Analyse Variationnelle Et Optimisation

Download Analyse Variationnelle Et Optimisation full books in PDF, epub, and Kindle. Read online Analyse Variationnelle Et Optimisation ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Bases, outils et principes pour l'analyse variationnelle

Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 3642307353
Total Pages : 182 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!

Book Synopsis Bases, outils et principes pour l'analyse variationnelle by : Jean-Baptiste Hiriart-Urruty

Download or read book Bases, outils et principes pour l'analyse variationnelle written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 2012-09-20 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analyse numérique et optimisation

Author : Grégoire Allaire
Publisher : Editions Ecole Polytechnique
ISBN 13 : 9782730212557
Total Pages : 482 pages
Book Rating : 4.2/5 (125 download)

DOWNLOAD NOW!

Book Synopsis Analyse numérique et optimisation by : Grégoire Allaire

Download or read book Analyse numérique et optimisation written by Grégoire Allaire and published by Editions Ecole Polytechnique. This book was released on 2005 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est issu d'un cours enseigné à l'École Polytechnique dont l'objectif, au delà de la présentation de l'analyse numérique et de l'optimisation, est d'introduire les étudiants au monde de la modélisation mathématique et de la simulation numérique. La modélisation et la simulation ont pris une importance considérable ces dernières décennies dans tous les domaines de la science et des applications industrielles (ou sciences de l'ingénieur). En effet, depuis leur apparition au lendemain de la seconde guerre mondiale les ordinateurs ont profondément transformé les mathématiques en en faisant une science expérimentale : on fait des ± expériences numériques » (des calculs sur ordinateurs) comme d'autres font des expériences physiques. L'analyse numérique est justement la discipline qui conçoit et analyse les méthodes ou algorithmes de calcul. La simulation numérique permet aux mathématiciens de s'attaquer à des problèmes beaucoup plus complexes et concrets qu'auparavant, issus de motivations immédiates industrielles ou scientifiques, auxquels on peut apporter des réponses à la fois qualitatives mais aussi quantitatives : c'est la modélisation mathématique. Remarquons qu'à coté des champs d'applications traditionnels que sont la chimie, le mécanique et la physique se sont ouverts de nouvelles perspectives en biologie, environnement, finance, médecine et sciences sociales. Par ailleurs, l'ingénieur ou le scientifique qui a réussi à simuler numériquement son problème ne s'arrête pas en si bon chemin: il veut ensuite pouvoir intervenir sur certains paramètres pour améliorer ou optimiser le fonctionnement, le rendement, ou la réponse d'un système en maximisant (ou minimisant) des fonctions associées. C'est précisément le but de l'optimisation qui fournit des outils théoriques ou numériques pour ce faire. L'analyse numérique et l'optimisation sont donc deux outils essentiels et complémentaires de la modélisation mathématique. Des travaux pratiques de simulation numérique à l'aide des logiciels Scilab et FreeFem++ accompagnent cet ouvrage et sont disponibles sur le site web http://www.cmap.polytechnique.fr/~allaire/

Optimisation convexe et inéquations variationnelles monotones

Author : Jean-Pierre Crouzeix
Publisher : Springer Nature
ISBN 13 : 3031306813
Total Pages : 204 pages
Book Rating : 4.0/5 (313 download)

DOWNLOAD NOW!

Book Synopsis Optimisation convexe et inéquations variationnelles monotones by : Jean-Pierre Crouzeix

Download or read book Optimisation convexe et inéquations variationnelles monotones written by Jean-Pierre Crouzeix and published by Springer Nature. This book was released on 2023-06-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: De nombreux systèmes physiques, mécaniques, financiers et économiques peuvent être décrits par des modèles mathématiques qui visent à optimiser des fonctions, trouver des équilibres et effectuer des arbitrages. Souvent, la convexité des ensembles et des fonctions ainsi que les conditions de monotonie sur les systèmes d'inéquations qui régissent ces systèmes se présentent naturellement dans les modèles. C'est dans cet esprit que nous avons conçu ce livre en mettant l'accent sur une approche géométrique qui privilégie l'intuition par rapport à une approche plus analytique. Les démonstrations des résultats classiques ont été revues dans cette optique et simplifiées. De nombreux exemples d'applications sont étudiés et des exercices sont proposés. Ce livre s'adresse aux étudiants en master de mathématiques appliquées, ainsi qu'aux doctorants, chercheurs et ingénieurs souhaitant comprendre les fondements de l'analyse convexe et de la théorie des inéquations variationnelles monotones.

