4 papers
An evaluation algorithm for q-Bézier triangular patches formed by convex combinations
Jorge Delgado, Héctor Orera, Juan Manuel Peña
An extension to triangular domains of the univariate q-Bernstein basis functions is introduced and analyzed. Some recurrence relations and properties such as partition of unity and…
Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices
Jorge Delgado, Héctor Orera, Juan Manuel Peña
This paper provides an accurate method to obtain the bidiagonal factorization of many generalized Pascal matrices, which in turn can be used to compute with high relative accuracy…
Optimal properties of tensor product of B-bases
Jorge Delgado, Héctor Orera, Juan Manuel Peña
It is proved the optimal conditioning for the infinity norm of collocation matrices of the tensor product of normalized B-bases among the tensor product of all normalized totally p…
Accurate algorithms for Bessel matrices
Jorge Delgado, Héctor Orera, Juan Manuel Peña
In this paper, we prove that any collocation matrix of Bessel polynomials at positive points is strictly totally positive, that is, all its minors are positive. Moreover, an accura…