Multivariate pade approximants
Copyright policy )Multivariate pade approximants
AbstractFor an operator F: Rn → R, analytic in the origin, the notion of (abstract multivariate Padé-approximant (APA) is introduced, by making use of abstract polynomials. The classical Padé-approximant (n = 1) is a special case of the multivariate theory and many interesting properties of classical Padé-approximants remain valid such as covariance properties and the block-structure [Annie A. M. Cuyt, J. Oper. Theory6 (2) (1981), 207–209] of the Padé-table. Also a projection-property for multivariate Padé-approximants is proved.
Applied Mathematics, determinantal formulas, Multidimensional problems, branched continued fractions, Padé approximation, multivariate interpolation sets, Mathematics, projection property, epsilon algorithm, Analysis
Applied Mathematics, determinantal formulas, Multidimensional problems, branched continued fractions, Padé approximation, multivariate interpolation sets, Mathematics, projection property, epsilon algorithm, Analysis
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