Multivariate two-point Padé-type and two-point Padé approximants
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.
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.
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.
Springer
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