4 papers · 1 filter
Bivariate multiple orthogonal polynomials of mixed type on the step-line
Manuel Mañas, Miguel Rojas, Jianwen Wu
This article studies bivariate multiple orthogonal polynomials of the mixed type on the step-line. The analysis is based on the LU factorization of a moment matrix specifically ada…
Uvarov Perturbations for Multiple Orthogonal Polynomials of the Mixed Type on the Step-Line
Manuel Mañas, Miguel Rojas
Uvarov-type perturbations for mixed-type multiple orthogonal polynomials on the step line are investigated within a matrix-analytic framework. The transformations considered involv…
General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials
Manuel Mañas, Miguel Rojas
General Geronimus transformations, defined by regular matrix polynomials that are neither required to be monic nor restricted by the rank of their leading coefficients, are applied…
General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials
Manuel Mañas, Miguel Rojas
Performing both right and left multiplication operations using general regular matrix polynomials, which need not be monic and may possess leading coefficients of arbitrary rank, o…