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Statements

Subject Item
n2:RIV%2F67985807%3A_____%2F02%3A06020042%21RIV%2F2003%2FAV0%2FA06003%2FN
rdf:type
n6:Vysledek skos:Concept
dcterms:description
We consider the parallel computation of the stationary probability distribution vector of ergodic Markov chains with large state spaces by preconditioned Krylov subspace methods. The parallel preconditioner is obtained as an explicit approximation, in factorized form, of a particular generalized inverse of the generator matrix of the Markov process. Graph partitioning is used to parallelize the whole algorithm, resulting in a two-level method. Conditions that guarantee the existence of the preconditioner... We consider the parallel computation of the stationary probability distribution vector of ergodic Markov chains with large state spaces by preconditioned Krylov subspace methods. The parallel preconditioner is obtained as an explicit approximation, in factorized form, of a particular generalized inverse of the generator matrix of the Markov process. Graph partitioning is used to parallelize the whole algorithm, resulting in a two-level method. Conditions that guarantee the existence of the preconditioner...
dcterms:title
A Parallel Solver for Large-Scale Markov Chains. A Parallel Solver for Large-Scale Markov Chains.
skos:prefLabel
A Parallel Solver for Large-Scale Markov Chains. A Parallel Solver for Large-Scale Markov Chains.
skos:notation
RIV/67985807:_____/02:06020042!RIV/2003/AV0/A06003/N
n3:strany
135;153
n3:aktivita
n5:P n5:Z
n3:aktivity
P(GA101/00/1035), P(IAA2030801), Z(AV0Z1030915)
n3:cisloPeriodika
N/A
n3:dodaniDat
n13:2003
n3:domaciTvurceVysledku
n16:7116802
n3:druhVysledku
n17:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
637142
n3:idVysledku
RIV/67985807:_____/02:06020042
n3:jazykVysledku
n15:eng
n3:klicovaSlova
parallel preconditioning; iterative methods; discrete Markov chains; generalized inverses; singular matrices; graph partitioning; AINV; Bi-CGSTAB
n3:klicoveSlovo
n8:parallel%20preconditioning n8:iterative%20methods n8:Bi-CGSTAB n8:graph%20partitioning n8:AINV n8:discrete%20Markov%20chains n8:singular%20matrices n8:generalized%20inverses
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[6C6F726ED995]
n3:nazevZdroje
Applied Numerical Mathematics
n3:obor
n9:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:pocetUcastnikuAkce
0
n3:pocetZahranicnichUcastnikuAkce
0
n3:projekt
n4:GA101%2F00%2F1035 n4:IAA2030801
n3:rokUplatneniVysledku
n13:2002
n3:svazekPeriodika
41
n3:tvurceVysledku
Tůma, Miroslav Benzi, M.
n3:zamer
n10:AV0Z1030915
s:issn
0168-9274
s:numberOfPages
19