Výsledky vyhledávání - "Subresultants"

Akademický článek

Numerical stability of Euclidean algorithm over ultrametric fields

Autor: CARUSO, Xavier

Publikováno v: Journal de Théorie des Nombres de Bordeaux, 2017 Jan 01. 29(2), 503-534.

Externí odkaz: https://www.jstor.org/stable/26274085

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Akademický článek

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Computing the intersection of two quadrics through projection and lifting

Autor: Trocado, Alexandre Emanuel Batista da Silva

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

O objetivo desta dissertação é o estudo da interseção de duas quádricas, do ponto de vista teórico através da demonstração de novos resultados e, do ponto de vista prático, implementando um algoritmo em dois softwares, o GeoGebra e o Maple

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4249d64d057f3dc11256b7e38e25ead2

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Subresultants of $(x-\alpha)^m$ and $(x-\beta)^n$, Jacobi polynomials and complexity

Autor: Bostan, A., Krick, T., Szanto, A., Valdettaro, M.

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, Elsevier, 2020, 101, pp.330-351. ⟨10.1016/j.jsc.2019.10.003⟩
Journal of Symbolic Computation, 2020, 101, pp.330-351. ⟨10.1016/j.jsc.2019.10.003⟩

In an earlier article together with Carlos D'Andrea [BDKSV2017], we described explicit expressions for the coefficients of the order-$d$ polynomial subresultant of $(x-\alpha)^m$ and $(x-\beta)^n $ with respect to Bernstein's set of polynomials $\{(x

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::07ebc99f3fc52ec54852fe99350934af
https://hal.archives-ouvertes.fr/hal-01966640

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Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation

Autor: Aviva Szpirglas, Marie-Françoise Roy

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, 2020, 96, pp.85-107. ⟨10.1016/j.jsc.2019.02.013⟩
Journal of Symbolic Computation, Elsevier, 2020, 96, pp.85-107. ⟨10.1016/j.jsc.2019.02.013⟩

International audience; Sylvester doubles sums, introduced first by Sylvester (see Sylvester (1840, 1853)), are symmetric expressions of the roots of two polynomials. Sylvester’s definition of double sums makes no sense in the presence of multiple

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91d115e84b8f6a3c642e921df1c18753
https://hal.science/hal-01802846

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Une approche par le calcul formel de la stabilité asymptotique des systèmes linéaires différentiels à retards commensurables

Autor: Bouzidi, Yacine, Poteaux, Adrien, Quadrat, Alban

Publikováno v: Delays and Interconnections: Methodology, Algorithms and Applications, Advances in Delays and Dynamics
Giorgio Valmorbida; Alexandre Seuret; Islam Boussaada; Rifat Sipahi. Delays and Interconnections: Methodology, Algorithms and Applications, Advances in Delays and Dynamics, 10, Springer, pp.16, 2019, ⟨10.1007/978-3-030-11554-8_11⟩

International audience; This paper aims at studying the asymptotic stability of retarded type linear differential systems with commensurate delays. Within the frequency-domain approach, it is well-known that the asymptotic stability of such a system

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::29a8978f5d30aab71778bebc4e5d9034
https://hal.inria.fr/hal-01485536/document

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Closed formula for univariate subresultants in multiple roots

Autor: Teresa Krick, Carlos D'Andrea, Agnes Szanto, Marcelo Valdettaro

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We generalize Sylvester single sums to multisets and show that these sums compute subresultants of two univariate polynomials as a function of their roots independently of their multiplicity structure. This is the first closed formula for subresultan

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4a3bf63bdfbab9ebf1107e0eacda6b1
https://www.sciencedirect.com/science/article/abs/pii/S0024379518305731?via=ihub

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Subresultants in multiple roots: An extremal case

Autor: Carlos D'Andrea, Marcelo Valdettaro, Teresa Krick, Alin Bostan, Agnes Szanto

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Linear Algebra and its Applications
Linear Algebra and its Applications, Elsevier, 2017, 529, pp.185-198. ⟨10.1016/j.laa.2017.04.019⟩
Linear Algebra and its Applications, 2017, 529, pp.185-198. ⟨10.1016/j.laa.2017.04.019⟩

We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x-\alpha)^m and (x-\beta)^n with respect to the set of Bernstein polynomials \{(x-\alpha)^j(x-\beta)^{d-j}, \, 0\le j\le d\}. They are given by hypergeometri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d052a9d9584e49482ac7f194e92895cf
https://www.sciencedirect.com/science/article/pii/S0024379517302562

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