Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

Rebocho, Maria das Neves; Castillo, Kenier; Marcellan, Francisco

http://hdl.handle.net/10400.6/9060

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
POPUC versão publicada.pdf		295.32 KB	Adobe PDF	Download

Send Feedback

Authors

Rebocho, Maria das Neves

Castillo, Kenier

Marcellan, Francisco

Abstract(s)

We study the interlacing properties of zeros of para–orthogonal polynomials associated with a nontrivial probability measure supported on the unit circle dμ and para–orthogonal polynomials associated with a modification of dμ by the addition of a pure mass point, also called Uvarov transformation. Moreover, as a direct consequence of our approach, we present some results related with the Christoffel transformation.

Keywords

Para-orthogonal polynomials Interlacing of zeros Uvarov transformation Christoffel transformation

URI

http://hdl.handle.net/10400.6/9060

Citation

K. Castillo, F. Marcell an, and M.N. Rebocho, Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle, Numerical Algorithms 71 no.3 (2016) 699-714