Matches in SemOpenAlex for { <https://semopenalex.org/work/W1508013761> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W1508013761 endingPage "46" @default.
- W1508013761 startingPage "30" @default.
- W1508013761 abstract "Given univariate polynomials F , G0 and H0 such that F = G0H0 + ∆0, k∆0k/kFk = e0 ? 1, we consider calculating polynomials G1 and H1, such that F = G1H1 + ∆1,k∆1k/kFk = e1 ? e0, where kPk denotes a norm of a polynomial P . We call this operation univariate factor separation. We give a quadratically convergent algorithm to calculate G1 and H1. Furthermore, we derive a condition of convergence of the factor separation algorithm and discuss the accuracy of factor separated. We apply the factor separation to separating multiple/close root factors accurately in two ways. In the first way, we perform the approximate square-free decomposition of F with low accuracy, obtaining multiple/close root factors crudely, then apply the factor separation algorithm. In the second way, we solve the equation F (x) = 0 numerically, obtaining approximate roots among which the multiple/close roots are of low accuracies. We combine these multiple/close root factors to a polynomial and use it as an initial factor for the factor separation algorithm." @default.
- W1508013761 created "2016-06-24" @default.
- W1508013761 creator A5070868868 @default.
- W1508013761 creator A5083727386 @default.
- W1508013761 date "1998-05-01" @default.
- W1508013761 modified "2023-09-24" @default.
- W1508013761 title "Univariate Factor Separation and Separation of Multiple/Close Root Factors ⁄" @default.
- W1508013761 cites W1602290632 @default.
- W1508013761 cites W170136099 @default.
- W1508013761 cites W1996259679 @default.
- W1508013761 cites W1998796062 @default.
- W1508013761 cites W2009888798 @default.
- W1508013761 cites W2019161115 @default.
- W1508013761 cites W2031629670 @default.
- W1508013761 cites W2100279776 @default.
- W1508013761 hasPublicationYear "1998" @default.
- W1508013761 type Work @default.
- W1508013761 sameAs 1508013761 @default.
- W1508013761 citedByCount "0" @default.
- W1508013761 crossrefType "journal-article" @default.
- W1508013761 hasAuthorship W1508013761A5070868868 @default.
- W1508013761 hasAuthorship W1508013761A5083727386 @default.
- W1508013761 hasConcept C105795698 @default.
- W1508013761 hasConcept C11413529 @default.
- W1508013761 hasConcept C114614502 @default.
- W1508013761 hasConcept C11577676 @default.
- W1508013761 hasConcept C134306372 @default.
- W1508013761 hasConcept C161584116 @default.
- W1508013761 hasConcept C162324750 @default.
- W1508013761 hasConcept C17744445 @default.
- W1508013761 hasConcept C191795146 @default.
- W1508013761 hasConcept C195956108 @default.
- W1508013761 hasConcept C199163554 @default.
- W1508013761 hasConcept C199360897 @default.
- W1508013761 hasConcept C199539241 @default.
- W1508013761 hasConcept C2524010 @default.
- W1508013761 hasConcept C2776061190 @default.
- W1508013761 hasConcept C2777303404 @default.
- W1508013761 hasConcept C2781039887 @default.
- W1508013761 hasConcept C28826006 @default.
- W1508013761 hasConcept C33923547 @default.
- W1508013761 hasConcept C41008148 @default.
- W1508013761 hasConcept C50522688 @default.
- W1508013761 hasConcept C90119067 @default.
- W1508013761 hasConceptScore W1508013761C105795698 @default.
- W1508013761 hasConceptScore W1508013761C11413529 @default.
- W1508013761 hasConceptScore W1508013761C114614502 @default.
- W1508013761 hasConceptScore W1508013761C11577676 @default.
- W1508013761 hasConceptScore W1508013761C134306372 @default.
- W1508013761 hasConceptScore W1508013761C161584116 @default.
- W1508013761 hasConceptScore W1508013761C162324750 @default.
- W1508013761 hasConceptScore W1508013761C17744445 @default.
- W1508013761 hasConceptScore W1508013761C191795146 @default.
- W1508013761 hasConceptScore W1508013761C195956108 @default.
- W1508013761 hasConceptScore W1508013761C199163554 @default.
- W1508013761 hasConceptScore W1508013761C199360897 @default.
- W1508013761 hasConceptScore W1508013761C199539241 @default.
- W1508013761 hasConceptScore W1508013761C2524010 @default.
- W1508013761 hasConceptScore W1508013761C2776061190 @default.
- W1508013761 hasConceptScore W1508013761C2777303404 @default.
- W1508013761 hasConceptScore W1508013761C2781039887 @default.
- W1508013761 hasConceptScore W1508013761C28826006 @default.
- W1508013761 hasConceptScore W1508013761C33923547 @default.
- W1508013761 hasConceptScore W1508013761C41008148 @default.
- W1508013761 hasConceptScore W1508013761C50522688 @default.
- W1508013761 hasConceptScore W1508013761C90119067 @default.
- W1508013761 hasIssue "3" @default.
- W1508013761 hasLocation W15080137611 @default.
- W1508013761 hasOpenAccess W1508013761 @default.
- W1508013761 hasPrimaryLocation W15080137611 @default.
- W1508013761 hasRelatedWork W1911532324 @default.
- W1508013761 hasRelatedWork W1969815718 @default.
- W1508013761 hasRelatedWork W1972401324 @default.
- W1508013761 hasRelatedWork W1989957966 @default.
- W1508013761 hasRelatedWork W2135661016 @default.
- W1508013761 hasRelatedWork W2168690304 @default.
- W1508013761 hasRelatedWork W2183261441 @default.
- W1508013761 hasRelatedWork W2467074172 @default.
- W1508013761 hasRelatedWork W2949897873 @default.
- W1508013761 hasRelatedWork W2951276273 @default.
- W1508013761 hasRelatedWork W2952500864 @default.
- W1508013761 hasRelatedWork W2967808840 @default.
- W1508013761 hasRelatedWork W2999196206 @default.
- W1508013761 hasRelatedWork W3003854559 @default.
- W1508013761 hasRelatedWork W3097639912 @default.
- W1508013761 hasRelatedWork W3124460230 @default.
- W1508013761 hasRelatedWork W3137387293 @default.
- W1508013761 hasRelatedWork W3204063888 @default.
- W1508013761 hasRelatedWork W764763642 @default.
- W1508013761 hasRelatedWork W181868573 @default.
- W1508013761 hasVolume "6" @default.
- W1508013761 isParatext "false" @default.
- W1508013761 isRetracted "false" @default.
- W1508013761 magId "1508013761" @default.
- W1508013761 workType "article" @default.