On a representation of vector continued fractions.

Roberts, David E (1999) On a representation of vector continued fractions. Journal of Computational and Applied Mathematics, 105 (1 - 2). pp. 453-466. ISSN 0377 0427

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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 denominator polynomials of these fractions take particularly simple forms which require just a few degrees of freedom in their representation. The new description also allows the calculation of ”hybrid” approximants.

Item Type: Article
Print ISSN: 0377 0427
Uncontrolled Keywords: Vector Pade approximants; Power series; Vector continued fractions; Clifford algebras; Lipschitz group; Recurrence relation; Hybrid approximants.
University Divisions/Research Centres: Faculty of Engineering, Computing and Creative Industries > School of Engineering and the Built Environment
Dewey Decimal Subjects: 500 Science > 510 Mathematics > 512 Algebra
Library of Congress Subjects: Q Science > QA Mathematics
Item ID: 2428
Depositing User: Users 10 not found.
Date Deposited: 02 Oct 2008 13:41
Last Modified: 17 Sep 2013 14:05

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