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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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    Abstract/Description

    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: Dr. David A. Cumming
    Date Deposited: 02 Oct 2008 14:41
    Last Modified: 17 Sep 2013 15:05
    URI: http://researchrepository.napier.ac.uk/id/eprint/2428

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