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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Bibliographic Details
Published in:	Journal of mathematical sciences (New York, N.Y.) Vol. 208; no. 3; pp. 301 - 309
Main Author:	Dmytryshyn, R. I.
Format:	Journal Article
Language:	English
Published:	New York Springer US 04.07.2015 Springer
Subjects:	Mathematics Mathematics and Statistics Continue Fraction Formal Power Series Ukrainian National Academy Meromorphic Function Recurrence Relation
ISSN:	1072-3374, 1573-8795
Online Access:	Get full text
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Description
Summary:	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