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 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 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 Computational Mathematical Programming written by Karla L. Hoffman and published by . This book was released on 1987 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: An implicit enumeration procedure for the general linear complementarity problem. Recursive quadratic programming methods based on the augmented lagrangian. A primal truncated newton algorithm with application to large-scale nonlinear network optimization. Approximating some convez programs in terms of borel fields. Computer-assisted analysis for diagnosing infeasible or unbounded linear programs. Ventura, restricted simplicial decomposition: computation and extensions.A note solution on approach to linear programming problems with imprecise function and gradient values. Z; a maany, a new algorithm for highly curved constrained optimization. An implementation of an algorithm for univariate minimization and an application to nested optimization. On practical stopping rules for the simplex method. An experimental approach to karmarkar's projective method for linear programming.
Download or read book Computational Experience with an Approximative Method for Solving Large scale Linear Programming Problems written by Károly Patyi and published by . This book was released on 1972 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel and Serial Solution of Large scale Linear Complementarity Problems written by Karen M. Thompson and published by . This book was released on 1987 with total page 274 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 Computational experience in solving equilibrium models by a sequence of linear complementarity problems written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1983 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms for Continuous Optimization written by E. Spedicato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on "Algorithms for continuous optimiza tion: the state of the art" was held September 5-18, 1993, at II Ciocco, Barga, Italy. It was attended by 75 students (among them many well known specialists in optimiza tion) from the following countries: Belgium, Brasil, Canada, China, Czech Republic, France, Germany, Greece, Hungary, Italy, Poland, Portugal, Rumania, Spain, Turkey, UK, USA, Venezuela. The lectures were given by 17 well known specialists in the field, from Brasil, China, Germany, Italy, Portugal, Russia, Sweden, UK, USA. Solving continuous optimization problems is a fundamental task in computational mathematics for applications in areas of engineering, economics, chemistry, biology and so on. Most real problems are nonlinear and can be of quite large size. Devel oping efficient algorithms for continuous optimization has been an important field of research in the last 30 years, with much additional impetus provided in the last decade by the availability of very fast and parallel computers. Techniques, like the simplex method, that were already considered fully developed thirty years ago have been thoroughly revised and enormously improved. The aim of this ASI was to present the state of the art in this field. While not all important aspects could be covered in the fifty hours of lectures (for instance multiob jective optimization had to be skipped), we believe that most important topics were presented, many of them by scientists who greatly contributed to their development.
Download or read book Computing Methods in Applied Sciences and Engineering 1977 Third International Symposium December 5 9 1977 IRIA LABORIA Institut de Recherche d Informatique et d Automatique written by R. Glowinski and published by Springer. This book was released on 2006-11-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Quadratic Programming and Linear Complementarity written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1977 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental theory and algorithms of quadratic programming and linear complementarity are presented in expository form. Computational experience is reviewed. (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 Numerical Analysis of Variational Inequalities written by R. Trémolières and published by Elsevier. This book was released on 2011-08-18 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis of Variational Inequalities
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 Large Scale Linear and Integer Optimization A Unified Approach written by Richard Kipp Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook about linear and integer linear optimization. There is a growing need in industries such as airline, trucking, and financial engineering to solve very large linear and integer linear optimization problems. Building these models requires uniquely trained individuals. Not only must they have a thorough understanding of the theory behind mathematical programming, they must have substantial knowledge of how to solve very large models in today's computing environment. The major goal of the book is to develop the theory of linear and integer linear optimization in a unified manner and then demonstrate how to use this theory in a modern computing environment to solve very large real world problems. After presenting introductory material in Part I, Part II of this book is de voted to the theory of linear and integer linear optimization. This theory is developed using two simple, but unifying ideas: projection and inverse projec tion. Through projection we take a system of linear inequalities and replace some of the variables with additional linear inequalities. Inverse projection, the dual of this process, involves replacing linear inequalities with additional variables. Fundamental results such as weak and strong duality, theorems of the alternative, complementary slackness, sensitivity analysis, finite basis the orems, etc. are all explained using projection or inverse projection. Indeed, a unique feature of this book is that these fundamental results are developed and explained before the simplex and interior point algorithms are presented.
Download or read book Handbook of Global Optimization written by R. Horst and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.
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:
