Optimization Theory And Related Topics

Author : L. Cesari
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461381655

Get Book

Optimization—Theory and Applications by L. Cesari Pdf

This book has grown out of lectures and courses in calculus of variations and optimization taught for many years at the University of Michigan to graduate students at various stages of their careers, and always to a mixed audience of students in mathematics and engineering. It attempts to present a balanced view of the subject, giving some emphasis to its connections with the classical theory and to a number of those problems of economics and engineering which have motivated so many of the present developments, as well as presenting aspects of the current theory, particularly value theory and existence theorems. However, the presentation ofthe theory is connected to and accompanied by many concrete problems of optimization, classical and modern, some more technical and some less so, some discussed in detail and some only sketched or proposed as exercises. No single part of the subject (such as the existence theorems, or the more traditional approach based on necessary conditions and on sufficient conditions, or the more recent one based on value function theory) can give a sufficient representation of the whole subject. This holds particularly for the existence theorems, some of which have been conceived to apply to certain large classes of problems of optimization. For all these reasons it is essential to present many examples (Chapters 3 and 6) before the existence theorems (Chapters 9 and 11-16), and to investigate these examples by means of the usual necessary conditions, sufficient conditions, and value function theory.

Author : Hubertus Th. Jongen,Klaus Meer,Eberhard Triesch
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 53,8 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9781402080999

Get Book

Optimization Theory by Hubertus Th. Jongen,Klaus Meer,Eberhard Triesch Pdf

This volume provides a comprehensive introduction to the theory of (deterministic) optimization. It covers both continuous and discrete optimization. This allows readers to study problems under different points-of-view, which supports a better understanding of the entire field. Many exercises are included to increase the reader's understanding.

Author : Shashi K. Mishra
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 46,7 Mb
Release : 2011-05-21
Category : Business & Economics
ISBN : 9781441996404

Get Book

Topics in Nonconvex Optimization by Shashi K. Mishra Pdf

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science. This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field. Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Author : Simeon Reich,Alexander J. Zaslavski
Publisher : American Mathematical Soc.
Page : 296 pages
File Size : 51,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869086

Get Book

Optimization Theory and Related Topics by Simeon Reich,Alexander J. Zaslavski Pdf

This volume contains the proceedings of the workshop on Optimization Theory and Related Topics, held in memory of Dan Butnariu, from January 11-14, 2010, in Haifa, Israel. An active researcher in various fields of applied mathematics, Butnariu published over 80 papers. His extensive bibliography is included in this volume. The articles in this volume cover many different areas of Optimization Theory and its applications: maximal monotone operators, sensitivity estimates via Lyapunov functions, inverse Newton transforms, infinite-horizon Pontryagin principles, singular optimal control problems with state delays, descent methods for mixed variational inequalities, games on MV-algebras, ergodic convergence in subgradient optimization, applications to economics and technology planning, the exact penalty property in constrained optimization, nonsmooth inverse problems, Bregman distances, retraction methods in Banach spaces, and iterative methods for solving equilibrium problems. This volume will be of interest to both graduate students and research mathematicians.

Author : Alexander M. Rubinov,Barney M. Glover
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 51,6 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9781475760996

Get Book

Optimization and Related Topics by Alexander M. Rubinov,Barney M. Glover Pdf

This volume contains, in part, a selection of papers presented at the sixth Australian Optimization Day Miniconference (Ballarat, 16 July 1999), and the Special Sessions on Nonlinear Dynamics and Optimization and Operations Re search - Methods and Applications, which were held in Melbourne, July 11-15 1999 as a part of the Joint Meeting of the American Mathematical Society and Australian Mathematical Society. The editors have strived to present both con tributed papers and survey style papers as a more interesting mix for readers. Some participants from the meetings mentioned above have responded to this approach by preparing survey and 'semi-survey' papers, based on presented lectures. Contributed paper, which contain new and interesting results, are also included. The fields of the presented papers are very large as demonstrated by the following selection of key words from selected papers in this volume: • optimal control, stochastic optimal control, MATLAB, economic models, implicit constraints, Bellman principle, Markov process, decision-making under uncertainty, risk aversion, dynamic programming, optimal value function. • emergent computation, complexity, traveling salesman problem, signal estimation, neural networks, time congestion, teletraffic. • gap functions, nonsmooth variational inequalities, derivative-free algo rithm, Newton's method. • auxiliary function, generalized penalty function, modified Lagrange func tion. • convexity, quasiconvexity, abstract convexity.

Author : Edwin K. P. Chong,Stanislaw H. Żak
Publisher : John Wiley & Sons
Page : 646 pages
File Size : 41,9 Mb
Release : 2013-02-05
Category : Mathematics
ISBN : 9781118515150

Get Book

An Introduction to Optimization by Edwin K. P. Chong,Stanislaw H. Żak Pdf

Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail." —MAA Reviews Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers: A new chapter on integer programming Expanded coverage of one-dimensional methods Updated and expanded sections on linear matrix inequalities Numerous new exercises at the end of each chapter MATLAB exercises and drill problems to reinforce the discussed theory and algorithms Numerous diagrams and figures that complement the written presentation of key concepts MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website) Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Author : Gianni Pillo,F. Giannessi
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 46,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475732269

Get Book

Nonlinear Optimization and Related Topics by Gianni Pillo,F. Giannessi Pdf

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.

