Algèbre linéaire dans Rn : théorie, algorithmes et complexité PDF Download
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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: Salim Haddadi
Publisher:
ISBN: 9782746239074
Category :
Languages : fr
Pages : 301
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Book Description
La quatrième de couverture indique : "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: Peter J. Olver
Publisher: Cambridge University Press
ISBN: 9780521558211
Category : Mathematics
Languages : en
Pages : 308
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Book Description
The book is a self-contained introduction to the results and methods in classical invariant theory.
Author: Neural Information Processing Systems Foundation
Publisher: MIT Press
ISBN: 0262026171
Category : Algorithms
Languages : en
Pages : 361
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Book Description
State-of-the-art algorithms and theory in a novel domain of machine learning, prediction when the output has structure.
Author: Claude Cohen-Tannoudji
Publisher: John Wiley & Sons
ISBN: 3527345558
Category : Science
Languages : en
Pages : 790
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Book Description
This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Author: Michael J. Kearns
Publisher: MIT Press
ISBN: 9780262111935
Category : Computers
Languages : en
Pages : 230
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Book Description
Emphasizing issues of computational efficiency, Michael Kearns and Umesh Vazirani introduce a number of central topics in computational learning theory for researchers and students in artificial intelligence, neural networks, theoretical computer science, and statistics. Emphasizing issues of computational efficiency, Michael Kearns and Umesh Vazirani introduce a number of central topics in computational learning theory for researchers and students in artificial intelligence, neural networks, theoretical computer science, and statistics. Computational learning theory is a new and rapidly expanding area of research that examines formal models of induction with the goals of discovering the common methods underlying efficient learning algorithms and identifying the computational impediments to learning. Each topic in the book has been chosen to elucidate a general principle, which is explored in a precise formal setting. Intuition has been emphasized in the presentation to make the material accessible to the nontheoretician while still providing precise arguments for the specialist. This balance is the result of new proofs of established theorems, and new presentations of the standard proofs. The topics covered include the motivation, definitions, and fundamental results, both positive and negative, for the widely studied L. G. Valiant model of Probably Approximately Correct Learning; Occam's Razor, which formalizes a relationship between learning and data compression; the Vapnik-Chervonenkis dimension; the equivalence of weak and strong learning; efficient learning in the presence of noise by the method of statistical queries; relationships between learning and cryptography, and the resulting computational limitations on efficient learning; reducibility between learning problems; and algorithms for learning finite automata from active experimentation.
Author: Rembert Reemtsen
Publisher: Springer Science & Business Media
ISBN: 1475728689
Category : Computers
Languages : en
Pages : 418
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Book Description
Semi-infinite programming (briefly: SIP) is an exciting part of mathematical programming. SIP problems include finitely many variables and, in contrast to finite optimization problems, infinitely many inequality constraints. Prob lems of this type naturally arise in approximation theory, optimal control, and at numerous engineering applications where the model contains at least one inequality constraint for each value of a parameter and the parameter, repre senting time, space, frequency etc., varies in a given domain. The treatment of such problems requires particular theoretical and numerical techniques. The theory in SIP as well as the number of numerical SIP methods and appli cations have expanded very fast during the last years. Therefore, the main goal of this monograph is to provide a collection of tutorial and survey type articles which represent a substantial part of the contemporary body of knowledge in SIP. We are glad that leading researchers have contributed to this volume and that their articles are covering a wide range of important topics in this subject. It is our hope that both experienced students and scientists will be well advised to consult this volume. We got the idea for this volume when we were organizing the semi-infinite pro gramming workshop which was held in Cottbus, Germany, in September 1996.
Author: Vladimir Vapnik
Publisher: Springer Science & Business Media
ISBN: 1475732643
Category : Mathematics
Languages : en
Pages : 324
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Book Description
The aim of this book is to discuss the fundamental ideas which lie behind the statistical theory of learning and generalization. It considers learning as a general problem of function estimation based on empirical data. Omitting proofs and technical details, the author concentrates on discussing the main results of learning theory and their connections to fundamental problems in statistics. This second edition contains three new chapters devoted to further development of the learning theory and SVM techniques. Written in a readable and concise style, the book is intended for statisticians, mathematicians, physicists, and computer scientists.
Author: Arnold Schönhage
Publisher:
ISBN:
Category : Computer algorithms
Languages : en
Pages : 316
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Book Description
Author: Martin Lindstrom
Publisher: Currency
ISBN: 0385523890
Category : Business & Economics
Languages : en
Pages : 274
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Book Description
NEW YORK TIMES BESTSELLER • “A fascinating look at how consumers perceive logos, ads, commercials, brands, and products.”—Time How much do we know about why we buy? What truly influences our decisions in today’s message-cluttered world? In Buyology, Martin Lindstrom presents the astonishing findings from his groundbreaking three-year, seven-million-dollar neuromarketing study—a cutting-edge experiment that peered inside the brains of 2,000 volunteers from all around the world as they encountered various ads, logos, commercials, brands, and products. His startling results shatter much of what we have long believed about what captures our interest—and drives us to buy. Among the questions he explores: • Does sex actually sell? • Does subliminal advertising still surround us? • Can “cool” brands trigger our mating instincts? • Can our other senses—smell, touch, and sound—be aroused when we see a product? Buyology is a fascinating and shocking journey into the mind of today's consumer that will captivate anyone who's been seduced—or turned off—by marketers' relentless attempts to win our loyalty, our money, and our minds.
