Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288351011> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4288351011 abstract "For two polynomials of degrees $n$ and $m$ ($ngeq m$) $$ fleft( sright) =a_{0}+a_{1}s+ldots+a_{n-1}s^{n-1}+a_{n}s^{n}$$ and $$gleft( sright) =b_{0}+b_{1}s+ldots+b_{m-1}s^{m-1}+b_{m}s^{m}$$ we define a set of polynomials $fbullet g =left{ F_{0},ldots,F_{n-m}right} $, where [ F_{j}left( sright) =a_{j}b_{0}+a_{j+1}b_{1}s+ldots+a_{j+m}b_{m}s^{m}, ] for $j=0,ldots,n-m$, and call it textit{a generalized Hadamard product of $f$ and $g$}. We give sufficient conditions for the Hurwitz stability of $fbullet g$. The obtained results show that the famous Garloff--Wagner theorem on the Hurwitz stability of the Hadamard product of polynomials is a special case of a more general fact. We also show that for every polynomial with positive coefficients (even not necessarily stable) one can find a polynomial such that their generalized Hadamard product is stable. Some connections with polynomials admitting the Hadamard factorization are also given. Numerical examples complete and illustrate the considerations." @default.
- W4288351011 created "2022-07-29" @default.
- W4288351011 creator A5055966882 @default.
- W4288351011 creator A5082231592 @default.
- W4288351011 date "2019-05-17" @default.
- W4288351011 modified "2023-09-30" @default.
- W4288351011 title "The generalized Hadamard product of polynomials and its stability" @default.
- W4288351011 doi "https://doi.org/10.48550/arxiv.1905.07452" @default.
- W4288351011 hasPublicationYear "2019" @default.
- W4288351011 type Work @default.
- W4288351011 citedByCount "0" @default.
- W4288351011 crossrefType "posted-content" @default.
- W4288351011 hasAuthorship W4288351011A5055966882 @default.
- W4288351011 hasAuthorship W4288351011A5082231592 @default.
- W4288351011 hasBestOaLocation W42883510111 @default.
- W4288351011 hasConcept C11413529 @default.
- W4288351011 hasConcept C114614502 @default.
- W4288351011 hasConcept C118615104 @default.
- W4288351011 hasConcept C121332964 @default.
- W4288351011 hasConcept C134306372 @default.
- W4288351011 hasConcept C187834632 @default.
- W4288351011 hasConcept C24890656 @default.
- W4288351011 hasConcept C2524010 @default.
- W4288351011 hasConcept C2775997480 @default.
- W4288351011 hasConcept C33923547 @default.
- W4288351011 hasConcept C60292330 @default.
- W4288351011 hasConcept C90119067 @default.
- W4288351011 hasConcept C90230998 @default.
- W4288351011 hasConcept C90673727 @default.
- W4288351011 hasConceptScore W4288351011C11413529 @default.
- W4288351011 hasConceptScore W4288351011C114614502 @default.
- W4288351011 hasConceptScore W4288351011C118615104 @default.
- W4288351011 hasConceptScore W4288351011C121332964 @default.
- W4288351011 hasConceptScore W4288351011C134306372 @default.
- W4288351011 hasConceptScore W4288351011C187834632 @default.
- W4288351011 hasConceptScore W4288351011C24890656 @default.
- W4288351011 hasConceptScore W4288351011C2524010 @default.
- W4288351011 hasConceptScore W4288351011C2775997480 @default.
- W4288351011 hasConceptScore W4288351011C33923547 @default.
- W4288351011 hasConceptScore W4288351011C60292330 @default.
- W4288351011 hasConceptScore W4288351011C90119067 @default.
- W4288351011 hasConceptScore W4288351011C90230998 @default.
- W4288351011 hasConceptScore W4288351011C90673727 @default.
- W4288351011 hasLocation W42883510111 @default.
- W4288351011 hasOpenAccess W4288351011 @default.
- W4288351011 hasPrimaryLocation W42883510111 @default.
- W4288351011 hasRelatedWork W1977959973 @default.
- W4288351011 hasRelatedWork W1980801980 @default.
- W4288351011 hasRelatedWork W1989108847 @default.
- W4288351011 hasRelatedWork W2028630216 @default.
- W4288351011 hasRelatedWork W2036590756 @default.
- W4288351011 hasRelatedWork W2068483647 @default.
- W4288351011 hasRelatedWork W3134043977 @default.
- W4288351011 hasRelatedWork W4235493211 @default.
- W4288351011 hasRelatedWork W4286969635 @default.
- W4288351011 hasRelatedWork W150972790 @default.
- W4288351011 isParatext "false" @default.
- W4288351011 isRetracted "false" @default.
- W4288351011 workType "article" @default.