The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00495023" target="_blank" >RIV/67985840:_____/18:00495023 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/18:10384838
Result on the web
<a href="http://dx.doi.org/10.1137/16M1103361" target="_blank" >http://dx.doi.org/10.1137/16M1103361</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/16M1103361" target="_blank" >10.1137/16M1103361</a>
Alternative languages
Result language
angličtina
Original language name
The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology
Original language description
Algebraic solvers based on preconditioned Krylov subspace methods are among the most powerful tools for large-scale numerical computations in applied mathematics, sciences, technology, as well as in emerging applications in social sciences. As the name suggests, Krylov subspace methods can be viewed as a sequence of projections onto nested subspaces of increasing dimension. They are therefore by their nature implemented as synchronized recurrences. This is the fundamental obstacle to efficient parallel implementation. Standard approaches to overcoming this obstacle described in the literature involve reducing the number of global synchronization points and increasing parallelism in performing arithmetic operations within individual iterations. One such approach, employed by the so-called pipelined Krylov subspace methods, involves overlapping the global communication needed for computing inner products with local arithmetic computations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Scientific Computing
ISSN
1064-8275
e-ISSN
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Volume of the periodical
40
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
32
Pages from-to
"A3549"-"A3580"
UT code for WoS article
000448803100029
EID of the result in the Scopus database
2-s2.0-85056122511