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An extension of a row convergence theorem for vector Padé approximants

✍ Scribed by P.R. Graves-Morris; E.B. Saff

Book ID
107988919
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
566 KB
Volume
34
Category
Article
ISSN
0377-0427

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📜 SIMILAR VOLUMES

Row Convergence Theorems for Vector-Valu
Row Convergence Theorems for Vector-Valued Padé Approximants
✍ P.R. Graves-Morris; J. Van Iseghem 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 366 KB

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

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An algorithm for constructing a class of Padé approximants of vector functions
✍ R. Sadaka 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 558 KB

In this paper, in the first part, we present an algorithm for constructing the Pad6 approximant of a vector function defined by Sadaka (1996). In the second part we give two recurrence relations between the elements of adjacent systems.