Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640870 | Journal of Computational and Applied Mathematics | 2010 | 12 Pages |
Abstract
In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Garza, J. Hernández, F. Marcellán,