The aim of this paper is to define vector Pade -type approximants and vector Pade approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Pade approximants will be derived from the theory of formal vector orthogonal poly
A new family of Padé-type approximants in
✍ Scribed by Paul Sablonniere
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 655 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A comparison is made between Pade and Pade -type approximants. Let Q n be the n th orthonormal polynomial with respect to a positive measure + with compact support in C. We show that for functions of the form where w is an analytic function on the support of +, Pade -type approximants with denomina
The notion of partial Padé approximant is generalized to that of general order multivariate partial Newton-Padé approximant. Previously introduced multivariate Padé-type approximants are recaptured as special cases so that it is a true and unifying generalization. The last section contains numerical