论文信息 - Multivariate Two-Point Padé-Type and Two-Point Padé Approximants

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.

Annie A. M. Cuyt | Ramón A. Orive Rodríguez | Jilali Abouir

[1] Annie Cuyt. A recursive computation scheme for multivariate rational interpolants , 1987 .

[2] D. Levin,et al. General Order Padè-type Rational Approximants Defined from Double Power Series , 1976 .

[3] T. Håvie,et al. Generalized neville type extrapolation schemes , 1979 .

[4] J. Chisholm. N-VARIABLE RATIONAL APPROXIMANTS , 1977 .

[5] Claude Brezinski,et al. A general extrapolation algorithm , 1980 .

[6] R. Range. Holomorphic Functions and Integral Representations in Several Complex Variables , 1998 .

[7] On the Convergence of General Order Multivariate Padé-Type Approximants , 1996 .

[8] William B. Jones,et al. Two-point Padé expansions for a family of analytic functions☆ , 1983 .

[9] A. Draux. On two-point Padé-Type and two-Point Padé approximants , 1991 .

[10] J. McCabe,et al. A Formal Extension of the Padé Table to Include Two Point Padé Quotients , 1975 .

[11] On the convergence of two-point Padé-type approximants , 1996 .

[12] P. González-Vera,et al. On a family of multivariate two-point rational approximants , 1992 .

[13] C. Brezinski. Padé-type approximants , 1980 .