Results 221 to 230 of about 10,363 (245)

A Criterion of Convergence of a Branched Continued Fraction with Positive Elements

Journal of Mathematical Sciences, 2017
An inequality for harmonic means is proved and used to establish a sufficient criterion of convergence and to estimate the rate of convergence of branched continued fractions with positive components.
D. I. Bodnar, O. H. Voznyak, R. I. Mykhal’chuk   +2 more
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Vector valued rational interpolants by triple branched continued fractions

Applied Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tan Jieqing, Jieqing Tan
exaly   +2 more sources

On branched continued fractions rational interpolation over pyramid-typed grids

Numerical Algorithms, 2009
Rational interpolation in three dimensions and branched continued fractions are studied and applied. For this, also error estimates (with a remainder formula) and computational algorithms are provided. In order to facilitate the computations, three-term recurrence relations are established which are also used to show a characterization theorem.
Renhong Wang, Wang Renhong, Qian Jiang   +2 more
exaly   +2 more sources

On the stability of branching continued fractions

Journal of Mathematical Sciences, 1996
We study two aspects of the stability problem for various types of branching fractions using the domains of the elements, the region of convergence, and limit-periodic fractions.
D. I. Bodnar, Kh. Bodeland, K. I. Kuchmins'ka, O. M. Sus'   +3 more
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Relation between interpolating integral continued fractions and interpolating branched continued fractions

Journal of Mathematical Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makarov, V. L., Demkiv, I. I.
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Solution of Matrix Equations by Branching Continued Fractions

Cybernetics and Systems Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koval'chuk, O. Ya., Nedashkovskii, N. A.
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Development of the Theory of Branched Continued Fractions in 1996–2016

Journal of Mathematical Sciences, 2018
The authors analyze the research in the theory of branching continued fractions carried out during the last 20 years in the directions developed under the general supervision of Professor V. Ya. Skorobogatko (18.07.1927--04.07.1996). Some of the directions are the interpolation of functions of several variables by branching continued fractions, the ...
Bodnar, D. I., Kuchminska, Kh. Yo.
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The modeling of antenna arrays by branched continual fractions

5th International Conference on Antenna Theory and Techniques, 2005., 2005
The results of generalization of mathematical models for wide class of one-dimensional modulated antenna arrays, photonic crystals, impedance and dielectric structures in the form of the branched continual fractions, which are built by recurrence formula, are represented in the article.
Hoblyk, Viktor V., Hoblyk, Nadiya M.
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On the convergence of branched continued fractions

Journal of Mathematical Sciences, 1999
The author presents a short survey of ideas and results related with the investigation of convergence of the branching continued fractions. The list of references contains 33 works.
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Evaluation of Branched Continued Fractions using Block-Tridiagonal Linear Systems

IMA Journal of Numerical Analysis, 1988
It is shown the convergent of a branched continued fraction (for the definition see the previous review) can be considered as the first unknown of a block-tridiagonal linear system. Hence algorithms for the solution of such systems of equations can be used for the computation of convergents of branched continued fractions.
Cuyt, A., Verdonk, B.
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