By Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh
ISBN-10: 9401771871
ISBN-13: 9789401771870
This booklet is basically meant as a examine monograph which could even be utilized in graduate classes for the layout of parallel algorithms in matrix computations.
It assumes common yet no longer huge wisdom of numerical linear algebra, parallel architectures, and parallel programming paradigms.
The ebook involves 4 elements: (I) fundamentals; (II) Dense and targeted Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix services and features. half I bargains with parallel programming paradigms and basic kernels, together with reordering schemes for sparse matrices. half II is dedicated to dense matrix computations resembling parallel algorithms for fixing linear structures, linear least squares, the symmetric algebraic eigenvalue challenge, and the singular-value decomposition. It additionally offers with the advance of parallel algorithms for targeted linear platforms reminiscent of banded ,Vandermonde ,Toeplitz ,and block Toeplitz structures. half III addresses sparse matrix computations: (a) the improvement of parallel iterative linear approach solvers with emphasis on scalable preconditioners, (b) parallel schemes for acquiring the various severe eigenpairs or these contained in a given period within the spectrum of a regular or generalized symmetric eigenvalue challenge, and (c) parallel equipment for computing a number of the severe singular triplets. half IV specializes in the improvement of parallel algorithms for matrix services and targeted features corresponding to the matrix pseudospectrum and the determinant. The e-book additionally studies the theoretical and functional history invaluable while designing those algorithms and contains an intensive bibliography that might be priceless to researchers and scholars alike.
The booklet brings jointly many current algorithms for the elemental matrix computations that experience a confirmed song checklist of effective implementation by way of information locality and knowledge move on cutting-edge structures, in addition to a number of algorithms which are provided for the 1st time, concentrating on the possibilities for parallelism and set of rules robustness.
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Parallelism in Matrix Computations (Scientific Computation) by Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh
by George
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