Download or read book On the Solution of Large Structured Linear Complementarity Problems II written by Stanford University. Department of Operations Research. Operations Research House and published by . This book was released on 1973 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an earlier paper, R.W. Cottle and the author proposed a special principal pivoting algorithm for a class of large, structured linear complementarity problems. The method was applied with encouraging results to data relating to the free boundary problem for infinite journal bearings. The purpose of the present paper is to compare the empirical performance of the principal pivoting method with that of two other pertinent methods. One of the latter employs LU factorizations and is adaptive in the sense that each iteration exploits the factorization associated with its predecessor. The other is a modification of the point successive overrelaxation technique. Recommendations based on the reported computational experience are made. (Author).
Download or read book On the Solution of Large Structured Linear Complementarity Problems written by Richard Steven Sacher and published by . This book was released on 1974 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Solution of Large Structured Linear Complementarity Problems III written by Stanford University. Computer Science Department and published by . This book was released on 1974 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Solution of Large Structured Linear Complementarity Problems written by Richard Cottle and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Solution of Large Structured Linear Complementarity Problems written by Richard Steven Sacher and published by . This book was released on 1973 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: The literature of linear complementarity theory has yet to meet the challenge of large-scale programming. The paper delineates the underlying theory and an efficient method for solving a class of specially-structured linear complementarity problems of potentially very large size. Problems of the type considered arise, for example, in solving an approximation of the free boundary problem for infinite journal bearings. This application and computational experience with the method are presented here. (Author).
Download or read book Computational Experience with Large scale Linear Complementarity Problems written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1974 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper contains a brief summary of some computational experience acquired by the Systems Optimization Laboratory at Stanford University on linear complementarity problems of intermediate to large size. (Author).
Download or read book The Linear Complementarity Problem written by Richard W. Cottle and published by SIAM. This book was released on 2009-08-27 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition of the standard reference on the linear complementarity problem.
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Download or read book The Linear Complementarity Problem written by Richard W. Cottle and published by SIAM. This book was released on 1992-01-01 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Complementarity Problems written by George Isac and published by Springer. This book was released on 2006-11-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of complementarity problems is now an interesting mathematical subject with many applications in optimization, game theory, stochastic optimal control, engineering, economics etc. This subject has deep relations with important domains of fundamental mathematics such as fixed point theory, ordered spaces, nonlinear analysis, topological degree, the study of variational inequalities and also with mathematical modeling and numerical analysis. Researchers and graduate students interested in mathematical modeling or nonlinear analysis will find here interesting and fascinating results.
Download or read book On the structure of the solution set of a linear complementarity problem written by M. J. M. Jansen and published by . This book was released on 1981 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fixed Points written by Stepan Karamardian and published by Academic Press. This book was released on 2014-05-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Topological Methods in Complementarity Theory written by G. Isac and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods. Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.
Download or read book Nonlinear Programming 3 written by Olvi L. Mangasarian and published by Academic Press. This book was released on 2014-05-10 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Programming 3 covers the proceedings of the Special Interest Group on Mathematical Programming Symposium conducted by the Computer Sciences Department at the University of Wisconsin, Madison, on July 11-13, 1977. This book is composed of 17 chapters. The first eight chapters describe some of the most effective methods available for solving linearly and nonlinearly constrained optimization problems. The subsequent chapter gives algorithms for the solution of nonlinear equations together with computational experience. Other chapters provide some applications of optimization in operations research and a measurement procedure for optimization algorithm efficiency. These topics are followed by discussion of the methods for solving large quadratic programs and algorithms for solving stationary and fixed point problems. The last chapters consider the minimization of certain types of nondifferentiable functions and a type of Newton method. This book will prove useful to mathematicians and computer scientists.
Download or read book Complementarity and Variational Problems written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1974 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper gives a survey of results on the complemtarity problem, variational inequalities and related mathematical concepts. Two applications of large scale linear complementarity and related computational experience are also given. (Author).
Download or read book On the Solution of Some parametric Linear Complementarity Problems with Applications to Portfolio Analysis Structural Engineering and Graduation written by Jong-Shi Pang and published by . This book was released on 1977 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses three important applications of a class of (parametric) linear complementarity problems arising independently from such diverse areas as portfolio analysis, structural engineering and graduation. After explaining how the complementarity problems emerge in these applications, some analytical comparisons (based on operation counts and storage requirements) of several existing algorithms are performed for solving this class of complementarity problems. Computational results to support the analytical comparisons are presented and some conclusions drawn about the general performance of these algorithms.
Download or read book Linear Complementarity Linear and Nonlinear Programming written by Katta G. Murty and published by . This book was released on 1988 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
