The Linear Complementarity Problem

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Publisher : SIAM
ISBN 13 : 0898716861
Total Pages : 781 pages
Book Rating : 4.63/5 ( 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.

Linear Complementarity, Linear and Nonlinear Programming

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Publisher :
ISBN 13 :
Total Pages : 708 pages
Book Rating : 4.45/5 ( 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:

Advances in Optimization and Numerical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9401583307
Total Pages : 285 pages
Book Rating : 4.05/5 ( download)

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Book Synopsis Advances in Optimization and Numerical Analysis by : S. Gomez

Download or read book Advances in Optimization and Numerical Analysis written by S. Gomez and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.83/5 ( 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".

Computational Solution of Nonlinear Systems of Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821896945
Total Pages : 788 pages
Book Rating : 4.46/5 ( 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 and Combinatorial Programming

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Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.19/5 ( download)

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Book Synopsis Linear and Combinatorial Programming by : Katta G. Murty

Download or read book Linear and Combinatorial Programming written by Katta G. Murty and published by . This book was released on 1985 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540545095
Total Pages : 124 pages
Book Rating : 4.93/5 ( download)

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Book Synopsis A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems by : Masakazu Kojima

Download or read book A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems written by Masakazu Kojima and published by Springer Science & Business Media. This book was released on 1991-09-25 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Interior Point Algorithms

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Publisher : John Wiley & Sons
ISBN 13 : 1118030958
Total Pages : 440 pages
Book Rating : 4.50/5 ( 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.

Complementarity and Variational Problems

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Publisher : SIAM
ISBN 13 : 9780898713916
Total Pages : 494 pages
Book Rating : 4.19/5 ( download)

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Book Synopsis Complementarity and Variational Problems by : Michael C. Ferris

Download or read book Complementarity and Variational Problems written by Michael C. Ferris and published by SIAM. This book was released on 1997-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Economic Foundations of Symmetric Programming

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Publisher : Cambridge University Press
ISBN 13 : 1139492292
Total Pages : 569 pages
Book Rating : 4.94/5 ( download)

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Book Synopsis Economic Foundations of Symmetric Programming by : Quirino Paris

Download or read book Economic Foundations of Symmetric Programming written by Quirino Paris and published by Cambridge University Press. This book was released on 2010-11-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This book represents an attempt to explore this possibility. The behavior of price-taking producers, monopolists, monopsonists, sectoral market equilibria, behavior under risk and uncertainty, and two-person zero- and non-zero-sum games are analyzed and discussed under the unifying structure called the linear complementarity problem. Furthermore, the equilibrium problem allows for the relaxation of often-stated but unnecessary assumptions. This unifying approach offers the advantage of a better understanding of the structure of economic models. It also introduces the simplest and most elegant algorithm for solving a wide class of problems.