Fixed Point Methods For The Complementarity Problem

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Computational Solution of Nonlinear Systems of Equations

Author : Eugene L. Allgower
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896945
Total Pages : 788 pages
Book Rating : 4.8/5 (969 download)

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Book Synopsis Computational Solution of Nonlinear Systems of Equations by : Eugene L. Allgower

Download or read book Computational Solution of Nonlinear Systems of Equations written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1990-04-03 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Complementarity, Linear and Nonlinear Programming

Author : Katta G. Murty
Publisher :
ISBN 13 :
Total Pages : 708 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Complementarity, Linear and Nonlinear Programming by : Katta G. Murty

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:

Topological Methods in Complementarity Theory

Author : G. Isac
Publisher : Springer Science & Business Media
ISBN 13 : 1475731418
Total Pages : 691 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Topological Methods in Complementarity Theory by : G. Isac

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.

Interior Point Algorithms

Author : Yinyu Ye
Publisher : John Wiley & Sons
ISBN 13 : 1118030958
Total Pages : 440 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Interior Point Algorithms by : Yinyu Ye

Download or read book Interior Point Algorithms written by Yinyu Ye and published by John Wiley & Sons. This book was released on 2011-10-11 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive review of the theory and practice of one oftoday's most powerful optimization techniques. The explosive growth of research into and development of interiorpoint algorithms over the past two decades has significantlyimproved the complexity of linear programming and yielded some oftoday's most sophisticated computing techniques. This book offers acomprehensive and thorough treatment of the theory, analysis, andimplementation of this powerful computational tool. Interior Point Algorithms provides detailed coverage of all basicand advanced aspects of the subject. Beginning with an overview offundamental mathematical procedures, Professor Yinyu Ye movesswiftly on to in-depth explorations of numerous computationalproblems and the algorithms that have been developed to solve them.An indispensable text/reference for students and researchers inapplied mathematics, computer science, operations research,management science, and engineering, Interior Point Algorithms: * Derives various complexity results for linear and convexprogramming * Emphasizes interior point geometry and potential theory * Covers state-of-the-art results for extension, implementation,and other cutting-edge computational techniques * Explores the hottest new research topics, including nonlinearprogramming and nonconvex optimization.

Finite-Dimensional Variational Inequalities and Complementarity Problems

Author : Francisco Facchinei
Publisher : Springer Science & Business Media
ISBN 13 : 0387218157
Total Pages : 698 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Finite-Dimensional Variational Inequalities and Complementarity Problems by : Francisco Facchinei

Download or read book Finite-Dimensional Variational Inequalities and Complementarity Problems written by Francisco Facchinei and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.

Fixed Point Theory and Applications

Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781590331897
Total Pages : 220 pages
Book Rating : 4.3/5 (318 download)

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Book Synopsis Fixed Point Theory and Applications by : Yeol Je Cho

Download or read book Fixed Point Theory and Applications written by Yeol Je Cho and published by Nova Publishers. This book was released on 2002 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory & Applications Volume II

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

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".

Complementarity Problems

Author : George Isac
Publisher : Springer
ISBN 13 : 3540474919
Total Pages : 305 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Complementarity Problems by : George Isac

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.

An Introduction to Nonlinear Analysis and Fixed Point Theory

Author : Hemant Kumar Pathak
Publisher : Springer
ISBN 13 : 9811088667
Total Pages : 845 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis An Introduction to Nonlinear Analysis and Fixed Point Theory by : Hemant Kumar Pathak

Download or read book An Introduction to Nonlinear Analysis and Fixed Point Theory written by Hemant Kumar Pathak and published by Springer. This book was released on 2018-05-19 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines. Nonlinear analysis is characterised by its applications in numerous interdisciplinary fields, ranging from engineering to space science, hydromechanics to astrophysics, chemistry to biology, theoretical mechanics to biomechanics and economics to stochastic game theory. Organised into ten chapters, the book shows the elegance of the subject and its deep-rooted concepts and techniques, which provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in diverse applied fields. It is intended for graduate and undergraduate students of mathematics and engineering who are familiar with discrete mathematical structures, differential and integral equations, operator theory, measure theory, Banach and Hilbert spaces, locally convex topological vector spaces, and linear functional analysis.

Introduction to Numerical Continuation Methods

Author : Eugene L. Allgower
Publisher : SIAM
ISBN 13 : 089871544X
Total Pages : 409 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Introduction to Numerical Continuation Methods written by Eugene L. Allgower and published by SIAM. This book was released on 2003-01-01 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. Introduction to Numerical Continuation Methods also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals.

