Optimality properties of a square block matrix preconditioner with applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00534408" target="_blank" >RIV/68145535:_____/20:00534408 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0898122119304808" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0898122119304808</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2019.09.024" target="_blank" >10.1016/j.camwa.2019.09.024</a>

Result language
angličtina
Original language name
Optimality properties of a square block matrix preconditioner with applications
Original language description
A preconditioned square block matrix, called PRESB has previously been applied successfully and, for more standard type of problems, have been shown to have eigenvalue bounds in the interval , which holds uniformly with respect to all parameters involved. Having such fixed bounds enables the use of an inner-product free acceleration method, such as the Chebyshev iterative method. Here it is shown that the method can be applied also for some more general problems, where the spectrum contains outlier eigenvalues larger than unity and that one can apply a polynomially modified version of the Chebyshev method for such problems.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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