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A new interpolation formula in the form of a continued fraction

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Czechoslovak Journal of Physics B Aims and scope

Abstract

An interpolation formula in the form of a continued fraction is derived. In the limit case, where the table points are equal, it turns into an expansion of the function into a continued fraction near the point. The formula can be a useful tool for interpolating singular functions. As an application, a series of methods for solving non-linear equations is derived, the first two of them being identical with the methods by Halley and Kiss.

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Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Na Slovance 2, 180 40, Praha 8, Czechoslovakia

    B. Michalík

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  1. B. Michalík
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Michalík, B. A new interpolation formula in the form of a continued fraction. Czech J Phys 33, 713–719 (1983). https://doi.org/10.1007/BF01589745

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  • DOI: https://doi.org/10.1007/BF01589745

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