Matches in SemOpenAlex for { <https://semopenalex.org/work/W1988378097> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W1988378097 endingPage "591" @default.
- W1988378097 startingPage "580" @default.
- W1988378097 abstract "A real symmetric matrix of order n has a full set of orthogonal eigenvectors. The most used approach to compute the spectrum of such matrices reduces first the dense symmetric matrix into a symmetric structured one, i.e., tridiagonal matrices or semiseparable matrices. This step is accomplished in O(n3) operations. Once the latter symmetric structured matrix is available, its spectrum is computed in an iterative fashion by means of the QR method in O(n2) operations. In principle, the whole set of eigenvectors of the latter structured matrix can be computed by means of inverse iteration in O(n2) operations. The blemish in this approach is that the computed eigenvectors may not be numerically orthogonal if clusters are present in the spectrum. To enforce orthogonality the Gram–Schmidt procedure is used, requiring O(n3) operations in the worst case. In this paper a fast and stable method to compute the eigenvectors of tridiagonal and semiseparable matrices which does not suffer from the loss of orthogonality due to the presence of clusters in the spectrum is presented. The algorithm requires O(n2) floating point operations if clusters of small size are present in the spectrum." @default.
- W1988378097 created "2016-06-24" @default.
- W1988378097 creator A5036811999 @default.
- W1988378097 creator A5039999347 @default.
- W1988378097 creator A5043369105 @default.
- W1988378097 creator A5052654029 @default.
- W1988378097 date "2006-05-01" @default.
- W1988378097 modified "2023-09-26" @default.
- W1988378097 title "On computing the eigenvectors of a class of structured matrices" @default.
- W1988378097 cites W1991758584 @default.
- W1988378097 cites W2018933986 @default.
- W1988378097 cites W2038904701 @default.
- W1988378097 cites W2070596272 @default.
- W1988378097 cites W2077270836 @default.
- W1988378097 cites W2107785791 @default.
- W1988378097 cites W2121322567 @default.
- W1988378097 doi "https://doi.org/10.1016/j.cam.2005.03.048" @default.
- W1988378097 hasPublicationYear "2006" @default.
- W1988378097 type Work @default.
- W1988378097 sameAs 1988378097 @default.
- W1988378097 citedByCount "3" @default.
- W1988378097 countsByYear W19883780972019 @default.
- W1988378097 crossrefType "journal-article" @default.
- W1988378097 hasAuthorship W1988378097A5036811999 @default.
- W1988378097 hasAuthorship W1988378097A5039999347 @default.
- W1988378097 hasAuthorship W1988378097A5043369105 @default.
- W1988378097 hasAuthorship W1988378097A5052654029 @default.
- W1988378097 hasBestOaLocation W19883780971 @default.
- W1988378097 hasConcept C106487976 @default.
- W1988378097 hasConcept C114614502 @default.
- W1988378097 hasConcept C121332964 @default.
- W1988378097 hasConcept C136119220 @default.
- W1988378097 hasConcept C156778621 @default.
- W1988378097 hasConcept C158693339 @default.
- W1988378097 hasConcept C159985019 @default.
- W1988378097 hasConcept C17137986 @default.
- W1988378097 hasConcept C192562407 @default.
- W1988378097 hasConcept C202444582 @default.
- W1988378097 hasConcept C207467116 @default.
- W1988378097 hasConcept C2524010 @default.
- W1988378097 hasConcept C28826006 @default.
- W1988378097 hasConcept C33923547 @default.
- W1988378097 hasConcept C51647924 @default.
- W1988378097 hasConcept C54848796 @default.
- W1988378097 hasConcept C62520636 @default.
- W1988378097 hasConceptScore W1988378097C106487976 @default.
- W1988378097 hasConceptScore W1988378097C114614502 @default.
- W1988378097 hasConceptScore W1988378097C121332964 @default.
- W1988378097 hasConceptScore W1988378097C136119220 @default.
- W1988378097 hasConceptScore W1988378097C156778621 @default.
- W1988378097 hasConceptScore W1988378097C158693339 @default.
- W1988378097 hasConceptScore W1988378097C159985019 @default.
- W1988378097 hasConceptScore W1988378097C17137986 @default.
- W1988378097 hasConceptScore W1988378097C192562407 @default.
- W1988378097 hasConceptScore W1988378097C202444582 @default.
- W1988378097 hasConceptScore W1988378097C207467116 @default.
- W1988378097 hasConceptScore W1988378097C2524010 @default.
- W1988378097 hasConceptScore W1988378097C28826006 @default.
- W1988378097 hasConceptScore W1988378097C33923547 @default.
- W1988378097 hasConceptScore W1988378097C51647924 @default.
- W1988378097 hasConceptScore W1988378097C54848796 @default.
- W1988378097 hasConceptScore W1988378097C62520636 @default.
- W1988378097 hasIssue "1-2" @default.
- W1988378097 hasLocation W19883780971 @default.
- W1988378097 hasLocation W19883780972 @default.
- W1988378097 hasLocation W19883780973 @default.
- W1988378097 hasOpenAccess W1988378097 @default.
- W1988378097 hasPrimaryLocation W19883780971 @default.
- W1988378097 hasRelatedWork W1711399092 @default.
- W1988378097 hasRelatedWork W1990246203 @default.
- W1988378097 hasRelatedWork W2008240981 @default.
- W1988378097 hasRelatedWork W2059557063 @default.
- W1988378097 hasRelatedWork W2104093798 @default.
- W1988378097 hasRelatedWork W2159232044 @default.
- W1988378097 hasRelatedWork W2353337315 @default.
- W1988378097 hasRelatedWork W2391075667 @default.
- W1988378097 hasRelatedWork W2969977225 @default.
- W1988378097 hasRelatedWork W4224215017 @default.
- W1988378097 hasVolume "189" @default.
- W1988378097 isParatext "false" @default.
- W1988378097 isRetracted "false" @default.
- W1988378097 magId "1988378097" @default.
- W1988378097 workType "article" @default.