The Brezinski's idea of using Pad6-type approximants to estimate errors of Pad6 approximants is considerably developed. A new, more effective method based on this idea is presented and illustrated by numerical examples.
Pade approximants and the anharmonic oscillator
✍ Scribed by J.J. Loeffel; A. Martin; B. Simon; A.S. Wightman
- Book ID
- 113334067
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 225 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0370-2693
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📜 SIMILAR VOLUMES
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 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
Questions related to the convergence problem of diagonal Pad6 approximants are discussed. A central place is taken by the Pad6 Conjecture (also known as the Baker-Gammel-Wills Conjecture). Partial results concerning this conjecture are reviewed and weaker and more special versions of the conjecture