A multidimensional generalization of the Rutishauser qd-algorithm

Authors

  • R.I. Dmytryshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2845-0137
https://doi.org/10.15330/cmp.8.2.230-238

Keywords:

regular multidimensional C-fraction with independent variables, correspondence, multiple power series, algorithm
Published online: 2016-12-30

Abstract

In this paper the regular multidimensional C-fraction with independent variables, which is a generalization of regular C-fraction, is considered. An algorithm of calculation of the coefficients of the regular multidimensional C-fraction with independent variables correspondence to a given formal multiple power series is constructed. Necessary and sufficient conditions of the existence of this algorithm are established. The above mentioned algorithm is a multidimensional generalization of the Rutishauser qd-algorithm.

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How to Cite
(1)
Dmytryshyn, R. A Multidimensional Generalization of the Rutishauser qd-Algorithm. Carpathian Math. Publ. 2016, 8, 230-238.

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