About: On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
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 (en)
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 (en)
skos:notation	RIV/61989592:15310/12:33141645!RIV13-MSM-15310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GA101/08/0574), S, Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Machalová, Jitka
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	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	156429
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/12:33141645
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	condition number; domain decomposition methods; saddle-point systems; orthogonal projectors; Moore-Penrose inverse (en)
http://linked.open.../riv/klicoveSlovo	condition number domain decomposition methods Moore-Penrose inverse orthogonal projectors saddle-point systems
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[56FE65208C87]
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	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Solution to very complex contact problems with other non-linearities by modern mathematical methods
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	19
http://linked.open...iv/tvurceVysledku	Kozubek, Tomáš Markopoulos, Alexandros Kučera, Radek Machalová, Jitka
http://linked.open...ain/vavai/riv/wos	000306278800005
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	1070-5325
number of pages	23 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/nla.798
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	On the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blocks

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 48 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software