Contribution A Loptimisation Globale Et A Lanalyse Non Differentiable

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Frontiers in Global Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 146130251X
Total Pages : 590 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Frontiers in Global Optimization by : Christodoulos A. Floudas

Download or read book Frontiers in Global Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural optimization, computer sciences, operations research, economics, and engineering design and control. This book contains refereed invited papers submitted at the 4th international confer ence on Frontiers in Global Optimization held at Santorini, Greece during June 8-12, 2003. Santorini is one of the few sites of Greece, with wild beauty created by the explosion of a volcano which is in the middle of the gulf of the island. The mystic landscape with its numerous mult-extrema, was an inspiring location particularly for researchers working on global optimization. The three previous conferences on "Recent Advances in Global Opti mization", "State-of-the-Art in Global Optimization", and "Optimization in Computational Chemistry and Molecular Biology: Local and Global approaches" took place at Princeton University in 1991, 1995, and 1999, respectively. The papers in this volume focus on de terministic methods for global optimization, stochastic methods for global optimization, distributed computing methods in global optimization, and applications of global optimiza tion in several branches of applied science and engineering, computer science, computational chemistry, structural biology, and bio-informatics.

Trends in Mathematical Optimization

Author : K.H. Hoffmann
Publisher : Birkhäuser
ISBN 13 : 3034892977
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Trends in Mathematical Optimization by : K.H. Hoffmann

Download or read book Trends in Mathematical Optimization written by K.H. Hoffmann and published by Birkhäuser. This book was released on 2013-03-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of 23 papers presented at the 4th French-German Conference on Optimization, hold at Irsee, April 21 - 26, 1986. The conference was aUended by ninety scientists: about one third from France, from Germany and from third countries each. They all contributed to a highly interesting and stimulating meeting. The scientifique program consisted of four survey lectures of a more tutorical character and of 61 contributed papers covering almost all areas of optimization. In addition two informal evening sessions and a plenary discussion on further developments of optimization theory were organized. One of the main aims of the organizers was to indicate and to stress the increasing importance of optimization methods for almost all areas of science and for a fast growing number of industry branches. We hope that the conference approached this goal in a certain degree and managed to continue fruitful discussions between -theory and -applications-. Equally important to the official contributions and lectures is the -nonmeasurable part of activities inherent in such a scientific meeting. Here the charming and inspiring atmosphere of a place like Irsee helped to establish numerous new contacts between the participants and to deepen already existing ones. The conference was sponsored by the Bayerische Kultusministerium, the Deutsche Forschungsgemeinschaft and the Universities of Augsburg and Bayreuth. Their interest in the meeting and their assistance is gratefully acknowledged. We would like to thank the authors for their contributions and the referees for their helpful comments.

African Doctorates in Mathematics

Author :
Publisher : Lulu.com
ISBN 13 : 1430318678
Total Pages : 385 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis African Doctorates in Mathematics by :

Download or read book African Doctorates in Mathematics written by and published by Lulu.com. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)

Convexity and Duality in Optimization

Author : Jacob Ponstein
Publisher : Springer Science & Business Media
ISBN 13 : 3642456103
Total Pages : 151 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Convexity and Duality in Optimization by : Jacob Ponstein

Download or read book Convexity and Duality in Optimization written by Jacob Ponstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis and optimization of convex functions have re ceived a great deal of attention during the last two decades. If we had to choose two key-words from these developments, we would retain the concept of ~ubdi66~e~ and the duality theo~y. As it usual in the development of mathematical theories, people had since tried to extend the known defi nitions and properties to new classes of functions, including the convex ones. For what concerns the generalization of the notion of subdifferential, tremendous achievements have been carried out in the past decade and any rna·· thematician who is faced with a nondifferentiable nonconvex function has now a panoply of generalized subdifferentials or derivatives at his disposal. A lot remains to be done in this area, especially concerning vecto~-valued functions ; however we think the golden age for these researches is behind us. Duality theory has also fascinated many mathematicians since the underlying mathematical framework has been laid down in the context of Convex Analysis. The various duality schemes which have emerged in the re cent years, despite of their mathematical elegance, have not always proved as powerful as expected.

