19 citations · 59 across the 10 of their papers we have counts for
10 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…
Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices
Héctor Orera, Juan Manuel Peña
For many applications, it is convenient to have good upper bounds for the norm of the inverse of a given matrix. In this paper, we obtain such bounds when A is a Nekrasov matrix, b…
Combined matrices of almost strictly sign regular matrices
Pedro Alonso, Juan Manuel Peña, María Luisa Serrano
The combined matrix is a very useful concept for many applications. Almost strictly sign regular (ASSR) matrices form an important structured class of matrices with two possible ze…
Bidiagonal Decompositions of Vandermonde-Type Matrices of Arbitrary Rank
Jorge Delgado, Plamen Koev, Ana Marco +4
We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (q-, h-) Bernstein-Vandermonde ones, among othe…
Extremal and optimal properties of B-bases Collocation Matrices
Jorge Delgado, J. M. Peña
Totally positive matrices are related with the shape preserving representations of a space of functions. The normalized B-basis of the space has optimal shape preserving properties…
SVD update methods for large matrices and applications
Juan Manuel Peña, Tomas Sauer
We consider the problem of updating the SVD when augmenting a "tall thin" matrix, i.e., a rectangular matrix $A \in \RR^{m \times n}$ with . Supposing that an SVD of i…
Decomposition of tensors
Juan Manuel Peña, Tomas Sauer
We consider representations of tensors as sums of decomposable tensors or, equivalently, decomposition of multilinear forms into one--forms. In this short note we show that there e…