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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Allg. & Lexika Parallelism in Matrix Computations
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Parallelism in Matrix Computations
Efstratios Gallopoulos (Taschenbuch, Englisch)
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Beschreibung
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 sparsematrix 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. 99,98 €
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Technische Daten
Erscheinungsdatum
23.10.2016
Sprache
Englisch
EAN
9789402403176
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Scientific Computation
Sonderedition
Nein
Autor
Efstratios Gallopoulos
Seitenanzahl
473
Auflage
Softcover reprint of the original 1st edition 2016
Einbandart
Taschenbuch
Schlagwörter
BLAS computing, Davidson methods, Dense matrix computations, GramSchmidt orthogonalization, Grid based methods, LU factorization, Lanczos method, Matrix dimensionality reduction, Sparse matrix computations, Trace minimization method
Thema-Inhalt
TBJ - Mathematik für Ingenieure
PBKS - Numerische Mathematik
PHU - Mathematische Physik
UYAM - Mathematik für Informatiker
UGC - Computer-Aided Design (CAD)
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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