Research Output

On a representation of vector continued fractions.

  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.

  • Type:

    Article

  • Date:

    30 April 1999

  • Publication Status:

    Published

  • Publisher

    North Holland, imprint of Elsevier

  • DOI:

    10.1016/S0377-0427(99)00034-5

  • ISSN:

    0377-0427

  • Library of Congress:

    QA Mathematics

  • Dewey Decimal Classification:

    512 Algebra

Citation

Roberts, D. E. (1999). On a representation of vector continued fractions. Journal of Computational and Applied Mathematics. 105, 453-466. doi:10.1016/S0377-0427(99)00034-5. ISSN 0377-0427

Keywords

Vector Pade approximants; Power series; Vector continued fractions; Clifford algebras; Lipschitz group; Recurrence relation; Hybrid approximants.

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