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Author : Richard W. Cottle,Jong-Shi Pang,Richard E. Stone
Publisher : SIAM
Page : 781 pages
File Size : 40,9 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 9780898716863
A revised edition of the standard reference on the linear complementarity problem.
Author : Katta G. Murty
Publisher : Unknown
Page : 708 pages
File Size : 51,9 Mb
Release : 1988
Category : Linear complementarity problem
ISBN : UOM:39015013062545
Author : Michael C. Ferris,Jong-Shi Pang
Publisher : SIAM
Page : 494 pages
File Size : 40,5 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0898713919
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.
Author : Masakazu Kojima,N. Megiddo,T. Noma,Akiko Yoshise
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 49,9 Mb
Release : 1991-09-25
Category : Language Arts & Disciplines
ISBN : 3540545093
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.
Author : S. Gomez,J.P. Hennart
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 46,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401583305
In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza tion. The Workshop was organized by the Numerical Analysis Department at the Institute of Research in Applied Mathematics of the National University of Mexico in collaboration with the Mathematical Sciences Department at Rice University, as were the previous ones in 1978, 1979, 1981, 1984 and 1989. As were the third, fourth, and fifth workshops, this one was supported by a grant from the Mexican National Council for Science and Technology, and the US National Science Foundation, as part of the joint Scientific and Technical Cooperation Program existing between these two countries. The participation of many of the leading figures in the field resulted in a good representation of the state of the art in Continuous Optimization, and in an over view of several topics including Numerical Methods for Diffusion-Advection PDE problems as well as some Numerical Linear Algebraic Methods to solve related pro blems. This book collects some of the papers given at this Workshop.
Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 54,9 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583
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".
Author : Eugene L. Allgower,Kurt Georg
Publisher : American Mathematical Soc.
Page : 788 pages
File Size : 54,8 Mb
Release : 1990-04-03
Category : Mathematics
ISBN : 0821896946
Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.
Author : Katta G. Murty
Publisher : Unknown
Page : 604 pages
File Size : 48,9 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015018271919
Author : George Isac
Publisher : Springer
Page : 305 pages
File Size : 51,6 Mb
Release : 2006-11-15
Category : Science
ISBN : 9783540474913
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.
Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher : Unknown
Page : 58 pages
File Size : 40,6 Mb
Release : 1976
Category : Electronic
ISBN : STANFORD:36105046361197
Author : B. Curtis Eaves
Publisher : Unknown
Page : 176 pages
File Size : 51,5 Mb
Release : 1969
Category : Linear programming
ISBN : OCLC:227578964
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.
Author : Michael C. Ferris,Olvi L. Mangasarian,Jong-Shi Pang
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 50,7 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9781475732795
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.
Author : Richard Cottle,M. L. Balinski
Publisher : North-Holland
Page : 198 pages
File Size : 55,7 Mb
Release : 1978
Category : Fixed point theory
ISBN : OSU:32435007762040
Author : N. Sudha, R. Irene Hepzibah,A. Nagoorgani
Publisher : Infinite Study
Page : 7 pages
File Size : 49,8 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 8210379456XXX
The aim of this paper is to propose a methodology for solving Linear Complementarity Problem with Single Valued Trapezoidal Neutrosophic Numbers (SVTN). The effectiveness of the proposed method is illustrated by means of a numerical example. This problem finds many applications in several areas of science, engineering and economics.
Author : Abraham Berman,Robert J. Plemmons
Publisher : Academic Press
Page : 334 pages
File Size : 46,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483260860
Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.