Global Optimization Approach To The Linear Complementarity Problem

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Global Optimization Approach To The Linear Complementarity Problem

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Author : University of Minnesota. Supercomputer Institute
language : en
Publisher:
Release Date : 1985

Global Optimization Approach To The Linear Complementarity Problem written by University of Minnesota. Supercomputer Institute and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Topological Methods In Complementarity Theory

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Author : G. Isac
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Topological Methods In Complementarity Theory written by G. Isac and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

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.

The Linear Complementarity Problem

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Author : Richard W. Cottle
language : en
Publisher: SIAM
Release Date : 1992-01-01

The Linear Complementarity Problem written by Richard W. Cottle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.

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.

Complementarity Problems

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Author : George Isac
language : en
Publisher: Springer
Release Date : 2006-11-15

Complementarity Problems written by George Isac and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Science categories.

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.

A Reformulation Linearization Technique For Solving Discrete And Continuous Nonconvex Problems

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Author : Hanif D. Sherali
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A Reformulation Linearization Technique For Solving Discrete And Continuous Nonconvex Problems written by Hanif D. Sherali and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem. The resulting problem is subsequently linearized, except that certain convex constraints are sometimes retained in XV particular special cases, in the Linearization/Convexijication Phase. This is done via the definition of suitable new variables to replace each distinct variable-product term. The higher dimensional representation yields a linear (or convex) programming relaxation.

Integer And Separable Programming Techniques For Large Scale Global Optimization Problems

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Author : Panayote Miltiades Pardalos
language : en
Publisher:
Release Date : 1985

Integer And Separable Programming Techniques For Large Scale Global Optimization Problems written by Panayote Miltiades Pardalos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Advanced Computational Methods For Knowledge Engineering

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Author : Tien Do
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-11

Advanced Computational Methods For Knowledge Engineering written by Tien Do and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-11 with Technology & Engineering categories.

The proceedings consists of 30 papers which have been selected and invited from the submissions to the 2nd International Conference on Computer Science, Applied Mathematics and Applications (ICCSAMA 2014) held on 8-9 May, 2014 in Budapest, Hungary. The conference is organized into 7 sessions: Advanced Optimization Methods and Their Applications, Queueing Models and Performance Evaluation, Software Development and Testing, Computational Methods for Mobile and Wireless Networks, Computational Methods for Knowledge Engineering, Logic Based Methods for Decision Making and Data Mining and Nonlinear Systems and Applications, respectively. All chapters in the book discuss theoretical and practical issues connected with computational methods and optimization methods for knowledge engineering. The editors hope that this volume can be useful for graduate and Ph.D. students and researchers in Computer Science and Applied Mathematics. It is the hope of the editors that readers of this volume can find many inspiring ideas and use them to their research. Many such challenges are suggested by particular approaches and models presented in individual chapters of this book.

Global Optimization

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Author : Reiner Horst
language : en
Publisher:
Release Date : 1993

Global Optimization written by Reiner Horst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

State Of The Art In Global Optimization

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Author : Christodoulos A. Floudas
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-02-29

State Of The Art In Global Optimization written by Christodoulos A. Floudas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-29 with Language Arts & Disciplines categories.

Papers from the April 1995 title conference, held at Princeton University, present current research on global optimization and related applications in science and engineering, highlighting the use of new algorithms for solving large classes of problems in areas such as computational chemistry and biology, structural optimization, and operations research. Topics include Lagrange duality in partly convex programming, global optimization using hyperbolic cross points, and adaptive control via non-convex optimization. Of interest to students and researchers in optimization, engineering, mathematics, and computer sciences. No index. Annotation copyright by Book News, Inc., Portland, OR

Constrained Global Optimization Algorithms And Applications

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Author : Panos M. Pardalos
language : en
Publisher: Springer
Release Date : 1987-07-15

Constrained Global Optimization Algorithms And Applications written by Panos M. Pardalos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-07-15 with Mathematics categories.

Global optimization is concerned with the characterization and computation of global minima or maxima of nonlinear functions. Such problems are widespread in mathematical modeling of real world systems for a very broad range of applications. The applications include economies of scale, fixed charges, allocation and location problems, quadratic assignment and a number of other combinatorial optimization problems. More recently it has been shown that certain aspects of VLSI chip design and database problems can be formulated as constrained global optimization problems with a quadratic objective function. Although standard nonlinear programming algorithms will usually obtain a local minimum to the problem , such a local minimum will only be global when certain conditions are satisfied (such as f and K being convex).