Two-Dimensional Generalization of the Rutishauser qd -Algorithm

A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.

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Vydáno v:Journal of mathematical sciences (New York, N.Y.) Ročník 208; číslo 3; s. 301 - 309
Hlavní autor: Dmytryshyn, R. I.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 04.07.2015
Springer
Témata:
Mathematics
Mathematics and Statistics
Continue Fraction
Formal Power Series
Ukrainian National Academy
Meromorphic Function
Recurrence Relation
ISSN:1072-3374, 1573-8795
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Shrnutí:A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established. Some examples of analytic functions represented by regular two-dimensional C -fractions with independent variables are given.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2447-9