Document Zbl 0626.65013

Vector orthogonal relations. Vector QD-algorithm. (English) Zbl 0626.65013

J. Comput. Appl. Math. 19, 141-150 (1987).

Vector orthogonal relations and recurrence relations associated with vector-Padé approximations of complex vector functions are investigated.

Reviewer: J.Šmíd

Cited in 4 Reviews

Cited in 83 Documents

MSC:

65D15	Algorithms for approximation of functions
41A21	Padé approximation

Keywords:

orthogonal polynomials; QD-algorithm; recurrence relations; vector-Padé approximations of complex vector functions

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Full Text: DOI

References:

[1]	Brezinski, C., Padé-type Approximation and General Orthogonal Polynomials (1980), Birkhäuser-Verlag: Birkhäuser-Verlag Basel · Zbl 0418.41012
[2]	Brezinski, C., The Mühlbach—Neville—Aitken algorithm and some extension, BIT, 20, 444-451 (1980) · Zbl 0462.65006
[3]	Henrici, P., Applied and Computational Complex Analysis (1971), Wiley: Wiley New York
[4]	Maroni, P., Generalisation du théorème de Shohat-Favard sur les polynômes orthogonaux, C.R. Acad. des Sc., 239 (1981) · Zbl 0467.42018
[5]	van Iseghem, J., Vector Padé Approximants, Proceeding of 11th IMACS Congress (1985), North-Holland: North-Holland Amsterdam

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