Row convergence theorems for vector-valued Padé approximants

DOI10.1006/jath.1996.3077zbMath0878.41012OpenAlexW2084276239MaRDI QIDQ1365557

Jeannette Van Iseghem, Peter R. Graves-Morris

Publication date: 7 December 1997

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3077

zbMATH Keywords

generalised inversesvector-valed Padé approximantsvector-valued C-fractions

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items (7)

Problems and progress in vector Padé approximation ⋮ A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary ⋮ Similarities of the integral Padé approximants. II ⋮ Solution of integral equations using Padé type approximants ⋮ The epsilon algorithm and related topics ⋮ Similarities of the integral Padé approximants ⋮ Introduction to the improved functional epsilon algorithm

Uses Software

• CLIFFORD

Cites Work

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• Clifford algebras and vector-valued rational forms. II
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• Convergence of the vector QD-algorithm. Zeros of vector orthogonal polynomials
• Degeneracies of generalized inverse, vector-valued Padé approximants
• An extension of a row convergence theorem for vector Padé approximants
• Extrapolation methods for vector sequences
• A review of Padé methods for the acceleration of convergence of a sequence of vectors
• Problems in algebraic combinatorics
• A new approach to acceleration of convergence of a sequence of vectors
• Cayley's theorem and its application in the theory of vector Padé approximants
• On the convergence of rows of vector Padé approximants
• A note on the \(\epsilon\)-algorithm
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Clifford algebras and vector-valued rational forms. I
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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