Title of article
Orthogonal polynomials and measures on the unit circle. The Geronimus transformations
Author/Authors
Garza، نويسنده , , L. and Hernلndez-Mayoral، نويسنده , , J. and Marcellلn، نويسنده , , F.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
12
From page
1220
To page
1231
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.
Keywords
Spectral transformations , Hessenberg matrices , orthogonal polynomials , Measures on the unit circle
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2010
Journal title
Journal of Computational and Applied Mathematics
Record number
1555422
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