Reformulation Nonsmooth Piecewise Smooth Semismooth And Smoothing Methods

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Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Author : Masao Fukushima
Publisher : Springer Science & Business Media
ISBN 13 : 1475763883
Total Pages : 440 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods by : Masao Fukushima

Download or read book Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods written by Masao Fukushima and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.

Progress in Optimization

Author : Andrew Eberhard
Publisher : Springer Science & Business Media
ISBN 13 : 1461332850
Total Pages : 309 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Progress in Optimization by : Andrew Eberhard

Download or read book Progress in Optimization written by Andrew Eberhard and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the monograph Progress in Optimization I: Contributions from Aus tralasia grew from the idea of publishing a proceedings of the Fourth Optimiza tion Day, held in July 1997 at the Royal Melbourne Institute of Technology, the focus soon changed to a refereed volume in optimization. The intention is to publish a similar book annually, following each Optimization Day. The idea of having an annual Optimization Day was conceived by Barney Glover; the first of these Optimization Days was held in 1994 at the University of Ballarat. Barney hoped that such a yearly event would bring together the many, but widely dispersed, researchers in Australia who were publishing in optimization and related areas such as control. The first Optimization Day event was followed by similar conferences at The University of New South Wales (1995), The University of Melbourne (1996), the Royal Melbourne Institute of Technology (1997), and The University of Western Australia (1998). The 1999 conference will return to Ballarat University, being organized by Barney's long-time collaborator Alex Rubinov. In recent years the Optimization Day has been held in conjunction with other locally-held national or international conferences. This has widened the scope of the monograph with contributions not only coming from researchers in Australia and neighboring regions but also from their collaborators in Europe and North America.

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

Author : Michael Ulbrich
Publisher : SIAM
ISBN 13 : 1611970687
Total Pages : 315 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces by : Michael Ulbrich

Download or read book Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces written by Michael Ulbrich and published by SIAM. This book was released on 2011-07-28 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.

Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization

Author : Said Melliani
Publisher : Springer Nature
ISBN 13 : 3031124162
Total Pages : 496 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization by : Said Melliani

Download or read book Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization written by Said Melliani and published by Springer Nature. This book was released on 2022-08-10 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.

Numerical Methods for Nonsmooth Dynamical Systems

Author : Vincent Acary
Publisher : Springer Science & Business Media
ISBN 13 : 3540753923
Total Pages : 529 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Numerical Methods for Nonsmooth Dynamical Systems by : Vincent Acary

Download or read book Numerical Methods for Nonsmooth Dynamical Systems written by Vincent Acary and published by Springer Science & Business Media. This book was released on 2008-01-30 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.

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".

Variational Analysis and Applications

Author : F. Giannessi
Publisher : Springer Science & Business Media
ISBN 13 : 9780387242095
Total Pages : 1348 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Variational Analysis and Applications by : F. Giannessi

Download or read book Variational Analysis and Applications written by F. Giannessi and published by Springer Science & Business Media. This book was released on 2005-06-14 with total page 1348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a new discipline, variational analysis, which contains the calculus of variations, differential calculus, optimization, and variational inequalities. To such classic branches of mathematics, variational analysis provides a uniform theoretical base that represents a powerful tool for the applications. The contributors are among the best experts in the field. Audience The target audience of this book includes scholars in mathematics (especially those in mathematical analysis), mathematical physics and applied mathematics, calculus of variations, optimization and operations research, industrial mathematics, structural engineering, and statistics and economics.

Nonsmooth Mechanics and Convex Optimization

Author : Yoshihiro Kanno
Publisher : CRC Press
ISBN 13 : 1420094246
Total Pages : 439 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Nonsmooth Mechanics and Convex Optimization by : Yoshihiro Kanno

Download or read book Nonsmooth Mechanics and Convex Optimization written by Yoshihiro Kanno and published by CRC Press. This book was released on 2011-04-05 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book concerns matter that is intrinsically difficult: convex optimization, complementarity and duality, nonsmooth analysis, linear and nonlinear programming, etc. The author has skillfully introduced these and many more concepts, and woven them into a seamless whole by retaining an easy and consistent style throughout. The book is not all the

Advanced Topics in Nonsmooth Dynamics

Author : Remco Leine
Publisher : Springer
ISBN 13 : 3319759728
Total Pages : 462 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advanced Topics in Nonsmooth Dynamics by : Remco Leine

Download or read book Advanced Topics in Nonsmooth Dynamics written by Remco Leine and published by Springer. This book was released on 2018-06-07 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses emerging topics in the area of nonsmooth dynamics research, such as numerical methods for nonsmooth systems, impact laws for multi-collisions, nonlinear vibrations and control of nonsmooth systems. It documents original work of researchers at the European Network for NonSmooth Dynamics (ENNSD), which provides a cooperation platform for researchers in the field and promotes research focused on nonsmooth dynamics and its applications. Since the establishment of the network in 2012, six ENNSD symposia have been organized at different European locations. The network brings together 40 specialists from 9 different countries in and outside Europe and a wealth of scientific knowledge has been gathered and developed by this group of experts in recent years. The book is of interest to both new and experienced researchers in the field of nonsmooth dynamics. Each chapter is written in such a way as to provide an introduction to the topic for researchers from other fields.

