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Orientador(es)
Resumo(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.
Descrição
Palavras-chave
Para-orthogonal polynomials Interlacing of zeros Uvarov transformation Christoffel transformation
Contexto Educativo
Citação
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