A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems
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Títol
A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear SystemsData de publicació
2016-04Editor
SpringerISBN
978-3-319-32148-6Cita bibliogràfica
BENNER, Peter, et al. A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems. En International Conference on Parallel Processing and Applied Mathematics. Springer International Publishing, 2015. p. 96-105.Tipus de document
info:eu-repo/semantics/bookPartVersió de l'editorial
http://link.springer.com/chapter/10.1007%2F978-3-319-32149-3_10Paraules clau / Matèries
Resum
We present a multi-threaded solver for symmetric positive definite linear systems where the coefficient matrix of the problem features a bordered-band non-zero pattern. The algorithms that implement this approach ... [+]
We present a multi-threaded solver for symmetric positive definite linear systems where the coefficient matrix of the problem features a bordered-band non-zero pattern. The algorithms that implement this approach heavily rely on a compact storage format, tailored for this type of matrices, that reduces the memory requirements, produces a regular data access pattern, and allows to cast the bulk of the computations in terms of efficient kernels from the Level-3 and Level-2 BLAS. The efficiency of our approach is illustrated by numerical experiments. [-]
Publicat a
International Conference on Parallel Processing and Applied Mathematics. Springer International Publishing, 2015Drets d'accés
Springer International Publishing Switzerland
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