On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33141645" target="_blank" >RIV/61989592:15310/12:33141645 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27240/12:86084412 RIV/61989100:27740/12:86084412 RIV/61989100:27600/12:86084412
Result on the web
<a href="http://dx.doi.org/10.1002/nla.798" target="_blank" >http://dx.doi.org/10.1002/nla.798</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.798" target="_blank" >10.1002/nla.798</a>
Alternative languages
Result language
angličtina
Original language name
On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks
Original language description
This paper deals with the role of the generalized inverses in solving saddle-point systems arising naturally in the solution of many scientific and engineering problems when finite-element tearing and interconnecting based domain decomposition methods are used to the numerical solution. It was shown that the Moore-Penrose inverse may be obtained in this case at negligible cost by projecting an arbitrary generalized inverse using orthogonal projectors. Applying an eigenvalue analysis based on the Moore-Penrose inverse, we proved that for simple model problems, the number of conjugate gradient iterations required for the solution of associate dual systems does not depend on discretization norms. The theoretical results were confirmed by numerical experiments with linear elasticity problems.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA101%2F08%2F0574" target="_blank" >GA101/08/0574: Solution to very complex contact problems with other non-linearities by modern mathematical methods</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerical Linear Algebra with Applications
ISSN
1070-5325
e-ISSN
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Volume of the periodical
19
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
677-699
UT code for WoS article
000306278800005
EID of the result in the Scopus database
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