Fixed Point Methods For The Complementarity Problem

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Fixed Point Methods For The Complementarity Problem

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Author : P. K. Subramanian
language : en
Publisher:
Release Date : 1985

Fixed Point Methods For The Complementarity Problem written by P. K. Subramanian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

This paper is concerned with iterative procedures for the monotone complementarity problem. These iterative methods consist of findng fixed points of appropriate continuous maps. In the case of the linear complementarity problem, it is shown that the problem is solvable if and only if the sequence of iterates is bounded in which case summability methods are used to find a solution of the nonlinear complementarity problem satisfying certain regularity conditions for which the problem has a nonempty bounded solution set. Keywords: Monotone operators; Operators(mathematics). (Author).

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.

Numerical Solution Of Highly Nonlinear Problems

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Author : Walter Forster
language : en
Publisher: North Holland
Release Date : 1980

Numerical Solution Of Highly Nonlinear Problems written by Walter Forster and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Collection of articles based on the lectures presented at the Symposium on Fixed Point Algorithm and Complementarity, held at the University of Southampton, 3-5 July, 1979.

Fixed Points

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Author : Stepan Karamardian
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Fixed Points written by Stepan Karamardian and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Fixed Points: Algorithms and Applications covers the proceedings of the First International Conference on Computing Fixed Points with Applications, held in the Department of Mathematical Sciences at Clemson University, Clemson, South Carolina on June 26-28, 1974. This book is composed of 21 chapters and starts with reviews of finding roots of polynomials by pivoting procedures and the relations between convergence and labeling in approximation algorithm. The next chapters deal with the principles of complementary pivot theory and the Markovian decision chains; the method of continuation for Brouwer fixed point calculation; a fixed point approach to stability in cooperative games; and computation of fixed points in a nonconvex region. Other chapters discuss a computational comparison of fixed point algorithms, the fundamentals of union jack triangulations, and some aspects of Mann's iterative method for approximating fixed points. The final chapters consider the application of fixed point algorithms to the analysis of tax policies and the pricing for congestion in telephone networks. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

Variational Inequalities And Complementarity Problems

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Author : Richard Cottle
language : en
Publisher: John Wiley & Sons
Release Date : 1980

Variational Inequalities And Complementarity Problems written by Richard Cottle and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Numerical Methods For Complementarity Problems In Engineering And Applied Science

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Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
language : en
Publisher:
Release Date : 1977

Numerical Methods For Complementarity Problems In Engineering And Applied Science written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

The Computation Of Fixed Points And Applications

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Author : M. J. Todd
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

The Computation Of Fixed Points And Applications written by M. J. Todd 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 Mathematics categories.

Fixed-point algorithms have diverse applications in economics, optimization, game theory and the numerical solution of boundary-value problems. Since Scarf's pioneering work [56,57] on obtaining approximate fixed points of continuous mappings, a great deal of research has been done in extending the applicability and improving the efficiency of fixed-point methods. Much of this work is available only in research papers, although Scarf's book [58] gives a remarkably clear exposition of the power of fixed-point methods. However, the algorithms described by Scarf have been super~eded by the more sophisticated restart and homotopy techniques of Merrill [~8,~9] and Eaves and Saigal [1~,16]. To understand the more efficient algorithms one must become familiar with the notions of triangulation and simplicial approxi- tion, whereas Scarf stresses the concept of primitive set. These notes are intended to introduce to a wider audience the most recent fixed-point methods and their applications. Our approach is therefore via triangu- tions. For this reason, Scarf is cited less in this manuscript than his contri- tions would otherwise warrant. We have also confined our treatment of applications to the computation of economic equilibria and the solution of optimization problems. Hansen and Koopmans [28] apply fixed-point methods to the computation of an invariant optimal capital stock in an economic growth model. Applications to game theory are discussed in Scarf [56,58], Shapley [59], and Garcia, Lemke and Luethi [24]. Allgower [1] and Jeppson [31] use fixed-point algorithms to find many solutions to boundary-value problems.

Complementarity Problems

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Author : Stephen Clyde Billups
language : en
Publisher:
Release Date : 1999

Complementarity Problems written by Stephen Clyde Billups and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Linear complementarity problem categories.

Journal Of The Korean Mathematical Society

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Author :
language : en
Publisher:
Release Date : 1997

Journal Of The Korean Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

Siam Journal On Control And Optimization

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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 1979

Siam Journal On Control And Optimization written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Automatic control categories.