Matches in SemOpenAlex for { <https://semopenalex.org/work/W2092249975> ?p ?o ?g. }
- W2092249975 abstract "Perturbation bounds for the generalized eigenvalue problem of a diagonalizable matrix pencil A -AB with real spectrum are developed. It is shown how the chordal distances between the generalized eigenvalues and the angular distances between the generalized eigenspaces can be bounded in terms of the angular distances between the matrices. The applications of these bounds to the spectral variations of definite pencils are conducted in such a way that extra attention is paid to their peculiarities so as to derive more sophisticated perturbation bounds. Our results for generalized eigenvalues are counterparts of some celebrated theorems for the spectral variations of Hermitian matrices such as the Weyl-Lidskii theorem and the Hoffman-Wielandt theorem; and those for generalized eigenspaces are counterparts of the celebrated Davis-Kahan sin 0, sin 20 theorems for the eigenspace variations of Hermitian matrices. The paper consists of two parts. Part I is for generalized eigenvalue perturbations, while Part II deals with generalized eigenspace perturbations." @default.
- W2092249975 created "2016-06-24" @default.
- W2092249975 creator A5011252539 @default.
- W2092249975 date "1994-01-01" @default.
- W2092249975 modified "2023-09-26" @default.
- W2092249975 title "On Perturbations of Matrix Pencils with Real Spectra" @default.
- W2092249975 cites W1537906002 @default.
- W2092249975 cites W1575147392 @default.
- W2092249975 cites W1964855037 @default.
- W2092249975 cites W1970136394 @default.
- W2092249975 cites W1970377488 @default.
- W2092249975 cites W1970892152 @default.
- W2092249975 cites W1971398013 @default.
- W2092249975 cites W1973208521 @default.
- W2092249975 cites W1976384891 @default.
- W2092249975 cites W1978541146 @default.
- W2092249975 cites W1999009163 @default.
- W2092249975 cites W2011906094 @default.
- W2092249975 cites W2014042806 @default.
- W2092249975 cites W2023782398 @default.
- W2092249975 cites W2033227498 @default.
- W2092249975 cites W2037561790 @default.
- W2092249975 cites W2038982442 @default.
- W2092249975 cites W2048250725 @default.
- W2092249975 cites W2064980127 @default.
- W2092249975 cites W2069705790 @default.
- W2092249975 cites W2077205953 @default.
- W2092249975 cites W2100944712 @default.
- W2092249975 cites W2107078306 @default.
- W2092249975 cites W2139720540 @default.
- W2092249975 cites W2152715854 @default.
- W2092249975 cites W2166259197 @default.
- W2092249975 cites W2610857016 @default.
- W2092249975 cites W2791719834 @default.
- W2092249975 cites W658559791 @default.
- W2092249975 cites W98194072 @default.
- W2092249975 doi "https://doi.org/10.2307/2153406" @default.
- W2092249975 hasPublicationYear "1994" @default.
- W2092249975 type Work @default.
- W2092249975 sameAs 2092249975 @default.
- W2092249975 citedByCount "18" @default.
- W2092249975 countsByYear W20922499752013 @default.
- W2092249975 countsByYear W20922499752016 @default.
- W2092249975 countsByYear W20922499752019 @default.
- W2092249975 countsByYear W20922499752021 @default.
- W2092249975 crossrefType "journal-article" @default.
- W2092249975 hasAuthorship W2092249975A5011252539 @default.
- W2092249975 hasBestOaLocation W20922499751 @default.
- W2092249975 hasConcept C106487976 @default.
- W2092249975 hasConcept C121332964 @default.
- W2092249975 hasConcept C134306372 @default.
- W2092249975 hasConcept C1576492 @default.
- W2092249975 hasConcept C158693339 @default.
- W2092249975 hasConcept C159985019 @default.
- W2092249975 hasConcept C169756996 @default.
- W2092249975 hasConcept C177918212 @default.
- W2092249975 hasConcept C192562407 @default.
- W2092249975 hasConcept C202444582 @default.
- W2092249975 hasConcept C30072841 @default.
- W2092249975 hasConcept C33923547 @default.
- W2092249975 hasConcept C34388435 @default.
- W2092249975 hasConcept C46865736 @default.
- W2092249975 hasConcept C54848796 @default.
- W2092249975 hasConcept C62520636 @default.
- W2092249975 hasConcept C94940 @default.
- W2092249975 hasConceptScore W2092249975C106487976 @default.
- W2092249975 hasConceptScore W2092249975C121332964 @default.
- W2092249975 hasConceptScore W2092249975C134306372 @default.
- W2092249975 hasConceptScore W2092249975C1576492 @default.
- W2092249975 hasConceptScore W2092249975C158693339 @default.
- W2092249975 hasConceptScore W2092249975C159985019 @default.
- W2092249975 hasConceptScore W2092249975C169756996 @default.
- W2092249975 hasConceptScore W2092249975C177918212 @default.
- W2092249975 hasConceptScore W2092249975C192562407 @default.
- W2092249975 hasConceptScore W2092249975C202444582 @default.
- W2092249975 hasConceptScore W2092249975C30072841 @default.
- W2092249975 hasConceptScore W2092249975C33923547 @default.
- W2092249975 hasConceptScore W2092249975C34388435 @default.
- W2092249975 hasConceptScore W2092249975C46865736 @default.
- W2092249975 hasConceptScore W2092249975C54848796 @default.
- W2092249975 hasConceptScore W2092249975C62520636 @default.
- W2092249975 hasConceptScore W2092249975C94940 @default.
- W2092249975 hasLocation W20922499751 @default.
- W2092249975 hasOpenAccess W2092249975 @default.
- W2092249975 hasPrimaryLocation W20922499751 @default.
- W2092249975 hasRelatedWork W1964855037 @default.
- W2092249975 hasRelatedWork W1966156785 @default.
- W2092249975 hasRelatedWork W1970136394 @default.
- W2092249975 hasRelatedWork W1970377488 @default.
- W2092249975 hasRelatedWork W1970892152 @default.
- W2092249975 hasRelatedWork W1971398013 @default.
- W2092249975 hasRelatedWork W1973208521 @default.
- W2092249975 hasRelatedWork W2015039883 @default.
- W2092249975 hasRelatedWork W2038982442 @default.
- W2092249975 hasRelatedWork W2048250725 @default.
- W2092249975 hasRelatedWork W2059586807 @default.
- W2092249975 hasRelatedWork W2064980127 @default.
- W2092249975 hasRelatedWork W2066744973 @default.
- W2092249975 hasRelatedWork W2069705790 @default.
- W2092249975 hasRelatedWork W2082018619 @default.