Methods For Semidefinite Programming

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Author : Zhiming Deng
language : en
Publisher:
Release Date : 2008

Structured Primal Dual Interior Point Methods For Semidefinite Programming written by Zhiming Deng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.