Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F23%3A00579035" target="_blank" >RIV/68145535:_____/23:00579035 - isvavai.cz</a>
Result on the web
<a href="https://epubs.siam.org/doi/10.1137/21M1466955" target="_blank" >https://epubs.siam.org/doi/10.1137/21M1466955</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/21M1466955" target="_blank" >10.1137/21M1466955</a>
Alternative languages
Result language
angličtina
Original language name
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners
Original language description
Preconditioning for Krylov methods often relies on operator theory when mesh independent estimates are looked for. The goal of this paper is to contribute to the long development of the analysis of superlinear convergence of Krylov iterations when the preconditioned operator is a compact perturbation of the identity. Mesh independent superlinear convergence of GMRES and CGN iterations is derived for Galerkin solutions for complex non-Hermitian and noncoercive operators. The results are applied to noncoercive boundary value problems, including shifted Laplacian preconditioners for Helmholtz problem
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
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
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 Numerical Analysis
ISSN
0036-1429
e-ISSN
1095-7170
Volume of the periodical
61
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
1057-1079
UT code for WoS article
000996502200017
EID of the result in the Scopus database
2-s2.0-85156116619