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

@article{Castillo2015ZerosOP,
  title={Zeros of para–orthogonal polynomials and linear spectral transformations on the unit circle},
  author={Kenier Castillo and Francisco Marcell{\'a}n and Maria Das Neves Rebocho},
  journal={Numerical Algorithms},
  year={2015},
  volume={71},
  pages={699-714}
}
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. 
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9 Citations
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Methods Citations
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9 Citations

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