Two-sided continued fractions in Banach algebras -- a Śleszyński-Pringsheim-type convergence criterion and applications

DOI10.1016/j.jat.2015.06.005zbMath1346.46044OpenAlexW788106703MaRDI QIDQ496569

Hendrik Baumann

Publication date: 22 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jat.2015.06.005

zbMATH Keywords

rate of convergencecontinued fractions in Banach algebrasmatrix continued fractionsPringsheim-type convergence criterion

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) General theory of topological algebras (46H05) Convergence and divergence of continued fractions (40A15)

Related Items (2)

Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion ⋮ Finite-state-space truncations for infinite quasi-birth-death processes

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• Solving spin quantum master equations with matrix continued-fraction methods: application to superparamagnets
• Introduction to Matrix Analytic Methods in Stochastic Modeling
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