Complementarity: Applications, Algorithms and Extensions
Title | Complementarity: Applications, Algorithms and Extensions PDF eBook |
Author | Michael C. Ferris |
Publisher | Springer Science & Business Media |
Pages | 400 |
Release | 2013-03-09 |
Genre | Computers |
ISBN | 1475732791 |
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.
Finite-Dimensional Variational Inequalities and Complementarity Problems
Title | Finite-Dimensional Variational Inequalities and Complementarity Problems PDF eBook |
Author | Francisco Facchinei |
Publisher | Springer Science & Business Media |
Pages | 698 |
Release | 2007-06-04 |
Genre | Business & Economics |
ISBN | 0387218157 |
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.
Variational Analysis and Applications
Title | Variational Analysis and Applications PDF eBook |
Author | Franco Giannessi |
Publisher | Springer Science & Business Media |
Pages | 1163 |
Release | 2007-03-06 |
Genre | Mathematics |
ISBN | 0387242767 |
This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.
Linear Complementarity, Linear and Nonlinear Programming
Title | Linear Complementarity, Linear and Nonlinear Programming PDF eBook |
Author | Katta G. Murty |
Publisher | |
Pages | 708 |
Release | 1988 |
Genre | Linear complementarity problem |
ISBN |
The Theory and Applications of Iteration Methods
Title | The Theory and Applications of Iteration Methods PDF eBook |
Author | Ioannis K. Argyros |
Publisher | CRC Press |
Pages | 471 |
Release | 2022-01-20 |
Genre | Mathematics |
ISBN | 1000536750 |
The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.
Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1
Title | Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1 PDF eBook |
Author | Dmitri Koroliouk |
Publisher | John Wiley & Sons |
Pages | 452 |
Release | 2024-04-16 |
Genre | Science |
ISBN | 1394284330 |
Mathematical methods in engineering are characterized by a wide range of techniques for approaching various problems. Moreover, completely different analysis techniques can be applied to the same problem, which is justified by the difference in specific applications. Therefore, the study of the analyses and solutions of specific problems leads the researcher to generate their own techniques for the analysis of similar problems continuously arising in the process of technical development. Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications contains solutions to specific problems in current areas of computational engineering and cyberphysics.
Computing and Intelligent Systems
Title | Computing and Intelligent Systems PDF eBook |
Author | Yanwen Wu |
Publisher | Springer |
Pages | 549 |
Release | 2011-08-30 |
Genre | Computers |
ISBN | 3642240917 |
This six-volume-set (CCIS 231, 232, 233, 234, 235, 236) constitutes the refereed proceedings of the International Conference on Computing, Information and Control, ICCIC 2011, held in Wuhan, China, in September 2011. The papers are organized in two volumes on Innovative Computing and Information (CCIS 231 and 232), two volumes on Computing and Intelligent Systems (CCIS 233 and 234), and in two volumes on Information and Management Engineering (CCIS 235 and 236).