Abstract
We demonstrate how the use of Clifford algebras in the theory of vector-valued rational forms leads to practical recurrence relations which do not involve representations of the algebras
Similar content being viewed by others
References
P.R. Graves-Morris, Vector-valued rational interpolants I, Num. Math. 42 (1983) 331–348.
P.R. Graves-Morris and C.D. Jenkins, Vector-valued rational interpolants III, Constr. Approx. 2 (1986) 263–287.
P.R. Graves-Morris and E.B. Saff, Row convergence theorems for generalized inverse vector-valued Padé approximants, J.C.A.M. 23 (1988) 63–85.
P.R. Graves-Morris and D.E. Roberts, From matrix to vector Padé approximants, University of Bradford report (1991).
G.N. Hile and P. Lounesto, Matrix representations of Clifford algebras, Lin. Alg. Appl. 128 (1990) 51–63.
J.B. McLeod, A note on the ε-algorithm, Computing 7 (1971) 17–24.
I.R. Porteous,Topological Geometry, 2nd ed. (Cambridge University Press, 1981).
P.K. Rasevskii, The theory of spinors, Trans. Am. Math. Soc. series 2, 6 (1957) 1–110.
D.E. Roberts, Clifford algebras and vector-valued rational forms I, Proc. Roy. Soc. Lond. A 431 (1990) 285–300.
D.A. Smith, W.F. Ford and A. Sidi, Extrapolation methods for vector sequences, SIAM Rev. 29 (1987) 199–233.
P. Wynn, Continued fractions whose coefficients obey a non-commutative law of multiplication, Arch. Ration. Mech. Anal. 12 (1963) 273–312.
P. Wynn, Vector continued fractions, Lin. Alg. Appl. 1 (1968) 357–395.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Roberts, D.E. Clifford algebras and vector-valued rational forms II. Numer Algor 3, 371–381 (1992). https://doi.org/10.1007/BF02141944
Issue Date:
DOI: https://doi.org/10.1007/BF02141944