Frobenius-Padé approximants for \(d\)-orthogonal series: theory and computational aspects

DOI10.1016/J.APNUM.2004.03.003zbMath1059.41005OpenAlexW2013856512MaRDI QIDQ1765508

Zélia da Rocha, José M. A. Matos

Publication date: 23 February 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.03.003

zbMATH Keywords

Rational approximationFrobenius-Padé approximantsSeries of orthogonal polynomials of dimension \(d\)

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items (4)

On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials ⋮ On semi‐classical d‐orthogonal polynomials ⋮ Dunkl–Appelld-orthogonal polynomials ⋮ d-Orthogonal Faber polynomials

Uses Software

• na15
• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector orthogonal relations. Vector QD-algorithm
• Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
• Padé-type approximation and general orthogonal polynomials
• On 2-orthogonal polynomials of Laguerre type
• Variations around classical orthogonal polynomials. Connected problems
• On \(d\)-orthogonal Tchebychev polynomials. I
• Shohat-Favard and Chebyshev's methods in \(d\)-orthogonality
• The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• A Method for the Approximation of Functions Defined by Formal Series Expansions in Orthogonal Polynomials
• Recursive computation of Padé-Legendre approximants and some acceleration properties.

This page was built for publication: Frobenius-Padé approximants for \(d\)-orthogonal series: theory and computational aspects