Matches in SemOpenAlex for { <https://semopenalex.org/work/W1993166243> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W1993166243 endingPage "450" @default.
- W1993166243 startingPage "439" @default.
- W1993166243 abstract "We describe a hybrid Lyapunov solver based on the matrix sign function, where the intensive parts of the computation are accelerated using a graphics processor (GPU) while executing the remaining operations on a general-purpose multi-core processor (CPU). The initial stage of the iteration operates in single-precision arithmetic, returning a low-rank factor of an approximate solution. As the main computation in this stage consists of explicit matrix inversions, we propose a hybrid implementation of Gauß–Jordan elimination using look-ahead to overlap computations on GPU and CPU. To improve the approximate solution, we introduce an iterative refinement procedure that allows to cheaply recover full double-precision accuracy. In contrast to earlier approaches to iterative refinement for Lyapunov equations, this approach retains the low-rank factorization structure of the approximate solution. The combination of the two stages results in a mixed-precision algorithm, that exploits the capabilities of both general-purpose CPUs and many-core GPUs and overlaps critical computations. Numerical experiments using real-world data and a platform equipped with two Intel Xeon QuadCore processors and an Nvidia Tesla C1060 show a significant efficiency gain of the hybrid method compared to a classical CPU implementation." @default.
- W1993166243 created "2016-06-24" @default.
- W1993166243 creator A5012806004 @default.
- W1993166243 creator A5039665879 @default.
- W1993166243 creator A5047539408 @default.
- W1993166243 creator A5060985095 @default.
- W1993166243 creator A5084601962 @default.
- W1993166243 date "2011-08-01" @default.
- W1993166243 modified "2023-10-18" @default.
- W1993166243 title "A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU–GPU platforms" @default.
- W1993166243 cites W1630940536 @default.
- W1993166243 cites W1969626918 @default.
- W1993166243 cites W1974898476 @default.
- W1993166243 cites W1995258411 @default.
- W1993166243 cites W2016075148 @default.
- W1993166243 cites W2050873083 @default.
- W1993166243 cites W2077760421 @default.
- W1993166243 cites W2088748973 @default.
- W1993166243 cites W2091078728 @default.
- W1993166243 cites W2104318722 @default.
- W1993166243 cites W2119354869 @default.
- W1993166243 cites W2143274084 @default.
- W1993166243 cites W2529185266 @default.
- W1993166243 doi "https://doi.org/10.1016/j.parco.2010.12.002" @default.
- W1993166243 hasPublicationYear "2011" @default.
- W1993166243 type Work @default.
- W1993166243 sameAs 1993166243 @default.
- W1993166243 citedByCount "38" @default.
- W1993166243 countsByYear W19931662432012 @default.
- W1993166243 countsByYear W19931662432013 @default.
- W1993166243 countsByYear W19931662432014 @default.
- W1993166243 countsByYear W19931662432015 @default.
- W1993166243 countsByYear W19931662432016 @default.
- W1993166243 countsByYear W19931662432017 @default.
- W1993166243 countsByYear W19931662432018 @default.
- W1993166243 countsByYear W19931662432019 @default.
- W1993166243 countsByYear W19931662432020 @default.
- W1993166243 crossrefType "journal-article" @default.
- W1993166243 hasAuthorship W1993166243A5012806004 @default.
- W1993166243 hasAuthorship W1993166243A5039665879 @default.
- W1993166243 hasAuthorship W1993166243A5047539408 @default.
- W1993166243 hasAuthorship W1993166243A5060985095 @default.
- W1993166243 hasAuthorship W1993166243A5084601962 @default.
- W1993166243 hasBestOaLocation W19931662432 @default.
- W1993166243 hasConcept C11413529 @default.
- W1993166243 hasConcept C133095886 @default.
- W1993166243 hasConcept C145108525 @default.
- W1993166243 hasConcept C159694833 @default.
- W1993166243 hasConcept C173608175 @default.
- W1993166243 hasConcept C199360897 @default.
- W1993166243 hasConcept C2778119891 @default.
- W1993166243 hasConcept C2778770139 @default.
- W1993166243 hasConcept C2779982483 @default.
- W1993166243 hasConcept C35912277 @default.
- W1993166243 hasConcept C41008148 @default.
- W1993166243 hasConcept C45374587 @default.
- W1993166243 hasConcept C459310 @default.
- W1993166243 hasConcept C49154492 @default.
- W1993166243 hasConcept C9390403 @default.
- W1993166243 hasConcept C96972482 @default.
- W1993166243 hasConceptScore W1993166243C11413529 @default.
- W1993166243 hasConceptScore W1993166243C133095886 @default.
- W1993166243 hasConceptScore W1993166243C145108525 @default.
- W1993166243 hasConceptScore W1993166243C159694833 @default.
- W1993166243 hasConceptScore W1993166243C173608175 @default.
- W1993166243 hasConceptScore W1993166243C199360897 @default.
- W1993166243 hasConceptScore W1993166243C2778119891 @default.
- W1993166243 hasConceptScore W1993166243C2778770139 @default.
- W1993166243 hasConceptScore W1993166243C2779982483 @default.
- W1993166243 hasConceptScore W1993166243C35912277 @default.
- W1993166243 hasConceptScore W1993166243C41008148 @default.
- W1993166243 hasConceptScore W1993166243C45374587 @default.
- W1993166243 hasConceptScore W1993166243C459310 @default.
- W1993166243 hasConceptScore W1993166243C49154492 @default.
- W1993166243 hasConceptScore W1993166243C9390403 @default.
- W1993166243 hasConceptScore W1993166243C96972482 @default.
- W1993166243 hasIssue "8" @default.
- W1993166243 hasLocation W19931662431 @default.
- W1993166243 hasLocation W19931662432 @default.
- W1993166243 hasOpenAccess W1993166243 @default.
- W1993166243 hasPrimaryLocation W19931662431 @default.
- W1993166243 hasRelatedWork W1967350648 @default.
- W1993166243 hasRelatedWork W1993166243 @default.
- W1993166243 hasRelatedWork W2047488287 @default.
- W1993166243 hasRelatedWork W2076361081 @default.
- W1993166243 hasRelatedWork W2609129018 @default.
- W1993166243 hasRelatedWork W2989065226 @default.
- W1993166243 hasRelatedWork W3211416786 @default.
- W1993166243 hasRelatedWork W4214765606 @default.
- W1993166243 hasRelatedWork W4224314965 @default.
- W1993166243 hasRelatedWork W4313406770 @default.
- W1993166243 hasVolume "37" @default.
- W1993166243 isParatext "false" @default.
- W1993166243 isRetracted "false" @default.
- W1993166243 magId "1993166243" @default.
- W1993166243 workType "article" @default.