书目名称 | Parallelism in Matrix Computations |
编辑 | Efstratios Gallopoulos,Bernard Philippe,Ahmed H. S |
视频video | |
概述 | No restriction to specific programming paradigms.Discusses the rich history of parallel processing and the origin of many techniques.Provides the structure of parallel algorithms needed for the reader |
丛书名称 | Scientific Computation |
图书封面 |  |
描述 | .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 g |
出版日期 | Textbook 2016 |
关键词 | BLAS computing; Davidson methods; Dense matrix computations; GramSchmidt orthogonalization; Grid based m |
版次 | 1 |
doi | https://doi.org/10.1007/978-94-017-7188-7 |
isbn_softcover | 978-94-024-0317-6 |
isbn_ebook | 978-94-017-7188-7Series ISSN 1434-8322 Series E-ISSN 2198-2589 |
issn_series | 1434-8322 |
copyright | Springer Science+Business Media Dordrecht 2016 |