On a vector q-d algorithm

Abstract

Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding to a given vector-valued power series. We demonstrate that these elements are ratios of vectors, which may be calculated with the aid of a cross rule using only vector operations. For… (More)
DOI: 10.1023/A:1018944213562

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Cite this paper

@article{Roberts1998OnAV, title={On a vector q-d algorithm}, author={D. E. Roberts}, journal={Adv. Comput. Math.}, year={1998}, volume={8}, pages={193-219} }