Author : Rudolf Henn,Diethard Pallaschke
Publisher : Unknown
Page : 97 pages
File Size : 41,8 Mb
Release : 1990
Category : Econometrics
ISBN : 3445098182

Get Book

Special Topics on Mathematical Economics and Optimization Theory by Rudolf Henn,Diethard Pallaschke Pdf

Author : Jochen Werner
Publisher : Vieweg+teubner Verlag
Page : 248 pages
File Size : 50,5 Mb
Release : 1984
Category : Mathematics
ISBN : UCAL:B4405829

Get Book

Optimization Theory and Applications by Jochen Werner Pdf

This book is a slightly augmented version of a set of lec­ tures on optimization which I held at the University of Got­ tingen in the winter semester 1983/84. The lectures were in­ tended to give an introduction to the foundations and an im­ pression of the applications of optimization theory. Since in­ finite dimensional problems were also to be treated and one could only assume a minimal knowledge of functional analysis, the necessary tools from functional analysis were almost com­ pletely developed during the course of the semester. The most important aspects of the course are the duality theory for convex programming and necessary optimality conditions for nonlinear optimization problems; here we strive to make the geometric background particularly clear. For lack of time and space we were not able to go into several important problems in optimization - e. g. vector optimization, geometric program­ ming and stability theory. I am very grateful to various people for their help in pro­ ducing this text. R. Schaback encouraged me to publish my lec­ tures and put me in touch with the Vieweg-Verlag. W. BrUbach and O. Herbst proofread the manuscript; the latter also pro­ duced the drawings and assembled the index. I am indebted to W. LUck for valuable suggestions for improvement. I am also particularly grateful to R. Switzer, who translated the German text into English. Finally I wish to thank Frau P. Trapp for her Gare and patience in typing the final version.

Author : F.H. Clarke,Vladimir F. Dem'yanov,F. Giannessi
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 50,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781475760194

Get Book

Nonsmooth Optimization and Related Topics by F.H. Clarke,Vladimir F. Dem'yanov,F. Giannessi Pdf

This volume contains the edited texts of the lect. nres presented at the International School of Mathematics devoted to Nonsmonth Optimization, held from . June 20 to July I, 1988. The site for the meeting was the "Ettore ~Iajorana" Centre for Sci entific Culture in Erice, Sicily. In the tradition of these meetings the main purpose was to give the state-of-the-art of an important and growing field of mathematics, and to stimulate interactions between finite-dimensional and infinite-dimensional op timization. The School was attended by approximately 80 people from 23 countries; in particular it was possible to have some distinguished lecturers from the SO\·iet Union, whose research institutions are here gratt-fnlly acknowledged. Besides the lectures, several seminars were delivered; a special s·~ssion was devoted to numerical computing aspects. The result was a broad exposure. gi ·. ring a deep knowledge of the present research tendencies in the field. We wish to express our appreciation to all the participants. Special mention 5hould be made of the Ettorc ;. . Iajorana Centre in Erice, which helped provide a stimulating and rewarding experience, and of its staff which was fundamental for the success of the meeting. j\, loreover, WP want to extend uur deep appreci.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 40,5 Mb
Release : 2024-06-15
Category : Electronic
ISBN : 9789814475808

Get Book

Control Theory and Related Topics by Anonim Pdf

Author : Charles E.M. Pearce,Emma Hunt
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 52,7 Mb
Release : 2009-06-29
Category : Mathematics
ISBN : 9780387980966

Get Book

Optimization by Charles E.M. Pearce,Emma Hunt Pdf

The 21 self-contained chapters in this book, include recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convex analysis, and queueing theory. This work will be a valuable tool not only to specialists interested in the technical detail and various applications presented, but also to researchers interested in building upon the book’s theoretical results.

Author : Marius Durea,Radu Strugariu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 328 pages
File Size : 53,9 Mb
Release : 2014-01-01
Category : Mathematics
ISBN : 9783110427356

Get Book

An Introduction to Nonlinear Optimization Theory by Marius Durea,Radu Strugariu Pdf

The goal of this book is to present the main ideas and techniques in the field of continuous smooth and nonsmooth optimization. Starting with the case of differentiable data and the classical results on constrained optimization problems, and continuing with the topic of nonsmooth objects involved in optimization theory, the book concentrates on both theoretical and practical aspects of this field. This book prepares those who are engaged in research by giving repeated insights into ideas that are subsequently dealt with and illustrated in detail.

Author : Assen L. Dontchev,Tullio Zolezzi
Publisher : Springer
Page : 432 pages
File Size : 48,6 Mb
Release : 2006-11-15
Category : Science
ISBN : 9783540476443

Get Book

Well-Posed Optimization Problems by Assen L. Dontchev,Tullio Zolezzi Pdf

This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.

Author : Bernhard Korte,Jens Vygen
Publisher : Springer Science & Business Media
Page : 627 pages
File Size : 47,7 Mb
Release : 2007-11-04
Category : Mathematics
ISBN : 9783540718444

Get Book

Combinatorial Optimization by Bernhard Korte,Jens Vygen Pdf

Now fully updated in a third edition, this is a comprehensive textbook on combinatorial optimization. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete but concise proofs, also for many deep results, some of which have not appeared in print before. Recent topics are covered as well, and numerous references are provided. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added.