Recent Developments In Optimization Theory And Nonlinear Analysis

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Recent Developments in Optimization Theory and Nonlinear Analysis

Yair Censor,Simeon Reich
Recent Developments in Optimization Theory and Nonlinear Analysis Book PDF

Author : Yair Censor,Simeon Reich
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 53,7 Mb
Release : 1997
Category : Analyse fonctionnelle non linéaire - Congrès
ISBN : 9780821805152

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Recent Developments in Optimization Theory and Nonlinear Analysis by Yair Censor,Simeon Reich Pdf

This volume contains the refereed proceedings of the special session on Optimization and Nonlinear Analysis held at the Joint American Mathematical Society-Israel Mathematical Union Meeting which took place at the Hebrew University of Jerusalem in May 1995. Most of the papers in this book originated from the lectures delivered at this special session. In addition, some participants who didn't present lectures and invited speakers who were unable to attend contributed their work. The fields of optimization theory and nonlinear analysis continue to be very active. This book presents not only the wide spectrum and diversity of the results, but also their manifold connections to other areas, such as differential equations, functional analysis, operator theory, calculus of variations, numerical analysis, and mathematical programming. In reading this book one encounters papers that deal, for example, with convex, quasiconvex and generalized convex functions, fixed and periodic points, fractional-linear transformations, moduli of convexity, monontone operators, Morse lemmas, Navier-Stokes equations, nonexpansive maps, nonsmooth analysis, numerical stability, products of projections, steepest descent, the Leray-Schauder degree, the turnpike property, and variational inequalities.

Recent Advances in Nonlinear Analysis and Optimization with Applications

Savin Treanţă
Recent Advances in Nonlinear Analysis and Optimization with Applications Book PDF

Author : Savin Treanţă
Publisher : Cambridge Scholars Publishing
Page : 146 pages
File Size : 46,5 Mb
Release : 2020-09-30
Category : Mathematics
ISBN : 9781527560383

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Recent Advances in Nonlinear Analysis and Optimization with Applications by Savin Treanţă Pdf

This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.

Recent Trends in Optimization Theory and Applications

Ratan Prakash Agarwal,Ravi P. Agarwal
Recent Trends in Optimization Theory and Applications Book PDF

Author : Ratan Prakash Agarwal,Ravi P. Agarwal
Publisher : World Scientific
Page : 506 pages
File Size : 50,9 Mb
Release : 1995
Category : Science
ISBN : 981022382X

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Recent Trends in Optimization Theory and Applications by Ratan Prakash Agarwal,Ravi P. Agarwal Pdf

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. This volume contains 30 research articles on the theory of optimization and its applications by the leading scientists in the field. It is hoped that the material in the present volume will open new vistas in research.Contributors: B D O Anderson, M Bertaja, O J Boxma, O Burdakov, A Cantoni, D J Clements, B D Craven, J B Cruz, Jr., P Diamond, S V Drakunov, Y G Evtushenko, N M Filatov, I Galligani, J C Geromel, F Giannessi, M J Grimble, G O Guardabassi, D-W Gu, C H Houpis, D G Hull, C Itiki, X Jian, M A Johnson, R E Kalaba, J C Kalkkuhl, M R Katebi, T J Kim, P Kloeden, T Kobylarz, A J Laub, C S Lee, G Leitmann, B-G Liu, J Liu, Z-Q Luo, K A Lurie, P Maponi, J B Matson, A Mess, G Pacelli, M Pachter, I Postlethwaite, T Rapcsak, M C Recchioni, Y Sakawa, S V Savastyuk, K Schittkowski, Y Shi, M A Sikora, D D Siljak, K L Teo, C Tovey, P Tseng, F E Udwadia, H Unbehauen, A Vladimirov, B Vo, J F Whidborne, R Xu, P L Yu, V G Zhadan, F Zirilli.

