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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F12%3A33141645%21RIV13-MSM-15310___
rdf:type
n12:Vysledek skos:Concept
dcterms: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. 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.
dcterms:title
On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks
skos:prefLabel
On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks
skos:notation
RIV/61989592:15310/12:33141645!RIV13-MSM-15310___
n12:predkladatel
n19:orjk%3A15310
n3:aktivita
n20:S n20:P n20:Z
n3:aktivity
P(GA101/08/0574), S, Z(MSM6198910027)
n3:cisloPeriodika
4
n3:dodaniDat
n4:2013
n3:domaciTvurceVysledku
n10:7561091
n3:druhVysledku
n18:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n21:predkladatel
n3:idSjednocenehoVysledku
156429
n3:idVysledku
RIV/61989592:15310/12:33141645
n3:jazykVysledku
n16:eng
n3:klicovaSlova
condition number; domain decomposition methods; saddle-point systems; orthogonal projectors; Moore-Penrose inverse
n3:klicoveSlovo
n5:domain%20decomposition%20methods n5:orthogonal%20projectors n5:condition%20number n5:Moore-Penrose%20inverse n5:saddle-point%20systems
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[56FE65208C87]
n3:nazevZdroje
Numerical Linear Algebra with Applications
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n8:GA101%2F08%2F0574
n3:rokUplatneniVysledku
n4:2012
n3:svazekPeriodika
19
n3:tvurceVysledku
Kozubek, Tomáš Markopoulos, Alexandros Kučera, Radek Machalová, Jitka
n3:wos
000306278800005
n3:zamer
n9:MSM6198910027
s:issn
1070-5325
s:numberOfPages
23
n17:doi
10.1002/nla.798
n11:organizacniJednotka
15310