All Outputs (2)

On a representation of vector continued fractions. (1999)
Journal Article
Roberts, D. E. (1999). On a representation of vector continued fractions. Journal of Computational and Applied Mathematics, 105(1-2), 453-466. https://doi.org/10.1016/S0377-0427%2899%2900034-5

Vector Pade approximants to power series with vector coefficients may be calculated using the three-term recurrence relations of vector continued fractions if formulated in the framework of Clifford algebras. We show that the numerator and denominat... Read More about On a representation of vector continued fractions..

On the algebraic foundations of the vector epsilon-algorithm. (1995)
Book Chapter
Roberts, D. E. (1995). On the algebraic foundations of the vector epsilon-algorithm. In R. Ablamowicz, & P. Lounesto (Eds.), Clifford algebras and spinor structures: A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992) (343-361). Klu

We review the Clifford algebraic foundations of versions of the vector epsilon-algorithm. This involves the formation of rational approximants to vector-valued functions defined by a power series. We summarise their properties and demonstrate how a s... Read More about On the algebraic foundations of the vector epsilon-algorithm..