Parallel computations in linear algebra. II

Cybernetics ◽  
1983 ◽  
Vol 18 (3) ◽  
pp. 288-304 ◽  
Author(s):  
V. N. Faddeeva ◽  
D. K. Faddeev
Keyword(s):  
Linear Algebra ◽  
Parallel Computations ◽  
Algebra Ii

scholarly journals OpenMP Issues Arising in the Development of Parallel BLAS and LAPACK Libraries

2003 ◽  
Vol 11 (2) ◽  
pp. 95-104 ◽  
Author(s):  
C. Addison ◽  
Y. Ren ◽  
M. van Waveren
Keyword(s):  
Shared Memory ◽  
Linear Algebra ◽  
Distributed Memory ◽  
Parallel Computations ◽  
Dense Linear Algebra ◽  
Fine Grain ◽  
Parallel Implementations ◽  
Work Distribution ◽  
Multiple Array ◽  
Parallel Library

Dense linear algebra libraries need to cope efficiently with a range of input problem sizes and shapes. Inherently this means that parallel implementations have to exploit parallelism wherever it is present. While OpenMP allows relatively fine grain parallelism to be exploited in a shared memory environment it currently lacks features to make it easy to partition computation over multiple array indices or to overlap sequential and parallel computations. The inherent flexible nature of shared memory paradigms such as OpenMP poses other difficulties when it becomes necessary to optimise performance across successive parallel library calls. Notions borrowed from distributed memory paradigms, such as explicit data distributions help address some of these problems, but the focus on data rather than work distribution appears misplaced in an SMP context.

Lectures in Abstract Algebra. II: Linear Algebra

1955 ◽  
Vol 39 (327) ◽  
pp. 76
Author(s):  
W. Ledermann ◽  
Nathan Jacobson
Keyword(s):  
Linear Algebra ◽  
Abstract Algebra ◽  
Algebra Ii

Linear Algebra II

2020 ◽  
Author(s):  
Frederick Greenleaf ◽  
Sophie Marques
Keyword(s):  
Linear Algebra ◽  
Algebra Ii

Parallel computations in linear algebra

Cybernetics ◽  
1978 ◽  
Vol 13 (6) ◽  
pp. 822-834 ◽  
Author(s):  
V. N. Faddeeva ◽  
D. K. Faddeev
Keyword(s):  
Linear Algebra ◽  
Parallel Computations
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