Mathematical Programs With Equilibrium Constraints
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Mathematical Programs With Equilibrium Constraints
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Author : Zhi-Quan Luo
language : en
Publisher: Cambridge University Press
Release Date : 1996-11-13
Mathematical Programs With Equilibrium Constraints written by Zhi-Quan Luo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-13 with Mathematics categories.
An extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints.
Nonsmooth Approach To Optimization Problems With Equilibrium Constraints
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Author : Jiri Outrata
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-07-31
Nonsmooth Approach To Optimization Problems With Equilibrium Constraints written by Jiri Outrata and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-31 with Business & Economics categories.
This book presents an in-depth study and a solution technique for an important class of optimization problems. This class is characterized by special constraints: parameter-dependent convex programs, variational inequalities or complementarity problems. All these so-called equilibrium constraints are mostly treated in a convenient form of generalized equations. The book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton's method. Following this, stability and sensitivity theory for generalized equations is presented, based on the concept of strong regularity. This enables one to apply the generalized differential calculus for Lipschitz maps to derive optimality conditions and to arrive at a solution method. A large part of the book focuses on applications coming from continuum mechanics and mathematical economy. A series of nonacademic problems is introduced and analyzed in detail. Each problem is accompanied with examples that show the efficiency of the solution method. This book is addressed to applied mathematicians and engineers working in continuum mechanics, operations research and economic modelling. Students interested in optimization will also find the book useful.
Mathematical Programs With Equilibrium Constraints Solution Techniques From Parametric Optimization
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Author : Gemayqzel Bouza Allende
language : en
Publisher:
Release Date : 2006
Mathematical Programs With Equilibrium Constraints Solution Techniques From Parametric Optimization written by Gemayqzel Bouza Allende and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Mathematical Programs With Equilibrium Constraints
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Author : Holger Scheel
language : en
Publisher:
Release Date : 1996
Mathematical Programs With Equilibrium Constraints written by Holger Scheel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
On M Stationary Points For Mathematical Programs With Equilibrium Constraints
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Author : Michael L. Flegel
language : en
Publisher:
Release Date : 2004
On M Stationary Points For Mathematical Programs With Equilibrium Constraints written by Michael L. Flegel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Complementarity Applications Algorithms And Extensions
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Author : Michael C. Ferris
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Complementarity Applications Algorithms And Extensions written by Michael C. Ferris and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
This volume presents state-of-the-art complementarity applications, algorithms, extensions and theory in the form of eighteen papers. These at the International Conference on Com invited papers were presented plementarity 99 (ICCP99) held in Madison, Wisconsin during June 9-12, 1999 with support from the National Science Foundation under Grant DMS-9970102. Complementarity is becoming more widely used in a variety of appli cation areas. In this volume, there are papers studying the impact of complementarity in such diverse fields as deregulation of electricity mar kets, engineering mechanics, optimal control and asset pricing. Further more, application of complementarity and optimization ideas to related problems in the burgeoning fields of machine learning and data mining are also covered in a series of three articles. In order to effectively process the complementarity problems that arise in such applications, various algorithmic, theoretical and computational extensions are covered in this volume. Nonsmooth analysis has an im portant role to play in this area as can be seen from articles using these tools to develop Newton and path following methods for constrained nonlinear systems and complementarity problems. Convergence issues are covered in the context of active set methods, global algorithms for pseudomonotone variational inequalities, successive convex relaxation and proximal point algorithms. Theoretical contributions to the connectedness of solution sets and constraint qualifications in the growing area of mathematical programs with equilibrium constraints are also presented. A relaxation approach is given for solving such problems. Finally, computational issues related to preprocessing mixed complementarity problems are addressed.
Mathematical Programs With Equilibrium Constraints Mpecs In Process Systems Engineering
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Author : Brian Baumrucker
language : en
Publisher:
Release Date : 2009
Mathematical Programs With Equilibrium Constraints Mpecs In Process Systems Engineering written by Brian Baumrucker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Optimality Conditions For Mathematical Programs With Equilibrium Constraints
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Author : Michael L. Flegel
language : en
Publisher:
Release Date : 2002
Optimality Conditions For Mathematical Programs With Equilibrium Constraints written by Michael L. Flegel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Exact Penalization Of Mathematical Programs With Equilibrium Constraints
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Author : Stefan Scholtes
language : en
Publisher:
Release Date : 1997
Exact Penalization Of Mathematical Programs With Equilibrium Constraints written by Stefan Scholtes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Programming (Mathematics) categories.
A Smoothing Penalty Method For Mathematical Programs With Equilibrium Constraints
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Author : Jiaping Zhu
language : en
Publisher:
Release Date : 2005
A Smoothing Penalty Method For Mathematical Programs With Equilibrium Constraints written by Jiaping Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.