Interlacing of the zeros of Jacobi polynomials with different parameters

Interlacing of the zeros of Jacobi polynomials with different parameters

We prove results for the interlacing of zeros of Jacobi polynomials of the same or adjacent degree as one or both of the parameters are shifted continuously within a certain range. Numerical examples are given to illustrate situations where interlacing fails to occur.

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Veröffentlicht in:Numerical algorithms 2008-12, Vol.49 (1-4), p.143-152
Hauptverfasser: Driver, Kathy, Jordaan, Kerstin, Mbuyi, Norbert
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Computer Science
Mathematical models
Numeric Computing
Numerical Analysis
Original Paper
Parameters
Polynomials
Theory of Computation
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Beschreibung
Zusammenfassung:We prove results for the interlacing of zeros of Jacobi polynomials of the same or adjacent degree as one or both of the parameters are shifted continuously within a certain range. Numerical examples are given to illustrate situations where interlacing fails to occur.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-008-9162-2