The epsilon algorithm in a noncommutative algebra

zbMath0631.65053MaRDI QIDQ1094825

André Draux

Publication date: 1987

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

zbMATH Keywords

Banach algebraconvergence accelerationPadé approximantsepsilon-algorithmapproximating fractionsconvergence approximation

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Padé approximation (41A21) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Continued fractions; complex-analytic aspects (30B70) Numerical summation of series (65B10) Convergence and divergence of continued fractions (40A15)

Related Items (2)

On the non-normal Padé table in a non-commutative algebra ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods

Cites Work

• Accélération de la convergence en analyse numérique
• Upon systems of recursions which obtain among the quotients of the Padé table
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• Convergence Theorems for Matrix Continued Fractions
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