The Tridiagonal Approach to Szegö’s Orthogonal Polynomials, Toeplitz Linear Systems, and Related Interpolation Problems

The basic topics of the paper are the three-term recurrence relation $x_{k + 1} (z) = (\alpha _k + \bar \alpha _k z)x_k (z) - zx_{k - 1} (z)$ and the associated tridiagonal matrix. This relation, which underlies the Bistritz stability test, can be used as a starting point for a novel approach to the...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	SIAM journal on mathematical analysis 1988-05, Vol.19 (3), p.718-735
Hauptverfasser:	Delsarte, P., Genin, Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied mathematics Polynomials
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!