Convergence épigraphique et changements d'échelle en analyse variationnelle et optimisation

Author : Denis Torralba
Publisher :
ISBN 13 :
Total Pages : 157 pages
Book Rating : 4.:/5 (687 download)

DOWNLOAD NOW!

Book Synopsis Convergence épigraphique et changements d'échelle en analyse variationnelle et optimisation by : Denis Torralba

Download or read book Convergence épigraphique et changements d'échelle en analyse variationnelle et optimisation written by Denis Torralba and published by . This book was released on 1996 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: En utilisant des méthodes de changement d'échelle et d'épi-convergence (encore appelée Г-convergence), nous dégageons quelques règles pour l'étude du comportement asymptomatique, lorsque ε →0, de problèmes du type "minimiser φ +ε Ψ ". Suivant la démarche générale des méthodes de viscosité, nous cherchons à caractériser les points limites de la trajectoire optimale x (ε ) comme solutions d'une hiérarchie de problèmes d'optimisation. des applications sont données pour un problème lié à la théorie des transitions de phase (modèle de van der Waals) ainsi que pour la méthode barrière logarithmique en programmation linéaire.

Algorithmique en Analyse Variationnelle Et en Optimisation Semidéfinie

Author : Jérôme Malik
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (492 download)

DOWNLOAD NOW!

Book Synopsis Algorithmique en Analyse Variationnelle Et en Optimisation Semidéfinie by : Jérôme Malik

Download or read book Algorithmique en Analyse Variationnelle Et en Optimisation Semidéfinie written by Jérôme Malik and published by . This book was released on 2005 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis consists in studies of variational analysis problems around a common theme : eigenvalues. The first part is devoted to numerical optimization problems in matrix spaces where contraints on eigenvalues are involved. We introduce dual numerical methods to compute the projection of a matrix onto the intersection of the cone of semidefinite positive matrices with an affine subspace. We present also several applications : in combinatorial optimization (bounding large quadratic boolean problems), in semidefinite programming (proximal algorithm to solve linear sdp problems) and in finance (robust portfolio selection problem). In the second part, more theoretical, we study nonsmooth functions that have a structure similar to the one of the largest eigenv alue function. For these functions, we establish connexions between newton methods of the modern convex analysis, the riemannian newton methods and the newton methods of constrained optimization.

Analysis

Author : Jean-Paul Penot
Publisher : Springer
ISBN 13 : 331932411X
Total Pages : 687 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Analysis by : Jean-Paul Penot

Download or read book Analysis written by Jean-Paul Penot and published by Springer. This book was released on 2016-12-18 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Convergence epigraphique et changements d'echelle en analyse variationnelle et optimisation. Applications aux transitions de phases et a la methode barriere logarithmique

Download Convergence epigraphique et changements d'echelle en analyse variationnelle et optimisation. Applications aux transitions de phases et a la methode barriere logarithmique PDF Online Free

Author : Denis Torralba
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (494 download)

DOWNLOAD NOW!

Book Synopsis Convergence epigraphique et changements d'echelle en analyse variationnelle et optimisation. Applications aux transitions de phases et a la methode barriere logarithmique by : Denis Torralba

Download or read book Convergence epigraphique et changements d'echelle en analyse variationnelle et optimisation. Applications aux transitions de phases et a la methode barriere logarithmique written by Denis Torralba and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus Without Derivatives

Author : Jean-Paul Penot
Publisher : Springer Science & Business Media
ISBN 13 : 1461445388
Total Pages : 541 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Calculus Without Derivatives by : Jean-Paul Penot

Download or read book Calculus Without Derivatives written by Jean-Paul Penot and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Méthodes variationnelles

Author : Pierre Alain Mazet
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (819 download)

DOWNLOAD NOW!

Book Synopsis Méthodes variationnelles by : Pierre Alain Mazet

Download or read book Méthodes variationnelles written by Pierre Alain Mazet and published by . This book was released on 1984 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Set-Valued Mappings and Enlargements of Monotone Operators

Author : Regina S. Burachik
Publisher : Springer Science & Business Media
ISBN 13 : 0387697578
Total Pages : 305 pages
Book Rating : 4.3/5 (876 download)

DOWNLOAD NOW!

