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Subresultants in multiple roots: An extremal case
- Source :
- 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⟩
- Publication Year :
- 2017
- Publisher :
- Elsevier Science Inc, 2017.
-
Abstract
- 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 hypergeometric expressions arising from determinants of binomial Hankel matrices.<br />Comment: 18 pages, uses elsart. Revised version accepted for publication at Linear Algebra and its Applications
- Subjects :
- MSC: 13P15, 15B05, 33C05
Polynomial
Binomial (polynomial)
Explicit formulae
Matemáticas
13P15, 15B05, 33C05
SUBRESULTANTS
Mathematics::Classical Analysis and ODEs
010103 numerical & computational mathematics
OSTROWSKI'S DETERMINANT
Commutative Algebra (math.AC)
01 natural sciences
HANKEL MATRICES
Matemática Pura
Combinatorics
purl.org/becyt/ford/1 [https]
Mathematics - Algebraic Geometry
Pfaff–Saalschütz identity
FOS: Mathematics
Discrete Mathematics and Combinatorics
Computer Science::Symbolic Computation
0101 mathematics
[MATH]Mathematics [math]
Algebraic Geometry (math.AG)
Mathematics
Numerical Analysis
Algebra and Number Theory
010102 general mathematics
Subresultants
purl.org/becyt/ford/1.1 [https]
Order (ring theory)
Mathematics - Commutative Algebra
Bernstein polynomial
Hypergeometric distribution
Hankel matrices
Geometry and Topology
CIENCIAS NATURALES Y EXACTAS
Ostrowski's determinant
PFAFF–SAALSCHÜTZ IDENTITY
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Database :
- OpenAIRE
- Journal :
- 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⟩
- Accession number :
- edsair.doi.dedup.....d052a9d9584e49482ac7f194e92895cf
- Full Text :
- https://doi.org/10.1016/j.laa.2017.04.019⟩