Matches in SemOpenAlex for { <https://semopenalex.org/work/W2032028343> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2032028343 endingPage "168" @default.
- W2032028343 startingPage "154" @default.
- W2032028343 abstract "We present a few laws of linear algebra inspired by laws of relation algebra. The linear algebra laws are obtained from the relational ones by replacing union, intersection, composition and converse by the linear algebra operators of addition, Hadamard product, composition and transposition. Many of the modified expressions hold directly or with minor alterations. We also define operators that sum up the content of rows and columns. These share many properties with the relational domain and codomain operators returning a subidentity corresponding to the domain and codomain of a relation. Finally, we use the linear algebra operators to write axioms defining direct sums and direct products and we show that there are other solutions in addition to the traditional – in the relational context – injection and projection relations. • In linear algebra, matrices with 0, 1 entries only are relations. • Laws of linear algebra are obtained by transforming relational laws. • Relational direct sums and direct products are generalised in linear algebra. • Linear operators versus relational operators in relational laws. • Arbitrary matrices versus relations in relational laws." @default.
- W2032028343 created "2016-06-24" @default.
- W2032028343 creator A5000109637 @default.
- W2032028343 creator A5003832372 @default.
- W2032028343 creator A5067382949 @default.
- W2032028343 date "2014-03-01" @default.
- W2032028343 modified "2023-09-29" @default.
- W2032028343 title "Relational style laws and constructs of linear algebra" @default.
- W2032028343 cites W2001616837 @default.
- W2032028343 cites W2068047345 @default.
- W2032028343 cites W2095363060 @default.
- W2032028343 cites W2109932450 @default.
- W2032028343 cites W2152858793 @default.
- W2032028343 cites W3126996113 @default.
- W2032028343 doi "https://doi.org/10.1016/j.jlap.2014.02.005" @default.
- W2032028343 hasPublicationYear "2014" @default.
- W2032028343 type Work @default.
- W2032028343 sameAs 2032028343 @default.
- W2032028343 citedByCount "8" @default.
- W2032028343 countsByYear W20320283432015 @default.
- W2032028343 countsByYear W20320283432016 @default.
- W2032028343 countsByYear W20320283432017 @default.
- W2032028343 countsByYear W20320283432018 @default.
- W2032028343 crossrefType "journal-article" @default.
- W2032028343 hasAuthorship W2032028343A5000109637 @default.
- W2032028343 hasAuthorship W2032028343A5003832372 @default.
- W2032028343 hasAuthorship W2032028343A5067382949 @default.
- W2032028343 hasBestOaLocation W20320283431 @default.
- W2032028343 hasConcept C136119220 @default.
- W2032028343 hasConcept C139352143 @default.
- W2032028343 hasConcept C166957645 @default.
- W2032028343 hasConcept C17744445 @default.
- W2032028343 hasConcept C199539241 @default.
- W2032028343 hasConcept C202444582 @default.
- W2032028343 hasConcept C2524010 @default.
- W2032028343 hasConcept C2776445246 @default.
- W2032028343 hasConcept C33923547 @default.
- W2032028343 hasConcept C95457728 @default.
- W2032028343 hasConceptScore W2032028343C136119220 @default.
- W2032028343 hasConceptScore W2032028343C139352143 @default.
- W2032028343 hasConceptScore W2032028343C166957645 @default.
- W2032028343 hasConceptScore W2032028343C17744445 @default.
- W2032028343 hasConceptScore W2032028343C199539241 @default.
- W2032028343 hasConceptScore W2032028343C202444582 @default.
- W2032028343 hasConceptScore W2032028343C2524010 @default.
- W2032028343 hasConceptScore W2032028343C2776445246 @default.
- W2032028343 hasConceptScore W2032028343C33923547 @default.
- W2032028343 hasConceptScore W2032028343C95457728 @default.
- W2032028343 hasFunder F4320334593 @default.
- W2032028343 hasIssue "2" @default.
- W2032028343 hasLocation W20320283431 @default.
- W2032028343 hasLocation W20320283432 @default.
- W2032028343 hasOpenAccess W2032028343 @default.
- W2032028343 hasPrimaryLocation W20320283431 @default.
- W2032028343 hasRelatedWork W1987949650 @default.
- W2032028343 hasRelatedWork W2006459820 @default.
- W2032028343 hasRelatedWork W2045490848 @default.
- W2032028343 hasRelatedWork W2090649758 @default.
- W2032028343 hasRelatedWork W2331592954 @default.
- W2032028343 hasRelatedWork W2477677129 @default.
- W2032028343 hasRelatedWork W2525488343 @default.
- W2032028343 hasRelatedWork W2963070987 @default.
- W2032028343 hasRelatedWork W613626279 @default.
- W2032028343 hasRelatedWork W622366405 @default.
- W2032028343 hasVolume "83" @default.
- W2032028343 isParatext "false" @default.
- W2032028343 isRetracted "false" @default.
- W2032028343 magId "2032028343" @default.
- W2032028343 workType "article" @default.