Results 241 to 250 of about 1,656,816 (274)
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Applied Numerical Mathematics, 1988
Let \(b_ 0+\frac{a_ 1}{b_ 1+}\frac{a_ 2}{b_ 2+}..\). be a given continued fraction (CF). If we substitute each partial denominator \(b_ j\) by another CF \(b_{0j}\frac{a_{1i}}{b_{1i}+}\frac{a_{2i}}{b_{2i}+}..\). we obtain a CF of the form \[ b_{00}+\frac{a_{10}}{b_{10}+}...+\frac{a_ 1}{b_{0i}+\frac{a_{1i}}{b_{1i}}...}\frac{a_ 2}{b_{02 ...
Cuyt, A.A.M., Verdonk, B.M.
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Let \(b_ 0+\frac{a_ 1}{b_ 1+}\frac{a_ 2}{b_ 2+}..\). be a given continued fraction (CF). If we substitute each partial denominator \(b_ j\) by another CF \(b_{0j}\frac{a_{1i}}{b_{1i}+}\frac{a_{2i}}{b_{2i}+}..\). we obtain a CF of the form \[ b_{00}+\frac{a_{10}}{b_{10}+}...+\frac{a_ 1}{b_{0i}+\frac{a_{1i}}{b_{1i}}...}\frac{a_ 2}{b_{02 ...
Cuyt, A.A.M., Verdonk, B.M.
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On branched continued fractions rational interpolation over pyramid-typed grids
Numerical Algorithms, 2009Rational 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
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Vector valued rational interpolants by triple branched continued fractions
Applied Mathematics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tan, Jieqing, Tang, Shuo
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On the stability of branching continued fractions
Journal of Mathematical Sciences, 1996We 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 +3 more
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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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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, 2004zbMATH 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, 2018The 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., 2005The 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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Evaluation of Branched Continued Fractions using Block-Tridiagonal Linear Systems
IMA Journal of Numerical Analysis, 1988It 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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Associated Branched Continued Fractions with Two Independent Variables
Ukrainian Mathematical Journal, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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