Complementarity and Variational Problems

Complementarity and Variational Problems PDF

Author: Michael C. Ferris

Publisher: SIAM

Published: 1997-01-01

Total Pages: 494

ISBN-13: 9780898713916

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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.

Finite-Dimensional Variational Inequalities and Complementarity Problems

Finite-Dimensional Variational Inequalities and Complementarity Problems PDF

Author: Francisco Facchinei

Publisher: Springer Science & Business Media

Published: 2007-06-14

Total Pages: 724

ISBN-13: 0387218149

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This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of 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.

Complementarity and Variational Problems

Complementarity and Variational Problems PDF

Author: Stanford University. Department of Operations Research. Systems Optimization Laboratory

Publisher:

Published: 1974

Total Pages: 68

ISBN-13:

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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).

Nonlinear Analysis and Variational Problems

Nonlinear Analysis and Variational Problems PDF

Author: Panos M. Pardalos

Publisher: Springer Science & Business Media

Published: 2009-10-20

Total Pages: 502

ISBN-13: 1441901582

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The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Newton-Type Methods for Optimization and Variational Problems

Newton-Type Methods for Optimization and Variational Problems PDF

Author: Alexey F. Izmailov

Publisher: Springer

Published: 2014-07-08

Total Pages: 587

ISBN-13: 3319042475

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This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.

Complementarity Problems

Complementarity Problems PDF

Author: George Isac

Publisher: Springer

Published: 2006-11-15

Total Pages: 305

ISBN-13: 3540474919

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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.

Variational Inequalities and Network Equilibrium Problems

Variational Inequalities and Network Equilibrium Problems PDF

Author: F. Giannessi

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 304

ISBN-13: 1489913580

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This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.

Topological Methods in Complementarity Theory

Topological Methods in Complementarity Theory PDF

Author: G. Isac

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 691

ISBN-13: 1475731418

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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.