Abstract
Some well known convergence criteria for continued fractions are generalized on the two-dimensional case. Using the difference formula for approximants of the two-dimensional continued fraction and the majorant method some estimates of the convergence speed are obtained.
Research supported in part by the Fundamental Investigation Foundation of the Science and Technology State Committee of Ukraine and the Iternational Science Foundation
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© 1994 Springer Science+Business Media Dordrecht
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Kuchmins’ka, K. (1994). Convergence Criteria of Two-Dimensional Continued Fractions. In: Cuyt, A. (eds) Nonlinear Numerical Methods and Rational Approximation II. Mathematics and Its Applications, vol 296. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0970-3_32
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DOI: https://doi.org/10.1007/978-94-011-0970-3_32
Publisher Name: Springer, Dordrecht
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