Matches in SemOpenAlex for { <https://semopenalex.org/work/W340250899> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W340250899 abstract "Bipartite graphs are used todescribe the generalized Schur complements of real matrices having nosquare submatrix with twoor more nonzerodiagonals. For any matrix A with this property, including any nearly reducible matrix, the sign pattern of each generalized Schur complement is shown to be determined uniquely by the sign pattern of A. Moreover, if A has a normalized LU factorization A = LU, then the sign pattern of A is shown to determine uniquely the sign patterns of L and U, and (with the standard LU factorization) of L−1 and, if A is nonsingular, of U−1. However, if A is singular, then the sign pattern of the Moore-Penrose inverse U† may not be uniquely determined by the sign pattern of A. Analogous results are shown to hold for zero patterns." @default.
- W340250899 created "2016-06-24" @default.
- W340250899 creator A5049802779 @default.
- W340250899 creator A5064094814 @default.
- W340250899 creator A5081851920 @default.
- W340250899 date "2005-01-01" @default.
- W340250899 modified "2023-10-14" @default.
- W340250899 title "Schur complements of matrices with acyclic bipartite graphs" @default.
- W340250899 cites W1568175246 @default.
- W340250899 cites W1974511160 @default.
- W340250899 cites W1993446440 @default.
- W340250899 cites W2074771309 @default.
- W340250899 cites W2096600852 @default.
- W340250899 cites W2104259080 @default.
- W340250899 cites W2128978199 @default.
- W340250899 cites W2407203055 @default.
- W340250899 cites W2610857016 @default.
- W340250899 cites W2089930092 @default.
- W340250899 doi "https://doi.org/10.13001/1081-3810.1173" @default.
- W340250899 hasPublicationYear "2005" @default.
- W340250899 type Work @default.
- W340250899 sameAs 340250899 @default.
- W340250899 citedByCount "0" @default.
- W340250899 crossrefType "journal-article" @default.
- W340250899 hasAuthorship W340250899A5049802779 @default.
- W340250899 hasAuthorship W340250899A5064094814 @default.
- W340250899 hasAuthorship W340250899A5081851920 @default.
- W340250899 hasBestOaLocation W3402508991 @default.
- W340250899 hasConcept C106487976 @default.
- W340250899 hasConcept C11413529 @default.
- W340250899 hasConcept C114614502 @default.
- W340250899 hasConcept C118615104 @default.
- W340250899 hasConcept C121332964 @default.
- W340250899 hasConcept C132525143 @default.
- W340250899 hasConcept C134306372 @default.
- W340250899 hasConcept C139676723 @default.
- W340250899 hasConcept C158693339 @default.
- W340250899 hasConcept C159985019 @default.
- W340250899 hasConcept C187834632 @default.
- W340250899 hasConcept C192562407 @default.
- W340250899 hasConcept C197657726 @default.
- W340250899 hasConcept C202444582 @default.
- W340250899 hasConcept C207467116 @default.
- W340250899 hasConcept C2524010 @default.
- W340250899 hasConcept C2731191 @default.
- W340250899 hasConcept C33923547 @default.
- W340250899 hasConcept C62520636 @default.
- W340250899 hasConcept C96442724 @default.
- W340250899 hasConceptScore W340250899C106487976 @default.
- W340250899 hasConceptScore W340250899C11413529 @default.
- W340250899 hasConceptScore W340250899C114614502 @default.
- W340250899 hasConceptScore W340250899C118615104 @default.
- W340250899 hasConceptScore W340250899C121332964 @default.
- W340250899 hasConceptScore W340250899C132525143 @default.
- W340250899 hasConceptScore W340250899C134306372 @default.
- W340250899 hasConceptScore W340250899C139676723 @default.
- W340250899 hasConceptScore W340250899C158693339 @default.
- W340250899 hasConceptScore W340250899C159985019 @default.
- W340250899 hasConceptScore W340250899C187834632 @default.
- W340250899 hasConceptScore W340250899C192562407 @default.
- W340250899 hasConceptScore W340250899C197657726 @default.
- W340250899 hasConceptScore W340250899C202444582 @default.
- W340250899 hasConceptScore W340250899C207467116 @default.
- W340250899 hasConceptScore W340250899C2524010 @default.
- W340250899 hasConceptScore W340250899C2731191 @default.
- W340250899 hasConceptScore W340250899C33923547 @default.
- W340250899 hasConceptScore W340250899C62520636 @default.
- W340250899 hasConceptScore W340250899C96442724 @default.
- W340250899 hasLocation W3402508991 @default.
- W340250899 hasLocation W3402508992 @default.
- W340250899 hasOpenAccess W340250899 @default.
- W340250899 hasPrimaryLocation W3402508991 @default.
- W340250899 hasRelatedWork W2021621189 @default.
- W340250899 hasRelatedWork W2036715051 @default.
- W340250899 hasRelatedWork W2132340875 @default.
- W340250899 hasRelatedWork W2354530922 @default.
- W340250899 hasRelatedWork W2371461207 @default.
- W340250899 hasRelatedWork W2377981068 @default.
- W340250899 hasRelatedWork W3086542228 @default.
- W340250899 hasRelatedWork W3145870629 @default.
- W340250899 hasRelatedWork W340250899 @default.
- W340250899 hasRelatedWork W4237657905 @default.
- W340250899 hasVolume "14" @default.
- W340250899 isParatext "false" @default.
- W340250899 isRetracted "false" @default.
- W340250899 magId "340250899" @default.
- W340250899 workType "article" @default.