145 citations · 843 across the 63 of their papers we have counts for
4 papers · 2 filters
Orthogonal matrix polynomials and higher order recurrence relations
Antonio J. Durán, Walter Van Assche
It is well-known that orthogonal polynomials on the real line satisfy a three-term recurrence relation and conversely every system of polynomials satisfying a three-term recurrence…
Quadrature formulas based on rational interpolation
Walter Van Assche, Ingrid Vanherwegen
We consider quadrature formulas based on interpolation using the basis functions on , where are parameters on the interval . W…
The impact of Stieltjes' work on continued fractions and orthogonal polynomials
Walter Van Assche
Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Sti…
Polynomial interpolation and Gaussian quadrature for matrix valued functions
Walter Van Assche, Ann Sinap
The techniques for polynomial interpolation and Gaussian quadrature are generalized to matrix-valued functions. It is shown how the zeros and rootvectors of matrix orthonormal poly…