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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Podrobná bibliografia
Vydané v:	Journal of mathematical sciences (New York, N.Y.) Ročník 208; číslo 3; s. 301 - 309
Hlavný autor:	Dmytryshyn, R. I.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 04.07.2015 Springer
Predmet:	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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Popis
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