Recent Advances in Optimization and its Applications in Engineering

Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Recent Advances in Optimization and its Applications in Engineering Book PDF

Author : Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 51,6 Mb
Release : 2010-09-21
Category : Technology & Engineering
ISBN : 9783642125980

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Recent Advances in Optimization and its Applications in Engineering by Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels Pdf

Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

Nonlinear Analysis

Qamrul Hasan Ansari
Nonlinear Analysis Book PDF

Author : Qamrul Hasan Ansari
Publisher : Springer
Page : 352 pages
File Size : 46,7 Mb
Release : 2014-06-05
Category : Mathematics
ISBN : 9788132218838

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Nonlinear Analysis by Qamrul Hasan Ansari Pdf

Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Genericity in Nonlinear Analysis

Simeon Reich,Alexander J. Zaslavski
Genericity in Nonlinear Analysis Book PDF

Author : Simeon Reich,Alexander J. Zaslavski
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 42,8 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461495338

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Genericity in Nonlinear Analysis by Simeon Reich,Alexander J. Zaslavski Pdf

This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences. Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry–Mather theory.

Convex Analysis and Nonlinear Optimization

Jonathan Borwein,Adrian S. Lewis
Convex Analysis and Nonlinear Optimization Book PDF

Author : Jonathan Borwein,Adrian S. Lewis
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 42,7 Mb
Release : 2010-05-05
Category : Mathematics
ISBN : 9780387312569

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Convex Analysis and Nonlinear Optimization by Jonathan Borwein,Adrian S. Lewis Pdf

Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.

Recent Progress in Algebra

China) International Conference on Advances in Structural Dynamics (2000 : Hong Kong,Sang Geun Hahn,Hyo Chul Myung,Efim Zelmanov
Recent Progress in Algebra Book PDF

Author : China) International Conference on Advances in Structural Dynamics (2000 : Hong Kong,Sang Geun Hahn,Hyo Chul Myung,Efim Zelmanov
Publisher : American Mathematical Soc.
Page : 243 pages
File Size : 54,8 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821809723

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Recent Progress in Algebra by China) International Conference on Advances in Structural Dynamics (2000 : Hong Kong,Sang Geun Hahn,Hyo Chul Myung,Efim Zelmanov Pdf

This volume presents the proceedings of the international conference on Recent Progress in Algebra that was held at the Korea Advanced Institute of Science and Technology (KAIST) and Korea Institute for Advanced Study (KIAS). It brought together experts in the field to discuss progress in algebra, combinatorics, algebraic geometry and number theory. This book contains selected papers contributed by conference participants. The papers cover a wide range of topics and reflect the current state of research in modern algebra.

Nonlinear Analysis and Variational Problems

Panos M. Pardalos,Themistocles M. Rassias,Akhtar A. Khan
Nonlinear Analysis and Variational Problems Book PDF

Author : Panos M. Pardalos,Themistocles M. Rassias,Akhtar A. Khan
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 41,6 Mb
Release : 2009-10-20
Category : Business & Economics
ISBN : 9781441901583

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Nonlinear Analysis and Variational Problems by Panos M. Pardalos,Themistocles M. Rassias,Akhtar A. Khan Pdf

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.

Large-Scale Nonlinear Optimization

Gianni Pillo,Massimo Roma
Large Scale Nonlinear Optimization Book PDF

Author : Gianni Pillo,Massimo Roma
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 42,8 Mb
Release : 2006-06-03
Category : Mathematics
ISBN : 9780387300658

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Large-Scale Nonlinear Optimization by Gianni Pillo,Massimo Roma Pdf

This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research. Individual chapters, contributed by eminent authorities, provide an up-to-date overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.

Constructive, Experimental, and Nonlinear Analysis

Michel A. Théra
Constructive Experimental and Nonlinear Analysis Book PDF

Author : Michel A. Théra
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 55,7 Mb
Release : 2000
Category : Mathematics
ISBN : 0821821679

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Constructive, Experimental, and Nonlinear Analysis by Michel A. Théra Pdf

"This volume presents twenty original refereed papers on different aspects of modern analysis, including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in nonsmooth and functional analysis with applications to control theory. These papers originated largely from a conference held in conjunction with a 1999 Doctorate Honoris Causa awarded to Jonathan Borwein at Limoges. As such they reflect the areas in which Dr. Borwein has worked. In addition to providing a snapshot of research in the field of modern analysis, the papers suggest some of the directions this research is following at the beginning of the millennium."--BOOK JACKET.

