A multidimensional generalization of the Rutishauser $qd$-algorithm
2016 ◽
Vol 8
(2)
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pp. 230-238
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Keyword(s):
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.
2018 ◽
Vol 26
(1)
◽
pp. 18
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2017 ◽
Vol 9
(1)
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pp. 13-21
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2018 ◽
Vol 9
(2)
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pp. 120-127
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2019 ◽
Vol 71
(3)
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pp. 370-386
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1999 ◽
Vol 22
(4)
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pp. 775-784