A multidimensional generalization of the Rutishauser qd-algorithm

R. I. Dmytryshyn

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.


Keywords


regular multidimensional C-fraction with independent variables, correspondence, multiple power series, algorithm

Full Text: Article References
3 :: 8

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.