Advances in Applied Mathematics and Global Optimization

David Y. Gao,Hanif D. Sherali
Advances in Applied Mathematics and Global Optimization Book PDF

Author : David Y. Gao,Hanif D. Sherali
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 40,8 Mb
Release : 2009-04-09
Category : Mathematics
ISBN : 9780387757148

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Advances in Applied Mathematics and Global Optimization by David Y. Gao,Hanif D. Sherali Pdf

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.

Harmonic Analysis and Nonlinear Differential Equations

Victor Lenard Shapiro,Michel Laurent Lapidus,Lawrence Hueston Harper,Adolfo J. Rumbos
Harmonic Analysis and Nonlinear Differential Equations Book PDF

Author : Victor Lenard Shapiro,Michel Laurent Lapidus,Lawrence Hueston Harper,Adolfo J. Rumbos
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 45,8 Mb
Release : 1997
Category : Mathematics
ISBN : 9780821805657

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Harmonic Analysis and Nonlinear Differential Equations by Victor Lenard Shapiro,Michel Laurent Lapidus,Lawrence Hueston Harper,Adolfo J. Rumbos Pdf

This volume is a collection of papers dealing with harmonic analysis and nonlinear differential equations and stems from a conference on these two areas and their interface held in November 1995 at the University of California, Riverside, in honor of V. L. Shapiro. There are four papers dealing directly with the use of harmonic analysis techniques to solve challenging problems in nonlinear partial differential equations. There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media. A number of the papers contain open problems in their respective areas.

Optimization Theory

F. Giannessi,Panos M. Pardalos,Tamás Rapcsák
Optimization Theory Book PDF

Author : F. Giannessi,Panos M. Pardalos,Tamás Rapcsák
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 46,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302957

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Optimization Theory by F. Giannessi,Panos M. Pardalos,Tamás Rapcsák Pdf

This volume contains refereed papers based on the lectures presented at the XIV International Conference on Mathematical Programming held at Matrahaza, Hungary, between 27-31 March 1999. This conference was organized by the Laboratory of Operations Research and Deci sion Systems at the Computer and Automation Institute, Hungarian Academy of Sciences. The editors hope this volume will contribute to the theory and applications of mathematical programming. As a tradition of these events, the main purpose of the confer ence was to review and discuss recent advances and promising research trends concerning theory, algorithms and applications in different fields of Optimization Theory and related areas such as Convex Analysis, Complementarity Systems and Variational Inequalities. The conference is traditionally held in the Matra Mountains, and housed by the resort house of the Hungarian Academy of Sciences. This was the 14th event of the long lasting series of conferences started in 1973. The organizers wish to express their thanks to the authors for their contributions in this volume, and the anonymous referees for their valu able comments. Special thanks are directed to our sponsors, the Hun garian Academy of Sciences, the National Committee for Technological Development, the Hungarian National Science Foundation, and last but not least, the Hungarian Operational Research Society. We would like to thank John Martindale from Kluwer Academic Publishers for helping us produce this volume, Eva Nora Nagy for cor rections and proof-readings, and Peter Dombi for his excellent work on typesetting and editing the manuscript.

Optimization Methods in Partial Differential Equations

Steven Cox,Irena Lasiecka
Optimization Methods in Partial Differential Equations Book PDF

Author : Steven Cox,Irena Lasiecka
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 52,9 Mb
Release : 1997
Category : Differential equations, Partial
ISBN : 9780821806043

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Optimization Methods in Partial Differential Equations by Steven Cox,Irena Lasiecka Pdf

The problems considered range from basic theoretical issues in the calculus of variations - such as infinite dimensional Hamilton Jacobi equations, saddle point principles, and issues of unique continuation - to ones focusing on application and computation, where theoretical tools are tuned to more specifically defined problems.