Matches in SemOpenAlex for { <https://semopenalex.org/work/W1636707095> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1636707095 abstract "In this paper, we present a new algorithm and an experimental implementation for factoring elements in the polynomial n'th Weyl algebra, the polynomial n'th shift algebra, and ZZ^n-graded polynomials in the n'th q-Weyl algebra. The most unexpected result is that this noncommutative problem of factoring partial differential operators can be approached effectively by reducing it to the problem of solving systems of polynomial equations over a commutative ring. In the case where a given polynomial is ZZ^n-graded, we can reduce the problem completely to factoring an element in a commutative multivariate polynomial ring. The implementation in Singular is effective on a broad range of polynomials and increases the ability of computer algebra systems to address this important problem. We compare the performance and output of our algorithm with other implementations in commodity computer algebra systems on nontrivial examples." @default.
- W1636707095 created "2016-06-24" @default.
- W1636707095 creator A5057638793 @default.
- W1636707095 creator A5059697607 @default.
- W1636707095 creator A5084191402 @default.
- W1636707095 date "2014-03-31" @default.
- W1636707095 modified "2023-09-27" @default.
- W1636707095 title "Factoring Differential Operators in n Variables." @default.
- W1636707095 cites W1040640664 @default.
- W1636707095 cites W125452029 @default.
- W1636707095 cites W1511704933 @default.
- W1636707095 cites W1574501761 @default.
- W1636707095 cites W1574688318 @default.
- W1636707095 cites W165259598 @default.
- W1636707095 cites W1868893857 @default.
- W1636707095 cites W1926542547 @default.
- W1636707095 cites W2006176733 @default.
- W1636707095 cites W2044544108 @default.
- W1636707095 cites W2055595480 @default.
- W1636707095 cites W2067741368 @default.
- W1636707095 cites W2098067519 @default.
- W1636707095 cites W2175098281 @default.
- W1636707095 cites W2178411252 @default.
- W1636707095 hasPublicationYear "2014" @default.
- W1636707095 type Work @default.
- W1636707095 sameAs 1636707095 @default.
- W1636707095 citedByCount "1" @default.
- W1636707095 countsByYear W16367070952014 @default.
- W1636707095 crossrefType "posted-content" @default.
- W1636707095 hasAuthorship W1636707095A5057638793 @default.
- W1636707095 hasAuthorship W1636707095A5059697607 @default.
- W1636707095 hasAuthorship W1636707095A5084191402 @default.
- W1636707095 hasConcept C101044782 @default.
- W1636707095 hasConcept C10138342 @default.
- W1636707095 hasConcept C108741685 @default.
- W1636707095 hasConcept C134306372 @default.
- W1636707095 hasConcept C136119220 @default.
- W1636707095 hasConcept C162324750 @default.
- W1636707095 hasConcept C177225278 @default.
- W1636707095 hasConcept C178790620 @default.
- W1636707095 hasConcept C185592680 @default.
- W1636707095 hasConcept C202444582 @default.
- W1636707095 hasConcept C2779152781 @default.
- W1636707095 hasConcept C2780378348 @default.
- W1636707095 hasConcept C33923547 @default.
- W1636707095 hasConcept C68797384 @default.
- W1636707095 hasConcept C90119067 @default.
- W1636707095 hasConcept C9485509 @default.
- W1636707095 hasConcept C97395012 @default.
- W1636707095 hasConceptScore W1636707095C101044782 @default.
- W1636707095 hasConceptScore W1636707095C10138342 @default.
- W1636707095 hasConceptScore W1636707095C108741685 @default.
- W1636707095 hasConceptScore W1636707095C134306372 @default.
- W1636707095 hasConceptScore W1636707095C136119220 @default.
- W1636707095 hasConceptScore W1636707095C162324750 @default.
- W1636707095 hasConceptScore W1636707095C177225278 @default.
- W1636707095 hasConceptScore W1636707095C178790620 @default.
- W1636707095 hasConceptScore W1636707095C185592680 @default.
- W1636707095 hasConceptScore W1636707095C202444582 @default.
- W1636707095 hasConceptScore W1636707095C2779152781 @default.
- W1636707095 hasConceptScore W1636707095C2780378348 @default.
- W1636707095 hasConceptScore W1636707095C33923547 @default.
- W1636707095 hasConceptScore W1636707095C68797384 @default.
- W1636707095 hasConceptScore W1636707095C90119067 @default.
- W1636707095 hasConceptScore W1636707095C9485509 @default.
- W1636707095 hasConceptScore W1636707095C97395012 @default.
- W1636707095 hasLocation W16367070951 @default.
- W1636707095 hasOpenAccess W1636707095 @default.
- W1636707095 hasPrimaryLocation W16367070951 @default.
- W1636707095 hasRelatedWork W1518413206 @default.
- W1636707095 hasRelatedWork W1646561875 @default.
- W1636707095 hasRelatedWork W190860662 @default.
- W1636707095 hasRelatedWork W196766524 @default.
- W1636707095 hasRelatedWork W1972071187 @default.
- W1636707095 hasRelatedWork W1988821632 @default.
- W1636707095 hasRelatedWork W1990226699 @default.
- W1636707095 hasRelatedWork W2002250720 @default.
- W1636707095 hasRelatedWork W2030342060 @default.
- W1636707095 hasRelatedWork W2074940796 @default.
- W1636707095 hasRelatedWork W2151904488 @default.
- W1636707095 hasRelatedWork W2172695686 @default.
- W1636707095 hasRelatedWork W2529730941 @default.
- W1636707095 hasRelatedWork W2626372708 @default.
- W1636707095 hasRelatedWork W2997344782 @default.
- W1636707095 hasRelatedWork W3082127726 @default.
- W1636707095 hasRelatedWork W3113087031 @default.
- W1636707095 hasRelatedWork W47614929 @default.
- W1636707095 hasRelatedWork W51797857 @default.
- W1636707095 hasRelatedWork W608788105 @default.
- W1636707095 isParatext "false" @default.
- W1636707095 isRetracted "false" @default.
- W1636707095 magId "1636707095" @default.
- W1636707095 workType "article" @default.