Nondifferentiable Optimization

Author : V.F. Dem'yanov
Publisher : Springer
ISBN 13 : 9780387909516
Total Pages : 452 pages
Book Rating : 4.9/5 (95 download)

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Book Synopsis Nondifferentiable Optimization by : V.F. Dem'yanov

Download or read book Nondifferentiable Optimization written by V.F. Dem'yanov and published by Springer. This book was released on 1985-12-12 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of recent coinage, the term "nondifferentiable optimization" (NDO) covers a spectrum of problems related to finding extremal values of nondifferentiable functions. Problems of minimizing nonsmooth functions arise in engineering applications as well as in mathematics proper. The Chebyshev approximation problem is an ample illustration of this. Without loss of generality, we shall consider only minimization problems. Among nonsmooth minimization problems, minimax problems and convex problems have been studied extensively ([31], [36], [57], [110], [120]). Interest in NDO has been constantly growing in recent years (monographs: [30], [81], [127] and articles and papers: [14], [20], [87]-[89], [98], [130], [135], [140]-[142], [152], [153], [160], all dealing with various aspects of non smooth optimization). For solving an arbitrary minimization problem, it is neces sary to: 1. Study properties of the objective function, in particular, its differentiability and directional differentiability. 2. Establish necessary (and, if possible, sufficient) condi tions for a global or local minimum. 3. Find the direction of descent (steepest or, simply, feasible--in appropriate sense). 4. Construct methods of successive approximation. In this book, the minimization problems for nonsmooth func tions of a finite number of variables are considered. Of fun damental importance are necessary conditions for an extremum (for example, [24], [45], [57], [73], [74], [103], [159], [163], [167], [168].

Government Reports Announcements & Index

Author :
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1987 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government reports annual index

Author :
Publisher :
ISBN 13 :
Total Pages : 1256 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government reports annual index by :

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonsmooth Optimization

Author : Claude Lemarechal
Publisher : Elsevier
ISBN 13 : 1483188760
Total Pages : 195 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Nonsmooth Optimization by : Claude Lemarechal

Download or read book Nonsmooth Optimization written by Claude Lemarechal and published by Elsevier. This book was released on 2014-05-19 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth Optimization contains the proceedings of a workshop on non-smooth optimization (NSO) held from March 28 to April 8,1977 in Austria under the auspices of the International Institute for Applied Systems Analysis. The papers explore the techniques and theory of NSO and cover topics ranging from systems of inequalities to smooth approximation of non-smooth functions, as well as quadratic programming and line searches. Comprised of nine chapters, this volume begins with a survey of Soviet research on subgradient optimization carried out since 1962, followed by a discussion on rates of convergence in subgradient optimization. The reader is then introduced to the method of subgradient optimization in an abstract setting and the minimal hypotheses required to ensure convergence; NSO and nonlinear programming; and bundle methods in NSO. A feasible descent algorithm for linearly constrained least squares problems is described. The book also considers sufficient minimization of piecewise-linear univariate functions before concluding with a description of the method of parametric decomposition in mathematical programming. This monograph will be of interest to mathematicians and mathematics students.

Optimization

Author : Jean-Bapiste Hiriart-Urruty
Publisher : CRC Press
ISBN 13 : 1000110516
Total Pages : 272 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Optimization by : Jean-Bapiste Hiriart-Urruty

Download or read book Optimization written by Jean-Bapiste Hiriart-Urruty and published by CRC Press. This book was released on 2020-11-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with tangent cones, duality formulas, a generalized concept of conjugation, and the notion of maxi-minimizing sequence for a saddle-point problem, and deals more with algorithms in optimization. It focuses on the multiple exchange algorithm in convex programming.

Control and Coordination in Hierarchical Systems

Author :
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Control and Coordination in Hierarchical Systems by :

Download or read book Control and Coordination in Hierarchical Systems written by and published by John Wiley & Sons. This book was released on 1980 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The purpose of this book is to present the theory of control and coordination in hierarchical systems - that is, in systems where the decision-making responsibility has been divided. Since it aims to present theory that will be useful for applications, it not only encompasses the basic, general, and consequently somewhat abstract principles of coordination, but also considers such practical features as differences between models and the reality they describe, constraints, possible use of feedback information, and time horizons." --Preface.

Teaching Learning Based Optimization Algorithm

Author : R. Venkata Rao
Publisher : Springer
ISBN 13 : 3319227327
Total Pages : 291 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Teaching Learning Based Optimization Algorithm by : R. Venkata Rao

Download or read book Teaching Learning Based Optimization Algorithm written by R. Venkata Rao and published by Springer. This book was released on 2015-11-14 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing a new optimization algorithm, the “Teaching-Learning-Based Optimization (TLBO),” in a clear and lucid style, this book maximizes reader insights into how the TLBO algorithm can be used to solve continuous and discrete optimization problems involving single or multiple objectives. As the algorithm operates on the principle of teaching and learning, where teachers influence the quality of learners’ results, the elitist version of TLBO algorithm (ETLBO) is described along with applications of the TLBO algorithm in the fields of electrical engineering, mechanical design, thermal engineering, manufacturing engineering, civil engineering, structural engineering, computer engineering, electronics engineering, physics and biotechnology. The book offers a valuable resource for scientists, engineers and practitioners involved in the development and usage of advanced optimization algorithms.

