Matches in SemOpenAlex for { <https://semopenalex.org/work/W4322008046> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W4322008046 abstract "Abstract The Householder method provides a stable algorithm to compute the full QR factorization of a general matrix. The standard version of the algorithm uses a sequence of orthogonal reflections to transform the matrix into upper triangular form column by column. In order to exploit (level 3 BLAS or structured matrix) computational advantages for block‐partitioned algorithms, we develop a block algorithm for the QR factorization. It is based on a well‐known block version of the Householder method which recursively divides a matrix columnwise into two smaller matrices. However, instead of continuing the recursion down to single matrix columns, we introduce a novel way to compute the QR factors in implicit Householder representation for a larger block of several matrix columns, that is, we start the recursion at a block level instead of a single column. Numerical experiments illustrate to what extent the novel approach trades some of the stability of Householder's method for the computational efficiency of block methods." @default.
- W4322008046 created "2023-02-26" @default.
- W4322008046 creator A5014285191 @default.
- W4322008046 date "2023-02-25" @default.
- W4322008046 modified "2023-10-16" @default.
- W4322008046 title "A block Cholesky‐LU‐based QR factorization for rectangular matrices" @default.
- W4322008046 cites W2032052535 @default.
- W4322008046 cites W2039778940 @default.
- W4322008046 cites W2113599268 @default.
- W4322008046 cites W2982181895 @default.
- W4322008046 cites W2982293719 @default.
- W4322008046 cites W4200578327 @default.
- W4322008046 doi "https://doi.org/10.1002/nla.2497" @default.
- W4322008046 hasPublicationYear "2023" @default.
- W4322008046 type Work @default.
- W4322008046 citedByCount "0" @default.
- W4322008046 crossrefType "journal-article" @default.
- W4322008046 hasAuthorship W4322008046A5014285191 @default.
- W4322008046 hasBestOaLocation W43220080461 @default.
- W4322008046 hasConcept C104528550 @default.
- W4322008046 hasConcept C106487976 @default.
- W4322008046 hasConcept C11413529 @default.
- W4322008046 hasConcept C114614502 @default.
- W4322008046 hasConcept C121332964 @default.
- W4322008046 hasConcept C123213974 @default.
- W4322008046 hasConcept C13355873 @default.
- W4322008046 hasConcept C158693339 @default.
- W4322008046 hasConcept C159985019 @default.
- W4322008046 hasConcept C168773036 @default.
- W4322008046 hasConcept C187834632 @default.
- W4322008046 hasConcept C188060507 @default.
- W4322008046 hasConcept C192562407 @default.
- W4322008046 hasConcept C202444582 @default.
- W4322008046 hasConcept C2524010 @default.
- W4322008046 hasConcept C2777210771 @default.
- W4322008046 hasConcept C2780551164 @default.
- W4322008046 hasConcept C33923547 @default.
- W4322008046 hasConcept C34727166 @default.
- W4322008046 hasConcept C42355184 @default.
- W4322008046 hasConcept C44363057 @default.
- W4322008046 hasConcept C62520636 @default.
- W4322008046 hasConcept C85817219 @default.
- W4322008046 hasConcept C96442724 @default.
- W4322008046 hasConceptScore W4322008046C104528550 @default.
- W4322008046 hasConceptScore W4322008046C106487976 @default.
- W4322008046 hasConceptScore W4322008046C11413529 @default.
- W4322008046 hasConceptScore W4322008046C114614502 @default.
- W4322008046 hasConceptScore W4322008046C121332964 @default.
- W4322008046 hasConceptScore W4322008046C123213974 @default.
- W4322008046 hasConceptScore W4322008046C13355873 @default.
- W4322008046 hasConceptScore W4322008046C158693339 @default.
- W4322008046 hasConceptScore W4322008046C159985019 @default.
- W4322008046 hasConceptScore W4322008046C168773036 @default.
- W4322008046 hasConceptScore W4322008046C187834632 @default.
- W4322008046 hasConceptScore W4322008046C188060507 @default.
- W4322008046 hasConceptScore W4322008046C192562407 @default.
- W4322008046 hasConceptScore W4322008046C202444582 @default.
- W4322008046 hasConceptScore W4322008046C2524010 @default.
- W4322008046 hasConceptScore W4322008046C2777210771 @default.
- W4322008046 hasConceptScore W4322008046C2780551164 @default.
- W4322008046 hasConceptScore W4322008046C33923547 @default.
- W4322008046 hasConceptScore W4322008046C34727166 @default.
- W4322008046 hasConceptScore W4322008046C42355184 @default.
- W4322008046 hasConceptScore W4322008046C44363057 @default.
- W4322008046 hasConceptScore W4322008046C62520636 @default.
- W4322008046 hasConceptScore W4322008046C85817219 @default.
- W4322008046 hasConceptScore W4322008046C96442724 @default.
- W4322008046 hasIssue "5" @default.
- W4322008046 hasLocation W43220080461 @default.
- W4322008046 hasLocation W43220080462 @default.
- W4322008046 hasOpenAccess W4322008046 @default.
- W4322008046 hasPrimaryLocation W43220080461 @default.
- W4322008046 hasRelatedWork W1966900933 @default.
- W4322008046 hasRelatedWork W1997388316 @default.
- W4322008046 hasRelatedWork W2074550915 @default.
- W4322008046 hasRelatedWork W2113085198 @default.
- W4322008046 hasRelatedWork W2375608986 @default.
- W4322008046 hasRelatedWork W2476011857 @default.
- W4322008046 hasRelatedWork W2739115385 @default.
- W4322008046 hasRelatedWork W4224251700 @default.
- W4322008046 hasRelatedWork W4322008046 @default.
- W4322008046 hasRelatedWork W54819768 @default.
- W4322008046 hasVolume "30" @default.
- W4322008046 isParatext "false" @default.
- W4322008046 isRetracted "false" @default.
- W4322008046 workType "article" @default.