Abstract
In his paper the notions of two-point Padé-type and two-point Padé approximants are generalized for multivariate functions, with a generating denominator polynomial of general form. The multivariate two-point Padé approximant can be expressed as a ratio of two determinants and computed recursively using the E-algorithm. A comparison is made with previous definitions by other authors using particular generating denominator polynomials. The last section contains some convergence results.
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Abouir, J., Cuyt, A. & Orive, R. Multivariate Two-Point Padé-Type and Two-Point Padé Approximants. Numerical Algorithms 33, 11–26 (2003). https://doi.org/10.1023/A:1025579014066
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DOI: https://doi.org/10.1023/A:1025579014066