Analyse Variationnelle Et Optimisation
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Analyse Variationnelle Et Optimisation
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Author : Azé/Hirriart-Urruty
language : fr
Publisher: Éditions Cépaduès
Release Date : 2010-03-15
Analyse Variationnelle Et Optimisation written by Azé/Hirriart-Urruty and has been published by Éditions Cépaduès this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-15 with Mathematics categories.
Ce livre s'adresse aux étudiants (et à leurs enseignants) de niveaux L3 et (principalement) M1 de mathématiques. Comme l'indique le titre de l'ouvrage, celui-ci comporte des éléments de Cours et une collection d'exercices et problèmes corrigés. Par éléments de Cours nous entendons un corpus introductif à l'Analyse variationnelle et l'Optimisation, qui, suivant les cursus, demande à être complété.L'approche est très progressive, dans un contexte de dimension finie tout d'abord, puis le cadre hilbertien et plus général encore, en soulignant les idées, techniques et résultats de base essentiels
Bases Outils Et Principes Pour L Analyse Variationnelle
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Author : Jean-Baptiste Hiriart-Urruty
language : fr
Publisher: Springer Science & Business Media
Release Date : 2012-09-20
Bases Outils Et Principes Pour L Analyse Variationnelle written by Jean-Baptiste Hiriart-Urruty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Mathematics categories.
L’étude mathématique des problèmes d’optimisation, ou de ceux dits variationnels de manière générale (c’est-à-dire, « toute situation où il y a quelque chose à minimiser sous des contraintes »), requiert en préalable qu’on en maîtrise les bases, les outils fondamentaux et quelques principes. Le présent ouvrage est un cours répondant en partie à cette demande, il est principalement destiné à des étudiants de Master en formation, et restreint à l’essentiel. Sont abordés successivement : La semicontinuité inférieure, les topologies faibles, les résultats fondamentaux d’existence en optimisation ; Les conditions d’optimalité approchée ; Des développements sur la projection sur un convexe fermé, notamment sur un cône convexe fermé ; L’analyse convexe dans son rôle opératoire ; Quelques schémas de dualisation dans des problèmes d’optimisation non convexe structurés ; Une introduction aux sous-différentiels généralisés de fonctions non différentiables.
Analysis
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Author : Jean-Paul Penot
language : en
Publisher: Springer
Release Date : 2016-12-18
Analysis written by Jean-Paul Penot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-18 with Mathematics categories.
This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.
Decision Sciences
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Author : Raghu Nandan Sengupta
language : en
Publisher: CRC Press
Release Date : 2016-11-30
Decision Sciences written by Raghu Nandan Sengupta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-30 with Business & Economics categories.
This handbook is an endeavour to cover many current, relevant, and essential topics related to decision sciences in a scientific manner. Using this handbook, graduate students, researchers, as well as practitioners from engineering, statistics, sociology, economics, etc. will find a new and refreshing paradigm shift as to how these topics can be put to use beneficially. Starting from the basics to advanced concepts, authors hope to make the readers well aware of the different theoretical and practical ideas, which are the focus of study in decision sciences nowadays. It includes an excellent bibliography/reference/journal list, information about a variety of datasets, illustrated pseudo-codes, and discussion of future trends in research. Covering topics ranging from optimization, networks and games, multi-objective optimization, inventory theory, statistical methods, artificial neural networks, times series analysis, simulation modeling, decision support system, data envelopment analysis, queueing theory, etc., this reference book is an attempt to make this area more meaningful for varied readers. Noteworthy features of this handbook are in-depth coverage of different topics, solved practical examples, unique datasets for a variety of examples in the areas of decision sciences, in-depth analysis of problems through colored charts, 3D diagrams, and discussions about software.
Optimisation Et Analyse Convexe
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Author : Jean-Baptiste Hiriart-Urruty
language : fr
Publisher: Presses Universitaires de France - PUF
Release Date : 1998
Optimisation Et Analyse Convexe written by Jean-Baptiste Hiriart-Urruty and has been published by Presses Universitaires de France - PUF this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Convex functions categories.
Ill Posed Variational Problems And Regularization Techniques
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Author : Michel Thera
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ill Posed Variational Problems And Regularization Techniques written by Michel Thera and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
This book presents recent developments in the field of ill-posed variational problems and variational inequalities, covering a large range of theoretical, numerical and practical aspects. The main topics are: - Regularization techniques for equilibrium and fixed point problems, variational inequalities and complementary problems, - Links between approximation, penalization and regularization, - Bundle methods, nonsmooth optimization and regularization, - Error Bounds for regularized optimization problems.
Mathematical Tapas
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Author : Jean-Baptiste Hiriart-Urruty
language : en
Publisher: Springer
Release Date : 2016-09-01
Mathematical Tapas written by Jean-Baptiste Hiriart-Urruty and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-01 with Mathematics categories.
This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.
Calculus Without Derivatives
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Author : Jean-Paul Penot
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09
Calculus Without Derivatives written by Jean-Paul Penot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-09 with Mathematics categories.
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Nonlinear Analysis And Global Optimization
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Author : Themistocles M. Rassias
language : en
Publisher: Springer Nature
Release Date : 2021-02-26
Nonlinear Analysis And Global Optimization written by Themistocles M. Rassias and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-26 with Mathematics categories.
This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.
Set Valued Mappings And Enlargements Of Monotone Operators
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Author : Regina S. Burachik
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-15
Set Valued Mappings And Enlargements Of Monotone Operators written by Regina S. Burachik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-15 with Mathematics categories.
This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. It features several important new results and applications in the field. Throughout the text, examples help readers make the bridge from theory to application. Numerous exercises are also offered to enable readers to apply and build their own skills and knowledge.