Nonsmooth/Nonconvex Mechanics

Author : David Yang Gao
Publisher : Springer Science & Business Media
ISBN 13 : 1461302757
Total Pages : 505 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Nonsmooth/Nonconvex Mechanics by : David Yang Gao

Download or read book Nonsmooth/Nonconvex Mechanics written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth and nonconvex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi- static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering.

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.

Nonlinear Optimization and Related Topics

Author : Gianni Pillo
Publisher : Springer Science & Business Media
ISBN 13 : 1475732260
Total Pages : 484 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Optimization and Related Topics by : Gianni Pillo

Download or read book Nonlinear Optimization and Related Topics written by Gianni Pillo and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchia" School of Mathematics of the "E. Majorana" Centre for Scientific Culture, June 23 -July 2, 1998. In the tradition of these meetings, the main purpose was to review and discuss recent advances and promising research trends concerning theory, algorithms and innovative applications in the field of Nonlinear Optimization, and of related topics such as Convex Optimization, Nonsmooth Optimization, Variational Inequalities and Complementarity Problems. The meeting was attended by 83 people from 21 countries. Besides the lectures, several formal and informal discussions took place. The result was a wide and deep knowledge of the present research tendencies in the field. We wish to express our appreciation for the active contribution of all the par ticipants in the meeting. Our gratitude is due to the Ettore Majorana Centre in Erice, which offered its facilities and rewarding environment: its staff was certainly instrumental for the success of the meeting. Our gratitude is also due to Francisco Facchinei and Massimo Roma for the effort and time devoted as members of the Organising Committee. We are indebted to the Italian National Research Council, and in particular to the Group on Functional Analysis and its Applications and to the Committees on Engineering Sciences and on Information Sciences and Technolo gies for their financial support. Finally, we address our thanks to Kluwer Academic Publishers for having offered to publish this volume.

Computational Optimization

Author : Jong-Shi Pang
Publisher : Springer Science & Business Media
ISBN 13 : 1461551978
Total Pages : 266 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Computational Optimization by : Jong-Shi Pang

Download or read book Computational Optimization written by Jong-Shi Pang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field. This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarity-constrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes: Algorithmic advances for special classes of constrained optimization problems Analysis of linear and nonlinear programs Algorithmic advances B- stationary points of mathematical programs with equilibrium constraints Applications of optimization Some mathematical topics Systems of nonlinear equations.

Topics in Numerical Analysis

Author : G. Alefeld
Publisher : Springer Science & Business Media
ISBN 13 : 3709162173
Total Pages : 253 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Topics in Numerical Analysis by : G. Alefeld

Download or read book Topics in Numerical Analysis written by G. Alefeld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eighteen papers submitted in celebration of the sixty-fifth birthday of Professor Tetsuro Yamamoto of Ehime University. Professor Yamamoto was born in Tottori, Japan on January 4, 1937. He obtained his B. S. and M. S. in mathematics from Hiroshima University in 1959 and 1961, respec tively. In 1966, he took a lecturer position in the Department of Mathematics, Faculty of General Education, Hiroshima University and obtained his Ph. D. degree from Hiroshima University two years later. In 1969, he moved to the Department of Applied Mathematics, Faculty of Engineering, Ehime University as an associate professor and he has been a full professor of the Department of Mathematics (now Department of Mathematical Sciences), Faculty of Science, since 1975. At the early stage of his study, he was interested in algebraic eigen value problems and linear iterative methods. He published some papers on these topics in high level international journals. After moving to Ehime University, he started his research on Newton's method and Newton-like methods for nonlinear operator equations. He published many papers on error estimates of the methods. He established the remarkable result that all the known error bounds for Newton's method under the Kantorovich assumptions follow from the Newton-Kantorovich theorem, which put a period to the race of finding sharper error bounds for Newton's method.

Trust Region Methods

Author : A. R. Conn
Publisher : SIAM
ISBN 13 : 0898719852
Total Pages : 978 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Trust Region Methods by : A. R. Conn

Download or read book Trust Region Methods written by A. R. Conn and published by SIAM. This book was released on 2000-01-01 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization.

Complementarity, Equilibrium, Efficiency and Economics

Author : G. Isac
Publisher : Springer Science & Business Media
ISBN 13 : 1475736231
Total Pages : 458 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Complementarity, Equilibrium, Efficiency and Economics by : G. Isac

Download or read book Complementarity, Equilibrium, Efficiency and Economics written by G. Isac and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.

System Modeling and Optimization XX

Author : E.W. Sachs
Publisher : Springer
ISBN 13 : 0387356991
Total Pages : 334 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis System Modeling and Optimization XX by : E.W. Sachs

Download or read book System Modeling and Optimization XX written by E.W. Sachs and published by Springer. This book was released on 2013-03-14 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: System Modeling and Optimization XX deals with new developments in the areas of optimization, optimal control and system modeling. The themes range across various areas of optimization: continuous and discrete, numerical and analytical, finite and infinite dimensional, deterministic and stochastic, static and dynamic, theory and applications, foundations and case studies. Besides some classical topics, modern areas are also presented in the contributions, including robust optimization, filter methods, optimization of power networks, data mining and risk control. This volume contains invited and selected papers from presentations at the 20th IFIP TC7 Conference on System Modeling and Optimization, which took place at the University of Trier, Germany from July 23 to 27, 2001, and which was sponsored by the International Federation for Information Processing (IFIP).