Wavelet based deflation of conjugate gradient method

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10237656" target="_blank" >RIV/61989100:27240/17:10237656 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/17:10237656
Result on the web
<a href="http://www.ctresources.info/ccp/paper.html?id=9231" target="_blank" >http://www.ctresources.info/ccp/paper.html?id=9231</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4203/ccp.111.9" target="_blank" >10.4203/ccp.111.9</a>

Result language
angličtina
Original language name
Wavelet based deflation of conjugate gradient method
Original language description
This paper introduces a Krylov subspace deflation technique based on a discrete wavelet compression. This technique is based on an observation that the deflation coarse problem matrix is closely related to a matrix obtained by a discrete wavelet transformation. Thanks to this observation, we know exactly how the deflation space should look like. Moreover, we can directly and cheaply assemble this space. We showcase both numerical and performance aspects of our approach on the deflated conjugate gradient method. However, our findings should be also valid for other deflated Krylov subspace methods, like GMRES or MINRES.
Czech name
—
Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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