Introduction to Quantitative Macroeconomics Using Julia

Author : Petre Caraiani
Publisher : Academic Press
ISBN 13 : 0128135123
Total Pages : 240 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Introduction to Quantitative Macroeconomics Using Julia by : Petre Caraiani

Download or read book Introduction to Quantitative Macroeconomics Using Julia written by Petre Caraiani and published by Academic Press. This book was released on 2018-08-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Quantitative Macroeconomics Using Julia: From Basic to State-of-the-Art Computational Techniques facilitates access to fundamental techniques in computational and quantitative macroeconomics. It focuses on the recent and very promising software, Julia, which offers a MATLAB-like language at speeds comparable to C/Fortran, also discussing modeling challenges that make quantitative macroeconomics dynamic, a key feature that few books on the topic include for macroeconomists who need the basic tools to build, solve and simulate macroeconomic models. This book neatly fills the gap between intermediate macroeconomic books and modern DSGE models used in research. - Combines an introduction to Julia, with the specific needs of macroeconomic students who are interested in DSGE models and PhD students and researchers interested in building DSGE models - Teaches fundamental techniques in quantitative macroeconomics by introducing theoretical elements of key macroeconomic models and their potential algorithmic implementations - Exposes researchers working in macroeconomics to state-of-the-art computational techniques for simulating and solving DSGE models

The Linear Complementarity Problem

Author : Richard W. Cottle
Publisher : SIAM
ISBN 13 : 0898716861
Total Pages : 781 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Linear Complementarity Problem by : Richard W. Cottle

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.

Mathematical Programming for Operations Researchers and Computer Scientists

Author : Albert G. Holzman
Publisher : CRC Press
ISBN 13 : 100014612X
Total Pages : 393 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mathematical Programming for Operations Researchers and Computer Scientists by : Albert G. Holzman

Download or read book Mathematical Programming for Operations Researchers and Computer Scientists written by Albert G. Holzman and published by CRC Press. This book was released on 2020-11-26 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamentals of linear programming, extension of linear programming to discrete optimization methods, multi-objective functions, quadratic programming, geometric programming, and classical calculus methods for solving nonlinear programming problems.

Iterative Solution of Large Linear Systems

Author : David M. Young
Publisher : Elsevier
ISBN 13 : 1483274136
Total Pages : 599 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Iterative Solution of Large Linear Systems by : David M. Young

Download or read book Iterative Solution of Large Linear Systems written by David M. Young and published by Elsevier. This book was released on 2014-05-10 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative Solution of Large Linear Systems describes the systematic development of a substantial portion of the theory of iterative methods for solving large linear systems, with emphasis on practical techniques. The focal point of the book is an analysis of the convergence properties of the successive overrelaxation (SOR) method as applied to a linear system where the matrix is "consistently ordered". Comprised of 18 chapters, this volume begins by showing how the solution of a certain partial differential equation by finite difference methods leads to a large linear system with a sparse matrix. The next chapter reviews matrix theory and the properties of matrices, as well as several theorems of matrix theory without proof. A number of iterative methods, including the SOR method, are then considered. Convergence theorems are also given for various iterative methods under certain assumptions on the matrix A of the system. Subsequent chapters deal with the eigenvalues of the SOR method for consistently ordered matrices; the optimum relaxation factor; nonstationary linear iterative methods; and semi-iterative methods. This book will be of interest to students and practitioners in the fields of computer science and applied mathematics.

Numerical Methods for Linear Complementarity Problems in Physics-Based Animation

Author : Sarah Niebe
Publisher : Springer Nature
ISBN 13 : 3031795644
Total Pages : 151 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Numerical Methods for Linear Complementarity Problems in Physics-Based Animation by : Sarah Niebe

Download or read book Numerical Methods for Linear Complementarity Problems in Physics-Based Animation written by Sarah Niebe and published by Springer Nature. This book was released on 2022-05-31 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear complementarity problems (LCPs) have for many years been used in physics-based animation to model contact forces between rigid bodies in contact. More recently, LCPs have found their way into the realm of fluid dynamics. Here, LCPs are used to model boundary conditions with fluid-wall contacts. LCPs have also started to appear in deformable models and granular simulations. There is an increasing need for numerical methods to solve the resulting LCPs with all these new applications. This book provides a numerical foundation for such methods, especially suited for use in computer graphics. This book is mainly intended for a researcher/Ph.D. student/post-doc/professor who wants to study the algorithms and do more work/research in this area. Programmers might have to invest some time brushing up on math skills, for this we refer to Appendices A and B. The reader should be familiar with linear algebra and differential calculus. We provide pseudo code for all the numerical methods, which should be comprehensible by any computer scientist with rudimentary programming skills. The reader can find an online supplementary code repository, containing Matlab implementations of many of the core methods covered in these notes, as well as a few Python implementations [Erleben, 2011]. Table of Contents: Introduction / Numerical Methods / Guide for Software and Selecting Methods / Bibliography / Authors' Biographies

Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities

Author : George Isac
Publisher : Springer Science & Business Media
ISBN 13 : 0387329005
Total Pages : 346 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities by : George Isac

Download or read book Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities written by George Isac and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics. The ideas and method presented in this book may be considered as a starting point for new developments. The book presents a new kind of application for the Leray–Schauder principle.

Fixed Points

Author : Stepan Karamardian
Publisher : Academic Press
ISBN 13 : 1483261131
Total Pages : 505 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Fixed Points by : Stepan Karamardian

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.