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Author: HADDADI Salim
Publisher: Lavoisier
ISBN: 2746289075
Category :
Languages : en
Pages : 306
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Book Description
L’algèbre linéaire permet de résoudre les équations dites linéaires utilisées en mathématiques, en informatique, en mécanique, en sciences naturelles ou en sciences sociales. Du point de vue de l’informaticien, la résolution passe par l’ordinateur. Or, ce dernier ne peut pas tout faire. Il y a des limites d’ordre qualitatives et quantitatives que la machine ne peut dépasser, et d’autres qu’elle ne peut franchir que dans un temps excessivement long. Cet ouvrage théorique et pratique expose tour à tour : – les matrices et leurs opérations ; – l’espace vectoriel Rn ; – l’espace vectoriel Rn muni du produit scalaire ; – les systèmes d’équations linéaires ; – les transformations linéaires, les valeurs et vecteurs propres. Il contient également un chapitre spécifique sur la complexité théorique des problèmes posés en algèbre linéaire (résolution d’un système d’équations linéaires, calcul de l’inverse d’une matrice, du déterminant, du rang, etc.) ainsi qu’une annexe introduisant la théorie de la complexité. Algèbre linéaire dans Rn tire son originalité de la présentation des grands concepts de l’algèbre linéaire et ceux de l’algorithmique et de l’informatique théorique. L’auteur, Salim Haddadi, est professeur en recherche opérationnelle. Ses recherches portent sur l’optimisation combinatoire et la théorie de la complexité.
Author: HADDADI Salim
Publisher: Lavoisier
ISBN: 2746289075
Category :
Languages : en
Pages : 306
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Book Description
L’algèbre linéaire permet de résoudre les équations dites linéaires utilisées en mathématiques, en informatique, en mécanique, en sciences naturelles ou en sciences sociales. Du point de vue de l’informaticien, la résolution passe par l’ordinateur. Or, ce dernier ne peut pas tout faire. Il y a des limites d’ordre qualitatives et quantitatives que la machine ne peut dépasser, et d’autres qu’elle ne peut franchir que dans un temps excessivement long. Cet ouvrage théorique et pratique expose tour à tour : – les matrices et leurs opérations ; – l’espace vectoriel Rn ; – l’espace vectoriel Rn muni du produit scalaire ; – les systèmes d’équations linéaires ; – les transformations linéaires, les valeurs et vecteurs propres. Il contient également un chapitre spécifique sur la complexité théorique des problèmes posés en algèbre linéaire (résolution d’un système d’équations linéaires, calcul de l’inverse d’une matrice, du déterminant, du rang, etc.) ainsi qu’une annexe introduisant la théorie de la complexité. Algèbre linéaire dans Rn tire son originalité de la présentation des grands concepts de l’algèbre linéaire et ceux de l’algorithmique et de l’informatique théorique. L’auteur, Salim Haddadi, est professeur en recherche opérationnelle. Ses recherches portent sur l’optimisation combinatoire et la théorie de la complexité.
Author: Rabe v. Randow
Publisher: Springer Science & Business Media
ISBN: 3642516548
Category : Business & Economics
Languages : en
Pages : 522
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Book Description
The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.
Author: Weijiu Liu
Publisher: Springer Science & Business Media
ISBN: 3642046134
Category : Mathematics
Languages : en
Pages : 303
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Book Description
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Author: Habib Ammari
Publisher: Springer Science & Business Media
ISBN: 3540795537
Category : Medical
Languages : en
Pages : 198
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Book Description
Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.
Author: Ugo Boscain
Publisher: Springer Science & Business Media
ISBN: 9783540203063
Category : Mathematics
Languages : en
Pages : 284
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Book Description
This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.
Author: René Dáger
Publisher: Springer Science & Business Media
ISBN: 3540377263
Category : Science
Languages : en
Pages : 227
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Book Description
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network? This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers.
Author: Horst A. Eiselt
Publisher:
ISBN:
Category : Linear programming
Languages : en
Pages : 54
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Book Description
Author: Jean F. Maurras
Publisher: Springer Science & Business Media
ISBN: 9783540436713
Category : Business & Economics
Languages : fr
Pages : 244
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Book Description
Le but de cet ouvrage est de faire une présentation complète et auto contenue de l'équivalence entre les Oracles Séparer, Optimiser et Appartenir en Optimisation Polyédrale.
Author: Bernard Bonnard
Publisher: Springer Science & Business Media
ISBN: 9783540008385
Category : Science
Languages : en
Pages : 380
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Book Description
The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercieses and problems. A section is devoted to the applications of singular trajectories to the optimisation of batch reactors. The theoretical paart based on the Martinet case concerns the singulatrity analysis of singular trajectories in sub-Riemannian geometry. An algorithm is gibven to evaluate conjugate points and a final chapter discusses open problems. The volume will interest mathematicians and engineers.
Author:
Publisher:
ISBN:
Category : Cybernetics
Languages : en
Pages : 364
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Book Description
