On the sensitivity of the coefficients of Padé approximants with respect to their defining power series coefficients

DOI10.1016/0771-050X(82)90063-8zbMath0489.65014MaRDI QIDQ1166886

T. R. Hopkins

Publication date: 1982

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

zbMATH Keywords

power series coefficientsill conditioningsensitivity of the coefficients

Mathematics Subject Classification ID

Padé approximation (41A21) Algorithms for approximation of functions (65D15) Numerical summation of series (65B10)

Related Items

A comparison of numerical methods for the solution of quasilinear equations

Uses Software

• ALTRAN
• LINPACK

Cites Work

• Computations of coefficients in the polynomials of Padé approximations by solving systems of linear equations
• The convergence of sequences of Padé approximants
• The condition of gram matrices and related problems
• Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
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