A de Montessus type convergence study for a vector-valued rational interpolation procedure

DOI10.1007/s11856-008-0009-2zbMath1144.41002OpenAlexW2048393329MaRDI QIDQ926422

Avram Sidi

Publication date: 27 May 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-0009-2

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (2)

A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure II ⋮ A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure

Cites Work

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• Quantitative and constructive aspects of the generalized Koenig's and de Montessus's theorems for Padé approximants
• Rational approximations from power series of vector-valued meromorphic functions
• A new approach to vector-valued rational interpolation
• Algebraic properties of some new vector-valued rational interpolants
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• Acceleration of Convergence of Vector Sequences
• The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points

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