Zeros of quasi-paraorthogonal polynomials and positive quadrature
@article{Bultheel2022ZerosOQ, title={Zeros of quasi-paraorthogonal polynomials and positive quadrature}, author={Adhemar Bultheel and Ruym{\'a}n Cruz-Barroso and Carlos D{\'i}az-Mendoza}, journal={J. Comput. Appl. Math.}, year={2022}, volume={407}, pages={114039} }
References
SHOWING 1-10 OF 58 REFERENCES
Quadrature formula and zeros of para-orthogonal polynomials on the unit circle
- Mathematics
- 2002
Given a probability measure μ on the unit circle T, we study para-orthogonal polynomials Bn(.,w) (with fixed w ∈ T) and their zeros which are known to lie on the unit circle. We focus on the…
Zeros of para–orthogonal polynomials and linear spectral transformations on the unit circle
- MathematicsNumerical Algorithms
- 2015
The interlacing properties of zeros of para–orthogonal polynomials associated with a nontrivial probability measure supported on the unit circle dµ are studied and some results related with the Christoffel transformation are presented.
Positive trigonometric quadrature formulas and quadrature on the unit circle
- MathematicsMath. Comput.
- 2011
It is shown that the nodes polynomial can be generated by a simple recurrence relation and as a byproduct interlacing properties of zeros of para-orthogonal polynomials are obtained.
Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle
- Mathematics
- 2006
A connection between Szegő-Lobatto and quasi Gauss-type quadrature formulas
- MathematicsJ. Comput. Appl. Math.
- 2015
Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
- MathematicsJ. Comput. Appl. Math.
- 2009