Buscar
Mostrando ítems 51-60 de 883
Puiseux series polynomial dynamics and iteration of complex cubic polynomials
(ANNALES INST FOURIER, 2006)
We let L be the completion of the field of formal Puiseux series and study polynomials with coefficients in L as dynamical systems. We give a complete description of the dynamical and parameter space of cubic polynomials ...
Polynomials generated by a three term recurrence relation: bounds for complex zeros
(Elsevier B.V., 2014)
Matrix-valued Orthogonal Polynomials Related to (SU(2) × SU(2), SU(2)), II
(Kyoto Univ, 2013-04)
In a previous paper we have introduced matrixvalued analogues of the Chebyshev polynomials by studying matrix-valued spherical functions on SU(2) × SU(2). In particular the matrix-size of the polynomials is arbitrarily ...
Subresultants of (x−α)m and (x−β)n, Jacobi polynomials and complexity
(Academic Press Ltd - Elsevier Science Ltd, 2020-11)
In an earlier article (Bostan et al., 2017), with Carlos D’Andrea, we described explicit expressions for the coefficients of the order-d polynomial subresultant of (x − α) m and (x − β)n with respect to Bernstein’s set of ...
New steps on Sobolev orthogonality in two variables
(Elsevier B.V., 2014)
On the zeros of polynomials: An extension of the Enestrom-Kakeya theorem
(Academic Press Inc. Elsevier B.V., 2012-01-15)
This paper presents an extension of the Enestrom-Kakeya theorem concerning the roots of a polynomial that arises from the analysis of the stability of Brown (K, L) methods. The generalization relates to relaxing one of the ...
On the zeros of polynomials: An extension of the Enestrom-Kakeya theorem
(Academic Press Inc. Elsevier B.V., 2012-01-15)
This paper presents an extension of the Enestrom-Kakeya theorem concerning the roots of a polynomial that arises from the analysis of the stability of Brown (K, L) methods. The generalization relates to relaxing one of the ...
A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
Orthogonal polynomials on the unit circle and chain sequences
(2013-09-01)
Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed ...