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

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

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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:

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

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

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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.

Set-Valued Mappings and Enlargements of Monotone Operators

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

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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.

Ill-posed Variational Problems and Regularization Techniques

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

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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.

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

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

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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.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 764 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Convergence for Functions and Operators

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Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Variational Convergence for Functions and Operators by : H. Attouch

Download or read book Variational Convergence for Functions and Operators written by H. Attouch and published by Pitman Advanced Publishing Program. This book was released on 1984 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Programming

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Publisher : SIAM
ISBN 13 : 9781611971316
Total Pages : 226 pages
Book Rating : 4.9/5 (713 download)

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Book Synopsis Nonlinear Programming by : Anthony V. Fiacco

Download or read book Nonlinear Programming written by Anthony V. Fiacco and published by SIAM. This book was released on 1990-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent interest in interior point methods generated by Karmarkar's Projective Scaling Algorithm has created a new demand for this book because the methods that have followed from Karmarkar's bear a close resemblance to those described. There is no other source for the theoretical background of the logarithmic barrier function and other classical penalty functions. Analyzes in detail the "central" or "dual" trajectory used by modern path following and primal/dual methods for convex and general linear programming. As researchers begin to extend these methods to convex and general nonlinear programming problems, this book will become indispensable to them.

Overcoming the Failure of the Classical Generalized Interior-point Regularity Conditions in Convex Optimization

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832525033
Total Pages : 109 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Overcoming the Failure of the Classical Generalized Interior-point Regularity Conditions in Convex Optimization by : Ernö Robert Csetnek

Download or read book Overcoming the Failure of the Classical Generalized Interior-point Regularity Conditions in Convex Optimization written by Ernö Robert Csetnek and published by Logos Verlag Berlin GmbH. This book was released on 2010-06-30 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to present several new results concerning duality in scalar convex optimization, the formulation of sequential optimality conditions and some applications of the duality to the theory of maximal monotone operators. After recalling some properties of the classical generalized interiority notions which exist in the literature, we give some properties of the quasi interior and quasi-relative interior, respectively. By means of these notions we introduce several generalized interior-point regularity conditions which guarantee Fenchel duality. By using an approach due to Magnanti, we derive corresponding regularity conditions expressed via the quasi interior and quasi-relative interior which ensure Lagrange duality. These conditions have the advantage to be applicable in situations when other classical regularity conditions fail. Moreover, we notice that several duality results given in the literature on this topic have either superfluous or contradictory assumptions, the investigations we make offering in this sense an alternative. Necessary and sufficient sequential optimality conditions for a general convex optimization problem are established via perturbation theory. These results are applicable even in the absence of regularity conditions. In particular, we show that several results from the literature dealing with sequential optimality conditions are rediscovered and even improved. The second part of the thesis is devoted to applications of the duality theory to enlargements of maximal monotone operators in Banach spaces. After establishing a necessary and sufficient condition for a bivariate infimal convolution formula, by employing it we equivalently characterize the $\varepsilon$-enlargement of the sum of two maximal monotone operators. We generalize in this way a classical result concerning the formula for the $\varepsilon$-subdifferential of the sum of two proper, convex and lower semicontinuous functions. A characterization of fully en.

Operateurs Maximaux Monotones Et Semi-groupes de Contractions Dans Les Espaces de Hilbert

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ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (859 download)

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Book Synopsis Operateurs Maximaux Monotones Et Semi-groupes de Contractions Dans Les Espaces de Hilbert by : Haim Brezis

Download or read book Operateurs Maximaux Monotones Et Semi-groupes de Contractions Dans Les Espaces de Hilbert written by Haim Brezis and published by . This book was released on 1973 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Optimization

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ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Optimization by : Boris Teodorovich Poli͡ak

Download or read book Introduction to Optimization written by Boris Teodorovich Poli͡ak and published by . This book was released on 1987 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: