Frobenius-Pade approximants for d-orthogonal series: Theory and computational aspects

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Matos, JMA (Author) Other; da Rocha, Z (Author) FCUP

Journal

Title: Applied Numerical Mathematics

Vol. 52

Pages: 89-112

ISSN: 0168-9274

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-56T

DOI: 10.1016/j.apnum.2004.03.003

Abstract (EN): This work is about Frobenius-Pade approximants for series of orthogonal polynomials of dimension d (d is an element of N). Concerning the series, we give the projection property of partial sums, show how to compute their coefficients, and how to get the coefficients of the product of a series by a polynomial. Concerning the approximants, we essentially deal with their recursive computation. Also, we give several examples and numerical results.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24