Matches in SemOpenAlex for { <https://semopenalex.org/work/W1993531511> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W1993531511 endingPage "158" @default.
- W1993531511 startingPage "135" @default.
- W1993531511 abstract "Some of the most efficient iterative algorithms for large sparse Hermitian matrix computations are based on orthogonal or kernel polynomials. For the case of non-Hermitian matrices, methods based on orthogonal or kernel polynomials are less satisfactory, in that the resulting algorithms involve long recurrences. Consequently, it is usually too expensive to run the full algorithms and restarts are necessary. A typical example is the generalized minimal residual method (GMRES) for solving non-Hermitian linear systems, where work and storage per iteration grow linearly with the iteration number. Recently, two quasi-minimal residual methods (QMR) for solving non-Hermitian linear systems have been proposed, which — unlike GMRES — are based on short recurrences and hence can be used as true iterative schemes, without restarts. In this paper, the concept of quasi-kernel polynomials is introduced. Some general theory for quasi-kernel polynomials is developed, such as recurrence relations and a characterization of roots of quasi-kernel polynomials as generalized eigenvalues. It is pointed out that the QMR approaches are based on two particular instances of quasi-kernel polynomials. Also, the use of quasi-kernel polynomials for approximating eigenvalues or pseudospectra of large sparse non-Hermitian matrices is briefly discussed." @default.
- W1993531511 created "2016-06-24" @default.
- W1993531511 creator A5004737240 @default.
- W1993531511 date "1992-11-01" @default.
- W1993531511 modified "2023-09-23" @default.
- W1993531511 title "Quasi-kernel polynomials and their use in non-Hermitian matrix iterations" @default.
- W1993531511 cites W101236918 @default.
- W1993531511 cites W1965366611 @default.
- W1993531511 cites W2021810545 @default.
- W1993531511 cites W2030489538 @default.
- W1993531511 cites W2040298674 @default.
- W1993531511 cites W2042255949 @default.
- W1993531511 cites W2047344035 @default.
- W1993531511 cites W2048659456 @default.
- W1993531511 cites W2049644675 @default.
- W1993531511 cites W2072080134 @default.
- W1993531511 cites W2083676493 @default.
- W1993531511 cites W2085259167 @default.
- W1993531511 cites W2117686912 @default.
- W1993531511 cites W2117949169 @default.
- W1993531511 cites W2140153041 @default.
- W1993531511 cites W2316564661 @default.
- W1993531511 cites W4251074344 @default.
- W1993531511 doi "https://doi.org/10.1016/0377-0427(92)90263-w" @default.
- W1993531511 hasPublicationYear "1992" @default.
- W1993531511 type Work @default.
- W1993531511 sameAs 1993531511 @default.
- W1993531511 citedByCount "69" @default.
- W1993531511 countsByYear W19935315112013 @default.
- W1993531511 countsByYear W19935315112014 @default.
- W1993531511 countsByYear W19935315112016 @default.
- W1993531511 countsByYear W19935315112017 @default.
- W1993531511 countsByYear W19935315112018 @default.
- W1993531511 countsByYear W19935315112020 @default.
- W1993531511 countsByYear W19935315112021 @default.
- W1993531511 countsByYear W19935315112022 @default.
- W1993531511 countsByYear W19935315112023 @default.
- W1993531511 crossrefType "journal-article" @default.
- W1993531511 hasAuthorship W1993531511A5004737240 @default.
- W1993531511 hasBestOaLocation W19935315111 @default.
- W1993531511 hasConcept C10628310 @default.
- W1993531511 hasConcept C11413529 @default.
- W1993531511 hasConcept C114614502 @default.
- W1993531511 hasConcept C121332964 @default.
- W1993531511 hasConcept C136119220 @default.
- W1993531511 hasConcept C155332342 @default.
- W1993531511 hasConcept C155512373 @default.
- W1993531511 hasConcept C158693339 @default.
- W1993531511 hasConcept C201292218 @default.
- W1993531511 hasConcept C202444582 @default.
- W1993531511 hasConcept C28826006 @default.
- W1993531511 hasConcept C33923547 @default.
- W1993531511 hasConcept C62520636 @default.
- W1993531511 hasConcept C74193536 @default.
- W1993531511 hasConcept C94940 @default.
- W1993531511 hasConceptScore W1993531511C10628310 @default.
- W1993531511 hasConceptScore W1993531511C11413529 @default.
- W1993531511 hasConceptScore W1993531511C114614502 @default.
- W1993531511 hasConceptScore W1993531511C121332964 @default.
- W1993531511 hasConceptScore W1993531511C136119220 @default.
- W1993531511 hasConceptScore W1993531511C155332342 @default.
- W1993531511 hasConceptScore W1993531511C155512373 @default.
- W1993531511 hasConceptScore W1993531511C158693339 @default.
- W1993531511 hasConceptScore W1993531511C201292218 @default.
- W1993531511 hasConceptScore W1993531511C202444582 @default.
- W1993531511 hasConceptScore W1993531511C28826006 @default.
- W1993531511 hasConceptScore W1993531511C33923547 @default.
- W1993531511 hasConceptScore W1993531511C62520636 @default.
- W1993531511 hasConceptScore W1993531511C74193536 @default.
- W1993531511 hasConceptScore W1993531511C94940 @default.
- W1993531511 hasIssue "1-2" @default.
- W1993531511 hasLocation W19935315111 @default.
- W1993531511 hasOpenAccess W1993531511 @default.
- W1993531511 hasPrimaryLocation W19935315111 @default.
- W1993531511 hasRelatedWork W1975713539 @default.
- W1993531511 hasRelatedWork W1984283576 @default.
- W1993531511 hasRelatedWork W1993237915 @default.
- W1993531511 hasRelatedWork W1993531511 @default.
- W1993531511 hasRelatedWork W2006651457 @default.
- W1993531511 hasRelatedWork W2041557238 @default.
- W1993531511 hasRelatedWork W2527706105 @default.
- W1993531511 hasRelatedWork W2757608559 @default.
- W1993531511 hasRelatedWork W2804140902 @default.
- W1993531511 hasRelatedWork W4249089511 @default.
- W1993531511 hasVolume "43" @default.
- W1993531511 isParatext "false" @default.
- W1993531511 isRetracted "false" @default.
- W1993531511 magId "1993531511" @default.
- W1993531511 workType "article" @default.