1 citations · 2 across the 6 of their papers we have counts for
7 papers
A mixed interpolation-regression method for function approximation on certain planar domains
Ruymán Cruz-Barroso, Lidia Fernández, Francisco Marcellán +1
In this contribution, we introduce a mixed interpolation-regression operator for functions defined on certain planar domains. We focus on an ellipse, an annulus and a polygon. An u…
A mixed interpolation-regression method for numerical integration on the unit circle using zeros of para-orthogonal polynomials
Ruymán Cruz-Barroso, Lidia Fernández, Francisco Marcellán
A new alternative numerical procedure to the Szegő quadrature formulas for the estimation of integrals with respect to a positive Borel measure supported on the unit circle is…
Orthogonal Laurent polynomials of two real variables
Ruymán Cruz-Barroso, Lidia Fernández
In this paper we consider an appropriate ordering of the Laurent monomials , that allows us to study sequences of orthogonal Laurent polynomials of…
Zeros of quasi-paraorthogonal polynomials and positive quadrature
Adhemar Bultheel, Ruymán Cruz-Barroso, Carlos Díaz Mendoza
In this paper we illustrate that paraorthogonality on the unit circle is the counterpart to orthogonality on when we are interested in the spectral proper…
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
Adhemar Bultheel, Ruyman Cruz-Barroso, Andreas Lasarow
Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we…
Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations
Ruyman Cruz Barroso, Steven Delvaux
Let there be given a probability measure on the unit circle $\TT$ of the complex plane and consider the inner product induced by . In this paper we consider the problem of o…
A matrix approach to the computation of quadrature formulas on the unit circle
Maria Jose Cantero, Ruyman Cruz-Barroso, Pablo Gonzalez-Vera
In this paper we consider a general sequence of orthogonal Laurent polynomials on the unit circle and we first study the equivalences between recurrences for such families and Szeg…