Matches in SemOpenAlex for { <https://semopenalex.org/work/W2021088067> ?p ?o ?g. }
- W2021088067 endingPage "2844" @default.
- W2021088067 startingPage "2828" @default.
- W2021088067 abstract "In this article, we will study the link between a method for computing eigenvalues closest to the imaginary axis and the implicitly restarted Arnoldi method. The extension to computing eigenvalues closest to a vertical line is straightforward, by incorporating a shift. Without loss of generality we will restrict ourselves here to computing eigenvalues closest to the imaginary axis. In a recent publication, Meerbergen and Spence discussed a new approach for detecting purely imaginary eigenvalues corresponding to Hopf bifurcations, which is of interest for the stability of dynamical systems. The novel method is based on inverse iteration (inverse power method) applied on a Lyapunov-like eigenvalue problem. To reduce the computational overhead significantly a projection was added. This method can also be used for computing eigenvalues of a matrix pencil near a vertical line in the complex plane. We will prove in this paper that the combination of inverse iteration with the projection step is equivalent to Sorensen’s implicitly restarted Arnoldi method utilizing well-chosen shifts." @default.
- W2021088067 created "2016-06-24" @default.
- W2021088067 creator A5039999347 @default.
- W2021088067 creator A5079388991 @default.
- W2021088067 date "2012-04-01" @default.
- W2021088067 modified "2023-10-09" @default.
- W2021088067 title "A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line" @default.
- W2021088067 cites W1971485947 @default.
- W2021088067 cites W1978115611 @default.
- W2021088067 cites W1979655951 @default.
- W2021088067 cites W1984263725 @default.
- W2021088067 cites W1986268008 @default.
- W2021088067 cites W2000118250 @default.
- W2021088067 cites W2012210227 @default.
- W2021088067 cites W2016891181 @default.
- W2021088067 cites W2022226008 @default.
- W2021088067 cites W2032919707 @default.
- W2021088067 cites W2033029203 @default.
- W2021088067 cites W2034274983 @default.
- W2021088067 cites W2035387301 @default.
- W2021088067 cites W2036191408 @default.
- W2021088067 cites W2038456825 @default.
- W2021088067 cites W2043994139 @default.
- W2021088067 cites W2044809217 @default.
- W2021088067 cites W2060003085 @default.
- W2021088067 cites W2061025600 @default.
- W2021088067 cites W2062677771 @default.
- W2021088067 cites W2069262775 @default.
- W2021088067 cites W2088748973 @default.
- W2021088067 cites W2097390250 @default.
- W2021088067 cites W2106074077 @default.
- W2021088067 cites W2110458413 @default.
- W2021088067 cites W2124956430 @default.
- W2021088067 cites W2162144261 @default.
- W2021088067 doi "https://doi.org/10.1016/j.laa.2011.07.020" @default.
- W2021088067 hasPublicationYear "2012" @default.
- W2021088067 type Work @default.
- W2021088067 sameAs 2021088067 @default.
- W2021088067 citedByCount "10" @default.
- W2021088067 countsByYear W20210880672012 @default.
- W2021088067 countsByYear W20210880672013 @default.
- W2021088067 countsByYear W20210880672014 @default.
- W2021088067 countsByYear W20210880672015 @default.
- W2021088067 countsByYear W20210880672017 @default.
- W2021088067 countsByYear W20210880672018 @default.
- W2021088067 countsByYear W20210880672019 @default.
- W2021088067 crossrefType "journal-article" @default.
- W2021088067 hasAuthorship W2021088067A5039999347 @default.
- W2021088067 hasAuthorship W2021088067A5079388991 @default.
- W2021088067 hasBestOaLocation W20210880671 @default.
- W2021088067 hasConcept C109565186 @default.
- W2021088067 hasConcept C11413529 @default.
- W2021088067 hasConcept C121332964 @default.
- W2021088067 hasConcept C127413603 @default.
- W2021088067 hasConcept C134306372 @default.
- W2021088067 hasConcept C134949993 @default.
- W2021088067 hasConcept C1576492 @default.
- W2021088067 hasConcept C158693339 @default.
- W2021088067 hasConcept C159694833 @default.
- W2021088067 hasConcept C162443888 @default.
- W2021088067 hasConcept C179117685 @default.
- W2021088067 hasConcept C207467116 @default.
- W2021088067 hasConcept C2505209 @default.
- W2021088067 hasConcept C2524010 @default.
- W2021088067 hasConcept C28826006 @default.
- W2021088067 hasConcept C33923547 @default.
- W2021088067 hasConcept C43143463 @default.
- W2021088067 hasConcept C54848796 @default.
- W2021088067 hasConcept C57493831 @default.
- W2021088067 hasConcept C62520636 @default.
- W2021088067 hasConcept C69044650 @default.
- W2021088067 hasConcept C78519656 @default.
- W2021088067 hasConceptScore W2021088067C109565186 @default.
- W2021088067 hasConceptScore W2021088067C11413529 @default.
- W2021088067 hasConceptScore W2021088067C121332964 @default.
- W2021088067 hasConceptScore W2021088067C127413603 @default.
- W2021088067 hasConceptScore W2021088067C134306372 @default.
- W2021088067 hasConceptScore W2021088067C134949993 @default.
- W2021088067 hasConceptScore W2021088067C1576492 @default.
- W2021088067 hasConceptScore W2021088067C158693339 @default.
- W2021088067 hasConceptScore W2021088067C159694833 @default.
- W2021088067 hasConceptScore W2021088067C162443888 @default.
- W2021088067 hasConceptScore W2021088067C179117685 @default.
- W2021088067 hasConceptScore W2021088067C207467116 @default.
- W2021088067 hasConceptScore W2021088067C2505209 @default.
- W2021088067 hasConceptScore W2021088067C2524010 @default.
- W2021088067 hasConceptScore W2021088067C28826006 @default.
- W2021088067 hasConceptScore W2021088067C33923547 @default.
- W2021088067 hasConceptScore W2021088067C43143463 @default.
- W2021088067 hasConceptScore W2021088067C54848796 @default.
- W2021088067 hasConceptScore W2021088067C57493831 @default.
- W2021088067 hasConceptScore W2021088067C62520636 @default.
- W2021088067 hasConceptScore W2021088067C69044650 @default.
- W2021088067 hasConceptScore W2021088067C78519656 @default.
- W2021088067 hasIssue "8" @default.
- W2021088067 hasLocation W20210880671 @default.
- W2021088067 hasLocation W20210880672 @default.
- W2021088067 hasOpenAccess W2021088067 @default.