The uniform convergence of subsequences of the last intermediate row of the Padé table

DOI10.1016/S0021-9045(03)00079-0zbMath1021.41008OpenAlexW2016707928MaRDI QIDQ1395803

D. Massart

Publication date: 1 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9045(03)00079-0

zbMATH Keywords

asymptotic behaviorPadé approximationWiener-Hopf factorizationmeromorphic functionPadé tabledominant poleessential polynomialsparameter groupset of additional limit points

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21)

Cites Work

• Quantitative and constructive aspects of the generalized Koenig's and de Montessus's theorems for Padé approximants
• On Wiener-Hopf factorization of meromorphic matrix functions
• Factorization of finite rank Hankel and Toeplitz matrices
• Convergence of rows of the Padé table
• Generalized inversion of block Toeplitz matrices
• Factorization of analytic matrix-valued functions
• Intermediate rows of the Walsh array of best rational approximants to meromorphic functions
• Generalizations of Montessus's theorem on the row convergence of rational interpolations
• CONVERGENCE OF DIAGONAL PADÉ APPROXIMANTS
• On the Row Convergence of the Walsh Array for Meromorphic Functions
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