THE STABILITY OF SPLIT-PRECONDITIONED FGMRES IN FOUR PRECISIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493577" target="_blank" >RIV/00216208:11320/24:10493577 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zM9UKRrORu" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zM9UKRrORu</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1553/etna_vol60s40" target="_blank" >10.1553/etna_vol60s40</a>

Result language
angličtina
Original language name
THE STABILITY OF SPLIT-PRECONDITIONED FGMRES IN FOUR PRECISIONS
Original language description
We consider the split-preconditioned FGMRES method in a mixed-precision framework, in which four potentially different precisions can be used for computations with the coefficient matrix, application of the left preconditioner, application of the right preconditioner, and the working precision. Our analysis is applicable to general preconditioners. We obtain bounds for the backward and forward errors in the split-preconditioned FGMRES method. Our analysis further provides insight into how the various precisions should be chosen; under certain assumptions, a suitable selection guarantees a backward error of the order of the working precision.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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