Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F71226401%3A_____%2F17%3AN0008149" target="_blank" >RIV/71226401:_____/17:N0008149 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/17:00308302
Result on the web
<a href="http://link.springer.com/article/10.21136/AM.2017.0101-16" target="_blank" >http://link.springer.com/article/10.21136/AM.2017.0101-16</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2017.0101-16" target="_blank" >10.21136/AM.2017.0101-16</a>
Alternative languages
Result language
angličtina
Original language name
Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother
Original language description
We extend the analysis of the recently proposed nonlinear EIS scheme applied to the partial eigenvalue problem. We address the case where the Rayleigh quotient iteration is used as the smoother on the fine-level. Unlike in our previous theoretical results, where the smoother given by the linear inverse power method is assumed, we prove nonlinear speed-up when the approximation becomes close to the exact solution. The speed-up is cubic. Unlike existent convergence estimates for the Rayleigh quotient iteration, our estimates take advantage of the powerful effect of the coarse-space.
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
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
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Volume of the periodical
62
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
25
Pages from-to
49-73
UT code for WoS article
000395867200004
EID of the result in the Scopus database
2-s2.0-85014625496