%0 Journal Article
%A
%T Clifford algebras and vector-valued rational forms. I
%D 1990
%R 10.1098/rspa.1990.0131
%J Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
%P 285-300
%V 431
%N 1882
%X We demonstrate how Clifford algebras offer a framework for the construction of vector-valued rational forms possessing features of the usual scalar theory, including three-term recurrence relations for continued fractions. The price for this advantage is that the Mooreâ€“Penrose generalized inverse is replaced by the multiplicative group inverse of a Clifford algebra. However, the connection between the new vector-valued rational forms and generalized inverse rational forms is a close one; in fact, the two forms are identical for real analytic data.
%U http://rspa.royalsocietypublishing.org/content/royprsa/431/1882/285.full.pdf