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- Kenier Castillo, Francisco Marcellán
- Math. Comput.
- 2013

In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional L using spectral transformations of the corresponding C-function F L. We show that a rational spectral transformation of F L with polynomial coefficients is a finite composition of four canonical spectral transformations.

- Kenier Castillo
- Appl. Math. Lett.
- 2012

- Kenier Castillo, Luis E. Garza-Castañón, Francisco Marcellán
- Journal of Approximation Theory
- 2011

- Kenier Castillo, Regina Litz Lamblém, Fernando R. Rafaeli, A. Sri Ranga
- Math. Comput.
- 2012

We study polynomials which satisfy the same recurrence relation as the Szeg˝ o polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal polynomials that follow from these Szeg˝ o polynomials are also considered. With positive values for the reflection coefficients, zeros… (More)

- Kenier Castillo, Marisa de Souza Costa, A. Sri Ranga, D. O. Veronese
- Journal of Approximation Theory
- 2014

- Kenier Castillo, Dimitar K. Dimitrov, Luis E. Garza-Castañón, Fernando R. Rafaeli
- Applied Mathematics and Computation
- 2013

- Kenier Castillo
- Applied Mathematics and Computation
- 2015

- Kenier Castillo, Regina Litz Lamblém, A. Sri Ranga
- Applied Mathematics and Computation
- 2012

- Kenier Castillo, Francisco Marcellán, Jorge Rivero
- Applied Mathematics and Computation
- 2017

- Kenier Castillo, Francisco Marcellán, M. N. Rebocho
- Numerical Algorithms
- 2015

We study the interlacing properties of zeros of para–orthogonal polynomials associated with a nontrivial probability measure supported on the unit circle d µ and para–orthogonal polynomials associated with a modification of d µ by the addition of a pure mass point, also called Uvarov transformation. Moreover, as a direct consequence of our approach, we… (More)