A multidimensional generalization of the Rutishauser qd-algorithm

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.

Authors and Affiliations

R. Dmytryshyn

Keywords

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  • EP ID EP327004
  • DOI 10.15330/cmp.8.2.230-238
  • Views 93
  • Downloads 0

How To Cite

R. Dmytryshyn (2016). A multidimensional generalization of the Rutishauser qd-algorithm. Карпатські математичні публікації, 8(2), 230-238. https://europub.co.uk/articles/-A-327004