A generalization of a theorem of Pringsheim

DOI10.1016/0021-9045(82)90023-5zbMath0511.46047OpenAlexW2077903308MaRDI QIDQ1838682

Max Riederle, Hans Denk

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90023-5

zbMATH Keywords

noncommutative continued fractionstheorem of Pringsheim

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (6)

Quadratic operator equations and periodic operator continued fractions ⋮ Closure method and asymptotic expansions for linear stochastic systems ⋮ Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion ⋮ Two-sided continued fractions in Banach algebras -- a Śleszyński-Pringsheim-type convergence criterion and applications ⋮ Non-commutative double-sided continued fractions ⋮ Algebraic reduction methods and their applications to matrix continued fractions

Cites Work

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• Diophantine approximation in a vector space
• Approximation of exponential function of a matrix by continued fraction expansion
• Iterative solution of spectral operator polynomial equations and a related continued fraction
• Continued fractions in Banach spaces
• Matrix moment methods in perturbation theory, boson quantum field models, and anharmonic oscillators
• A note on the use of a continued fraction for perturbation theory
• p-adische Kettenbrüche und Irrationalität p-adischer Zahlen
• Vector continued fractions
• Padé approximations to the operator exponential
• A convergence theorem for noncommutative continued fractions
• Continued fraction solution of the Riccati equation in a Banach algebra
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• An Iterative Solution of the Quadratic Equation in Banach Space
• Matrix continued fraction expansion and inversion by the generalized matrix Routh algorithm
• Minimal realizations of transfer-function matrices by means of matrix continued fraction
• Analytic Expressions for Continued Fractions Over a Vector Space
• Additional properties and applications of matrix continued fraction†
• On Some Recent Developments in the Theory and Application of Continued Fractions
• Analysis of a family of fraction expansions in linear analysis
• Continued Fractions Over an Inner Product Space
• Noncommutative Continued Fractions
• The Parabola Theorem for Continued Fractions Over a Vector Space
• A Note on a Method of Bellman and Richardson in Perturbation Theory

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