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 generalise
Vector Padé-Type Approximants and Vector Padé Approximants
✍ Scribed by A. Salam
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 146 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0021-9045
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✦ Synopsis
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 polynomials. Connections between generalised inverse Pade approximants of Graves-Morris and vectorvalued Pade approximants of Roberts will be given. New results will be proved.
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