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Newton–Padé approximations for multivariate functions

Author

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  • Akal, C.
  • Lukashov, A.

Abstract

We modify Cuyt and Verdonk’s approach to multivariate Newton–Padé approximations. Explicit formulas are given for coefficients which can be computed once for given system of nodes, and the linear system of equations to find multivariate Newton–Padé approximants can be written using simple formulas with those coefficients and the Newton series of interpolated function.

Suggested Citation

  • Akal, C. & Lukashov, A., 2018. "Newton–Padé approximations for multivariate functions," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 367-374.
    • Handle: RePEc:eee:apmaco:v:334:y:2018:i:c:p:367-374
    DOI: 10.1016/j.amc.2018.04.033
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    Cited by:

    1. Le Zou & Liangtu Song & Xiaofeng Wang & Yanping Chen & Chen Zhang & Chao Tang, 2020. "Bivariate Thiele-Like Rational Interpolation Continued Fractions with Parameters Based on Virtual Points," Mathematics, MDPI, vol. 8(1), pages 1-21, January.

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