TY - JOUR
T1 - Clifford algebras and vector-valued rational forms. I
JF - Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
SP - 285
LP - 300
M3 - 10.1098/rspa.1990.0131
VL - 431
IS - 1882
AU -
Y1 - 1990/11/08
UR - http://rspa.royalsocietypublishing.org/content/431/1882/285.abstract
N2 - 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.
ER -