The nested multivariate Pade approximants were recently introduced. In the case of two variables x and y, they consist in applying the Pade approximation with respect to y to the coefficients of the Pade approximation with respect to x. The principal advantage of the method is that the computation o
A direct approach to convergence of multivariate, nonhomogeneous, Padé approximants
✍ Scribed by A. Cuyt; K.A. Driver; D.S. Lubinsky
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 544 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
In previous papers the convergence of sequences of ``rectangular'' multivariate Pade -type approximants was studied. In other publications definitions of ``triangular'' multivariate Pade -type approximants were given. We extend these results to the general order definition where the choice of the de
analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assum