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dc.contributor.authorKučera, Radek
dc.contributor.authorKozubek, Tomáš
dc.contributor.authorMarkopoulos, Alexandros
dc.contributor.authorMachalová, Jitka
dc.date.accessioned2012-08-03T10:04:43Z
dc.date.available2012-08-03T10:04:43Z
dc.date.issued2012
dc.identifier.citationNumerical linear algebra with applications. 2012, vol. 19, issues 4, p. 677-699.cs
dc.identifier.issn1070-5325
dc.identifier.issn1099-1506
dc.identifier.urihttp://hdl.handle.net/10084/94957
dc.description.abstractThis 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.cs
dc.format.extent981388 bytescs
dc.format.mimetypeapplication/pdfcs
dc.language.isoencs
dc.publisherWileycs
dc.relation.ispartofseriesNumerical linear algebra with applicationscs
dc.relation.urihttp://dx.doi.org/10.1002/nla.798cs
dc.subjectMoore–Penrose inversecs
dc.subjectorthogonal projectorscs
dc.subjectsaddle-point systemscs
dc.subjectdomain decomposition methodscs
dc.subjectcondition numbercs
dc.titleOn the Moore-Penrose inverse in solving saddle-point systems with singular diagonal blockscs
dc.typearticlecs
dc.identifier.locationNení ve fondu ÚKcs
dc.identifier.doi10.1002/nla.798
dc.rights.accessopenAccess
dc.type.versionsubmittedVersion
dc.type.statusPeer-reviewedcs
dc.description.sourceWeb of Sciencecs
dc.description.volume19cs
dc.description.issue4cs
dc.description.lastpage699cs
dc.description.firstpage677cs
dc.identifier.wos000306278800005


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