Roberts, David E (1999) On a representation of vector continued fractions. Journal of Computational and Applied Mathematics, 105 (1 - 2). pp. 453-466. ISSN 03770427
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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.
|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|
|Depositing User:||Dr. David A. Cumming|
|Date Deposited:||02 Oct 2008 14:41|
|Last Modified:||12 Jan 2011 04:49|
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