Book Synopsis Set-Valued Mappings and Enlargements of Monotone Operators by : Regina S. Burachik

Download or read book Set-Valued Mappings and Enlargements of Monotone Operators written by Regina S. Burachik and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Tapas

Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer
ISBN 13 : 3319421867
Total Pages : 169 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Tapas by : Jean-Baptiste Hiriart-Urruty

Download or read book Mathematical Tapas written by Jean-Baptiste Hiriart-Urruty and published by Springer. This book was released on 2016-09-01 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Decision Sciences

Author : Raghu Nandan Sengupta
Publisher : CRC Press
ISBN 13 : 1482282569
Total Pages : 1042 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Decision Sciences by : Raghu Nandan Sengupta

Download or read book Decision Sciences written by Raghu Nandan Sengupta and published by CRC Press. This book was released on 2016-11-30 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Author : Heinz H. Bauschke
Publisher : Springer Science & Business Media
ISBN 13 : 1441995692
Total Pages : 409 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!

Book Synopsis Fixed-Point Algorithms for Inverse Problems in Science and Engineering by : Heinz H. Bauschke

Download or read book Fixed-Point Algorithms for Inverse Problems in Science and Engineering written by Heinz H. Bauschke and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.

Ill-posed Variational Problems and Regularization Techniques

Author : Michel Thera
Publisher : Springer Science & Business Media
ISBN 13 : 3642457800
Total Pages : 281 pages
Book Rating : 4.6/5 (424 download)

DOWNLOAD NOW!

Book Synopsis Ill-posed Variational Problems and Regularization Techniques by : Michel Thera

Download or read book Ill-posed Variational Problems and Regularization Techniques written by Michel Thera and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction à l'optimisation différentiable

Author : Michel Bierlaire
Publisher : EPFL Press
ISBN 13 : 2880746698
Total Pages : 552 pages
Book Rating : 4.8/5 (87 download)

DOWNLOAD NOW!

Book Synopsis Introduction à l'optimisation différentiable by : Michel Bierlaire

Download or read book Introduction à l'optimisation différentiable written by Michel Bierlaire and published by EPFL Press. This book was released on 2006-01-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Numerical Linear Algebra and Optimisation

Author : Philippe G. Ciarlet
Publisher : Cambridge University Press
ISBN 13 : 9780521339841
Total Pages : 456 pages
Book Rating : 4.3/5 (398 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Numerical Linear Algebra and Optimisation by : Philippe G. Ciarlet

Download or read book Introduction to Numerical Linear Algebra and Optimisation written by Philippe G. Ciarlet and published by Cambridge University Press. This book was released on 1989-08-25 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value to students of numerical analysis, applied mathematics and engineering.

Incertitudes, optimisation et fiabilité des structures

Author : EL HAMI Abdelkhalak
Publisher : Lavoisier
ISBN 13 : 2746295164
Total Pages : 396 pages
Book Rating : 4.7/5 (462 download)

DOWNLOAD NOW!

Book Synopsis Incertitudes, optimisation et fiabilité des structures by : EL HAMI Abdelkhalak

Download or read book Incertitudes, optimisation et fiabilité des structures written by EL HAMI Abdelkhalak and published by Lavoisier. This book was released on 2013-06-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: La fiabilité des systèmes complexes est un défi majeur pour les entreprises industrielles. Ces dernières doivent répondre aux exigences des donneurs d’ordre dont le non-respect entraînerait des pénalités compromettant les marchés futurs. L’un des enjeux majeurs de l’optimisation fiabiliste est d’établir une surveillance rigoureuse, capable de prédire et de détecter les modes de défaillances des systèmes étudiés. Cet ouvrage présente les avancées de la recherche et de l’industrie appliquées aux domaines de l’optimisation, de la fiabilité et de la prise en compte des incertitudes en mécanique. Ce couplage est à la base de la compétitivité des entreprises dans les secteurs de l’automobile, de l’aéronautique, du génie civil ou encore de la défense. Accompagné d’exemples détaillés, Incertitudes, optimisation et fiabilité des structures présente les nouveaux outils de conception les plus performants. Il s’adresse aux ingénieurs et aux enseignants-chercheurs.