On the convergence of rows of vector Padé approximants

DOI10.1016/0377-0427(95)00133-6zbMath0851.41015OpenAlexW1998669118MaRDI QIDQ1919501

D. E. Roberts

Publication date: 23 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00133-6

zbMATH Keywords

Clifford algebrasrational approximationde Montessus theoremrow convergencevector Padé approximants

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items (6)

Row convergence theorems for vector-valued Padé approximants ⋮ Efficient computation for dynamic responses of systems with time-varying characteristics ⋮ Problems and progress in vector Padé approximation ⋮ A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary ⋮ On a representation of vector continued fractions ⋮ The epsilon algorithm and related topics

Cites Work

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• Vector valued rational interpolants. I
• Clifford algebras and vector-valued rational forms. II
• Matrix representations of Clifford algebras
• Row convergence theorems for generalised inverse vector-valued Padé approximants
• The convergence of sequences of Padé approximants
• An extension of a row convergence theorem for vector Padé approximants
• Extrapolation methods for vector sequences
• From matrix to vector Padé approximants
• Vector-valued, rational interpolants. III
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• The theory of spinors
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Extrapolation Methods for Vector Sequences
• Some remarks on clifford algebras
• Clifford algebras and vector-valued rational forms. I

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