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Resolution Numerique Des Systemes Dequations Lineaires
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Book Synopsis André-Louis Cholesky by : Claude Brezinski
Download or read book André-Louis Cholesky written by Claude Brezinski and published by Springer. This book was released on 2014-08-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the life of Cholesky (1875-1918), and gives his family history. After an introduction to topography, an English translation of an unpublished paper by him where he explained his method for linear systems is given, studied and replaced in its historical context. His other works, including two books, are also described as well as his involvement in teaching at a superior school by correspondence. The story of this school and its founder, Léon Eyrolles, are addressed. Then, an important unpublished book of Cholesky on graphical calculation is analyzed in detail and compared to similar contemporary publications. The biography of Ernest Benoit, who wrote the first paper where Cholesky ́s method is explained, is provided. Various documents, highlighting the life and the personality of Cholesky, end the book.
Book Synopsis Simultaneous Linear Equations and the Determination of Eigenvalues by : Institute for Numerical Analysis (U.S.)
Download or read book Simultaneous Linear Equations and the Determination of Eigenvalues written by Institute for Numerical Analysis (U.S.) and published by . This book was released on 1953 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Matrices in Numerical Analysis by : Alston S. Householder
Download or read book The Theory of Matrices in Numerical Analysis written by Alston S. Householder and published by Courier Corporation. This book was released on 2006-01-20 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence. An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds, and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate the mathematical principles underlying linear equations and their interrelationships. Topics include methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. Each chapter concludes with a helpful set of references and problems.
Book Synopsis Control Theory, Numerical Methods and Computer Systems Modelling by : A. Bensoussan
Download or read book Control Theory, Numerical Methods and Computer Systems Modelling written by A. Bensoussan and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallelism in Matrix Computations by : Efstratios Gallopoulos
Download or read book Parallelism in Matrix Computations written by Efstratios Gallopoulos and published by Springer. This book was released on 2015-07-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations. It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms. The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded ,Vandermonde ,Toeplitz ,and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike. The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.
Book Synopsis Journal of the Association for Computing Machinery by :
Download or read book Journal of the Association for Computing Machinery written by and published by . This book was released on 1954 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Algebra in Scientific Computing by : Viktor G. Ganzha
Download or read book Computer Algebra in Scientific Computing written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000
Book Synopsis Joseph Liouville 1809–1882 by : Jesper Lützen
Download or read book Joseph Liouville 1809–1882 written by Jesper Lützen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, Sturm-Liouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics.
Book Synopsis Numerical Linear Algebra by : Folkmar Bornemann
Download or read book Numerical Linear Algebra written by Folkmar Bornemann and published by Springer. This book was released on 2018-01-29 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally – in an appendix – in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.
Book Synopsis Couleur numérique : acquisition, perception, codage et rendu by : FERNANDEZ-MALOIGNE Christine
Download or read book Couleur numérique : acquisition, perception, codage et rendu written by FERNANDEZ-MALOIGNE Christine and published by Lavoisier. This book was released on 2012-06-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans cet ouvrage les auteurs recensent les concepts fondamentaux et les dernières avancées dans le domaine de l'acquisition, de la perception, du codage et du rendu des couleurs. Destiné aux chercheurs et ingénieurs, aux étudiants en Master ou Doctorat, cet ouvrage dresse un état de l'art sur les problématiques scientifiques et techniques soulevées par les différentes étapes de la chaîne numérique couleur. Cet ouvrage aborde les aspects fondamentaux liés à la colorimétrie et à la physiologie, à la constance et à l'apparence des couleurs. Il traite aussi des aspects plus techniques liés aux capteurs et à la gestion des couleurs sur écran. Une attention particulière a été également apportée à la notion de rendu des couleurs en synthèse d'images. Au delà de la couleur, un état de l'art approfondit est aussi mené sur le codage, la compression, la protection et la qualité d'images et de vidéos couleur.
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1912 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin (new Series) of the American Mathematical Society by :
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1912 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël
Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.
Book Synopsis Collected Mathematical Papers by : A. Ostrowski
Download or read book Collected Mathematical Papers written by A. Ostrowski and published by Springer Science & Business Media. This book was released on 1984-01-01 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication was made possible through a bequest from my beloved late wife. by the author which United together in this present collection are those works have not previously appeared in book form. The following are excepted: Vorlesungen fiber Differential und Integralrechnung (Lectures on Differential and Integral Calculus) Vols 1-3, Birkhauser Verlag, Basel (1965-1968); Aufgabensammlung zur Infinitesimalrechnung (Exercises in Infinitesimal Calculus) Vols 1, 2a, 2b, and 3, Birkhauser Verlag, Basel (1967-1977); two issues from Memorial des Sciences on Conformal Mapping (written together with C. Gattegno), Gauthier-Villars, Paris (1949); Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York (1973); and Stu dien fiber den Schottkyschen Satz (Studies on Schottky's Theorem), Wepf & Co., Basel (1931). Where corrections have had to be implemented in the text of certain papers, references to these are made at the conclusion of each paper. In the few instances where this system does not, for technical reasons, seem appropriate, an asterisk in the page margin indicates wherever a correction is necessary and this is then given at the end of the paper. (There is one exception: the correc tions to the paper on page 561 are presented on page 722. The works are published in 6 volumes and are arranged under 16 topic headings. Within each heading, the papers are ordered chronologically according to the date of original publication."
Author :Ivor Grattan-Guinness Publisher :Springer Science & Business Media ISBN 13 :9783764322397 Total Pages :310 pages Book Rating :4.3/5 (223 download)
Book Synopsis Convolutions in French Mathematics, 1800–1840 by : Ivor Grattan-Guinness
Download or read book Convolutions in French Mathematics, 1800–1840 written by Ivor Grattan-Guinness and published by Springer Science & Business Media. This book was released on 1990-07-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Tables and Other Aids to Computation by :
Download or read book Mathematical Tables and Other Aids to Computation written by and published by . This book was released on 1957 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Functional Analysis and Operator Theory by : Hutson
Download or read book Applications of Functional Analysis and Operator Theory written by Hutson and published by Academic Press. This book was released on 1980-02-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Functional Analysis and Operator Theory
