A multidimensional generalization of the Rutishauser qd-algorithm

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/7391

Title:	A multidimensional generalization of the Rutishauser qd-algorithm
Authors:	Dmytryshyn, Roman Дмитришин, Роман Іванович
Keywords:	regular multidimensional C-fraction with independent variables correspondence multiple power series algorithm
Issue Date:	2016
Citation:	Dmytryshyn R.I. A multidimensional generalization of the Rutishauser qd-algorithm // Carpathian Math. Publ. ‒ 2016. ‒ Vol. 8, № 2. ‒ P. 230–238.
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.
URI:	http://hdl.handle.net/123456789/7391
Appears in Collections:	Статті та тези (ФМІ)

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