This paper is the continuation of a work initiated in [P. Sablonnière, An algorithm for the computation of Hermite-Padé approximations to the exponential function: divided differences and Hermite-Padé forms. Numer. Algorithms 33 (2003) 443-452] about the computation of Hermite-Padé forms (HPF) and a
Nondiagonal quadratic Hermite-Padé approximation to the exponential function
✍ Scribed by Kathy Driver
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 396 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We investigate the polynomials P n , Q m , and R s , having degrees n, m, and s, respectively, with P n monic, that solve the approximation problem We give a connection between the coefficients of each of the polynomials P n , Q m , and R s and certain hypergeometric functions, which leads to a sim
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