5 papers
On variation of eigenvalues of birth and death matrices and random walk matrices
K. Castillo, I. Zaballa
The purpose of this note is twofold: firstly to improve the known results on variation of extreme eigenvalues of birth and death matrices and random walk matrices; and secondly to…
On another extension of coherent pairs of measures
K. Castillo, D. Mbouna
Let and be fixed non-negative integer numbers and let be a polynomial of degree . Suppose that and are two orthogonal polynomial…
On monotonicity of zeros of paraorthogonal polynomials on the unit circle
K. Castillo
The purpose of this note is to establish, in terms of the primary coefficients in the framework of the tridiagonal theory developed by Delsarte and Genin in the environment of nonn…
Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle
K. Castillo, J. Petronilho
The purpose of this note is to extend in a simple and unified way the known results on interlacing of zeros of paraorthogonal polynomials on the unit circle. These polynomials can…
On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation
K. Castillo, F. Marcellán, J. Rivero
By using the Szegő's transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogo…