About: A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices.

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We describe a novel technique for computing a sparse incomplete factorization of a general symmetric positive definite matrix A. The factorization is not based on the Cholesky algorithm 9or Gaussian elimination0, but on A-orthogonalization. Thus, the incomplete factorization always exists and can be computed without any diagonal modification. When used in conjunction with the conjugate gradient algorithin, the new preconditioner results in a reliable solver for highly ill-conditioned linear systems. Comparisons with other incomplete factorization techniques using challenging linear systems from structural analysis and solid mechanics problems are presented. We describe a novel technique for computing a sparse incomplete factorization of a general symmetric positive definite matrix A. The factorization is not based on the Cholesky algorithm 9or Gaussian elimination0, but on A-orthogonalization. Thus, the incomplete factorization always exists and can be computed without any diagonal modification. When used in conjunction with the conjugate gradient algorithin, the new preconditioner results in a reliable solver for highly ill-conditioned linear systems. Comparisons with other incomplete factorization techniques using challenging linear systems from structural analysis and solid mechanics problems are presented. (en)
Title	A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices. A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices. (en)
skos:prefLabel	A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices. A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices. (en)
skos:notation	RIV/67985807:_____/03:06030114!RIV/2004/AV0/A06004/N
http://linked.open.../vavai/riv/strany	385;400
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1030103), P(IAA2030801), Z(AV0Z1030915)
http://linked.open...iv/cisloPeriodika	N/A
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Tůma, Miroslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	597119
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/03:06030114
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	sparse linear systems; positive definite matrices; preconditioned conjugate gradients; incomplete factorization; A-orthogonalization; SAINV (en)
http://linked.open.../riv/klicoveSlovo	A-orthogonalization SAINV incomplete factorization preconditioned conjugate gradients positive definite matrices sparse linear systems
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[55CDC17DA015]
http://linked.open...i/riv/nazevZdroje	Numerical Linear Algebra with Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Scalable Sparse Linear Algebraic Solvers: Analysis, Development, Implementation and Application Parallelization of computer processing
http://linked.open...UplatneniVysledku	2003
http://linked.open...v/svazekPeriodika	10
http://linked.open...iv/tvurceVysledku	Tůma, Miroslav Benzi, M.
http://linked.open...n/vavai/riv/zamer	Nové informatické technologie - teoretické základy, metodologie, prostředky a aplikace
issn	1070-5325
number of pages	16 (xsd:int)

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