The Linear Complementarity Problem In Mathematical Programming
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The Linear Complementarity Problem
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Author : Richard W. Cottle
language : en
Publisher: SIAM
Release Date : 2009-08-27
The Linear Complementarity Problem written by Richard W. Cottle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Mathematics categories.
A revised edition of the standard reference on the linear complementarity problem.
Linear Complementarity Linear And Nonlinear Programming
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Author : Katta G. Murty
language : en
Publisher:
Release Date : 1988
Linear Complementarity Linear And Nonlinear Programming written by Katta G. Murty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Linear complementarity problem categories.
A Unified Approach To Interior Point Algorithms For Linear Complementarity Problems
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Author : Masakazu Kojima
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-09-25
A Unified Approach To Interior Point Algorithms For Linear Complementarity Problems written by Masakazu Kojima 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 1991-09-25 with Language Arts & Disciplines categories.
Following Karmarkar's 1984 linear programming algorithm, numerous interior-point algorithms have been proposed for various mathematical programming problems such as linear programming, convex quadratic programming and convex programming in general. This monograph presents a study of interior-point algorithms for the linear complementarity problem (LCP) which is known as a mathematical model for primal-dual pairs of linear programs and convex quadratic programs. A large family of potential reduction algorithms is presented in a unified way for the class of LCPs where the underlying matrix has nonnegative principal minors (P0-matrix). This class includes various important subclasses such as positive semi-definite matrices, P-matrices, P*-matrices introduced in this monograph, and column sufficient matrices. The family contains not only the usual potential reduction algorithms but also path following algorithms and a damped Newton method for the LCP. The main topics are global convergence, global linear convergence, and the polynomial-time convergence of potential reduction algorithms included in the family.
The Linear Complementarity Problem In Mathematical Programming
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Author : B. Curtis Eaves
language : en
Publisher:
Release Date : 1969
The Linear Complementarity Problem In Mathematical Programming written by B. Curtis Eaves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Linear programming categories.
The study centers on the task of efficiently finding a solution of the linear complementarity problem: Ix - My = q, x = or> 0, Y = or> 0, x perpendicular to y.
Complementarity And Variational Problems
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Author : Michael C. Ferris
language : en
Publisher: SIAM
Release Date : 1997-01-01
Complementarity And Variational Problems written by Michael C. Ferris 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 Mathematics categories.
After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.
An Iterative Scheme For Linear Complementarity Problems
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Author : T. H. Shiau
language : en
Publisher:
Release Date : 1984
An Iterative Scheme For Linear Complementarity Problems written by T. H. Shiau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
The linear complementarity problem (LCP) is an important problem in mathematical programming for solving linear programming, quadratic programming and bimatrix games. This work gives a new scheme for solving the LCP. Based on the scheme different algorithms may be designed for finding approximate solutions of very large scale problems or exact solutions of moderate LCPs. A specific algorithm for the latter is given, together with some numerical results. These indicate that the method is more effective than other existing methods.
The Linear Complementarity Problem
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Author : Richard W. Cottle
language : en
Publisher: SIAM
Release Date : 1992-01-01
The Linear Complementarity Problem written by Richard W. Cottle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
Awarded the Frederick W. Lanchester Prize in 1994 for its valuable contributions to operations research and the management sciences, this mathematically rigorous book remains the standard reference on the linear complementarity problem. Readers will find a comprehensive treatment of the computation of equilibria arising from engineering, economics, and finance; chapter-ending exercises and "Notes and References" sections that make it equally useful for a graduate-level course or for self-study; corrections and revisions of difficult passages from the 1992 edition; and an updated bibliography. Audience: researchers and graduate students in fields including optimization, game theory, and finance, and diverse engineering disciplines, especially computer science and mechanical engineering.
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.
Complementarity And Fixed Point Problems
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Author : Richard Cottle
language : en
Publisher: North-Holland
Release Date : 1978
Complementarity And Fixed Point Problems written by Richard Cottle and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
The Linear Complementarity Problem In Mathematical Programming
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Author : Burchet Curtis Eaves
language : en
Publisher:
Release Date : 1969
The Linear Complementarity Problem In Mathematical Programming written by Burchet Curtis Eaves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Linear programming categories.