Approximation Theory and Methods

Author : M. J. D. Powell
Publisher : Cambridge University Press
ISBN 13 : 9780521295147
Total Pages : 356 pages
Book Rating : 4.2/5 (951 download)

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Book Synopsis Approximation Theory and Methods by : M. J. D. Powell

Download or read book Approximation Theory and Methods written by M. J. D. Powell and published by Cambridge University Press. This book was released on 1981-03-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

Applied Intertemporal Optimization

Author : Klaus Wälde
Publisher : Klaus Wälde
ISBN 13 : 3000324283
Total Pages : 332 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Applied Intertemporal Optimization by : Klaus Wälde

Download or read book Applied Intertemporal Optimization written by Klaus Wälde and published by Klaus Wälde. This book was released on 2012 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Parametric Mapping: The Analysis of Functional Brain Images

Author : William D. Penny
Publisher : Elsevier
ISBN 13 : 0080466508
Total Pages : 689 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Statistical Parametric Mapping: The Analysis of Functional Brain Images by : William D. Penny

Download or read book Statistical Parametric Mapping: The Analysis of Functional Brain Images written by William D. Penny and published by Elsevier. This book was released on 2011-04-28 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an age where the amount of data collected from brain imaging is increasing constantly, it is of critical importance to analyse those data within an accepted framework to ensure proper integration and comparison of the information collected. This book describes the ideas and procedures that underlie the analysis of signals produced by the brain. The aim is to understand how the brain works, in terms of its functional architecture and dynamics. This book provides the background and methodology for the analysis of all types of brain imaging data, from functional magnetic resonance imaging to magnetoencephalography. Critically, Statistical Parametric Mapping provides a widely accepted conceptual framework which allows treatment of all these different modalities. This rests on an understanding of the brain's functional anatomy and the way that measured signals are caused experimentally. The book takes the reader from the basic concepts underlying the analysis of neuroimaging data to cutting edge approaches that would be difficult to find in any other source. Critically, the material is presented in an incremental way so that the reader can understand the precedents for each new development. This book will be particularly useful to neuroscientists engaged in any form of brain mapping; who have to contend with the real-world problems of data analysis and understanding the techniques they are using. It is primarily a scientific treatment and a didactic introduction to the analysis of brain imaging data. It can be used as both a textbook for students and scientists starting to use the techniques, as well as a reference for practicing neuroscientists. The book also serves as a companion to the software packages that have been developed for brain imaging data analysis. - An essential reference and companion for users of the SPM software - Provides a complete description of the concepts and procedures entailed by the analysis of brain images - Offers full didactic treatment of the basic mathematics behind the analysis of brain imaging data - Stands as a compendium of all the advances in neuroimaging data analysis over the past decade - Adopts an easy to understand and incremental approach that takes the reader from basic statistics to state of the art approaches such as Variational Bayes - Structured treatment of data analysis issues that links different modalities and models - Includes a series of appendices and tutorial-style chapters that makes even the most sophisticated approaches accessible

Essays and Surveys in Global Optimization

Author : Charles Audet
Publisher : Springer Science & Business Media
ISBN 13 : 0387255702
Total Pages : 294 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Essays and Surveys in Global Optimization by : Charles Audet

Download or read book Essays and Surveys in Global Optimization written by Charles Audet and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global optimization aims at solving the most general problems of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addition, once the solutions are found, proof of its optimality is also expected from this methodology. Therefore, with these difficulties in mind, global optimization is becoming an increasingly powerful and important methodology. Essays and Surveys in Global Optimization is the most recent examination of its mathematical capability, power, and wide ranging solutions to many fields in the applied sciences.

Optimization and Dynamical Systems

Author : Uwe Helmke
Publisher : Springer Science & Business Media
ISBN 13 : 1447134672
Total Pages : 409 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Optimization and Dynamical Systems by : Uwe Helmke

Download or read book Optimization and Dynamical Systems written by Uwe Helmke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.

Introduction to Optimum Design

Author : Jasbir Singh Arora
Publisher : Academic Press
ISBN 13 : 012381376X
Total Pages : 897 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Introduction to Optimum Design by : Jasbir Singh Arora

Download or read book Introduction to Optimum Design written by Jasbir Singh Arora and published by Academic Press. This book was released on 2011-08-12 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Optimum Design, Third Edition describes an organized approach to engineering design optimization in a rigorous yet simplified manner. It illustrates various concepts and procedures with simple examples and demonstrates their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text. Excel and MATLAB® are featured as learning and teaching aids. - Basic concepts of optimality conditions and numerical methods are described with simple and practical examples, making the material highly teachable and learnable - Includes applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems - Introduction to MATLAB Optimization Toolbox - Practical design examples introduce students to the use of optimization methods early in the book - New example problems throughout the text are enhanced with detailed illustrations - Optimum design with Excel Solver has been expanded into a full chapter - New chapter on several advanced optimum design topics serves the needs of instructors who teach more advanced courses