✦ LIBER ✦
Row Convergence Theorems for Vector-Valued Padé Approximants
✍ Scribed by P.R. Graves-Morris; J. Van Iseghem
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 366 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
Yet another method of proof of de Montessus' 1902 theorem is given. We show how this proof readily extends to row convergence theorems for four different kinds of vector Pade approximants. These approximants all belong to the category associated with vector-valued C-fractions formed using generalised inverses. The proof of a conjecture by Graves-Morris and Saff (J. Comput. Appl. Math. 23, 1988, 63 85) is given and new row convergence theorems for hybrid vector Pade approximants are proved.