Parameter modified versions of preconditioning and iterative inner product free refinement methods for two-by-two block matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F19%3A00509852" target="_blank" >RIV/68145535:_____/19:00509852 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0024379519303118" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0024379519303118</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2019.07.024" target="_blank" >10.1016/j.laa.2019.07.024</a>
Alternative languages
Result language
angličtina
Original language name
Parameter modified versions of preconditioning and iterative inner product free refinement methods for two-by-two block matrices
Original language description
A special two-by-two block matrix form arises in many important applications. Extending earlier results it is shown that parameter modified versions of a very efficient preconditioner does not improve its rate of convergence. This holds also for iterative refinement methods corresponding to a few fixed steps of the Chebyshev accelerated method. The parameter version can improve the defect-correction method but the convergence of this method is slower than an iterative refinement method with an optimal parameter. The paper includes also a discussion of how one can save computer elapsed times by avoiding use of global inner products such as by use of a Chebyshev accelerated method instead of a Krylov subspace method. Since accurate and even sharp eigenvalue bounds are available, the Chebyshev iteration method converges as fast as the Krylov subspace method.
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
<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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Linear Algebra and Its Applications
ISSN
0024-3795
e-ISSN
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Volume of the periodical
582
Issue of the periodical within the volume
December 2019
Country of publishing house
US - UNITED STATES
Number of pages
27
Pages from-to
403-429
UT code for WoS article
000489000000020
EID of the result in the Scopus database
2-s2.0-85070910739