A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems
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Other documents of the author: Benner, Peter; Ezzatti, Pablo; Quintana-Orti, Enrique S.; Remón, Alfredo
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Title
A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear SystemsDate
2016-04Publisher
SpringerISBN
978-3-319-32148-6Bibliographic citation
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.Type
info:eu-repo/semantics/bookPartPublisher version
http://link.springer.com/chapter/10.1007%2F978-3-319-32149-3_10Subject
Abstract
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. [-]
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International Conference on Parallel Processing and Applied Mathematics. Springer International Publishing, 2015Rights
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