2006•Unpublished venueRequires access

Multivariate Perturbed Padé Approximation

Zheng Chengde, Zhang Huaguang

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Abstract

In the present work, a new definition of multivariate Padé approximation of a given function which has a convergent power series form is introduced. This approximation is called multivariate perturbed Padé approximation. The error of the introduced approximation vanishes at some points in the square [0, 0.5]2. A comparison of the results obtained by our introduced approximation and the well-known Canterbury Approximation (proposed by J. Chisholm and his colleagues) is given.

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In the present work, a new definition of multivariate Padé approximation of a given function which has a convergent power series form is introduced. This approximation is called multivariate perturbed Padé approximation. The error of the introduced approximation vanishes at some points in the square [0, 0.5]2. A comparison of the results obtained by our introduced approximation and the well-known Canterbury Approximation (proposed by J. Chisholm and his colleagues) is given.

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Available abstract

In the present work, a new definition of multivariate Padé approximation of a given function which has a convergent power series form is introduced. This approximation is called multivariate perturbed Padé approximation. The error of the introduced approximation vanishes at some points in the square [0, 0.5]2. A comparison of the results obtained by our introduced approximation and the well-known Canterbury Approximation (proposed by J. Chisholm and his colleagues) is given.

Key concepts: Multivariate statistics, Approximation theory, Minimax approximation algorithm, Spouge's approximation, Approximation error, Function approximation, Approximation algorithm, Series (stratigraphy)

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