Roberts, David E (1995) On the algebraic foundations of the vector epsilonalgorithm. In: Clifford algebras and spinor structures: A special volume dedicated to the memory of Albert Crumeyrolle (19191992). Mathematics and its applications (321). Kluwer Academic, pp. 343361. ISBN 0792333667 or 9780792333661

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Abstract/Description
We review the Clifford algebraic foundations of versions of the vector epsilonalgorithm. This involves the formation of rational approximants to vectorvalued functions defined by a power series. We summarise their properties and demonstrate how a study of these algebraic constructs leads to convergence results concerning the vector epsilontable which we apply to the iterative solution of simultaneous linear equations. The generalisation of the epsilonalgorithm to vector rational Hermite interpolants is also presented. Finally, we consider various algebraic representations for generalised inverse rational approximants and interpolants.
Item Type:  Book Section 

ISBN:  0792333667 or 9780792333661 
Uncontrolled Keywords:  Vector epsilonalgorithm; Vector rational approximants; Hermite interpolants; Iterative solutions; Linear equations. 
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:  2424 
Depositing User:  Users 10 not found. 
Date Deposited:  01 Oct 2008 15:50 
Last Modified:  02 Jun 2014 15:43 
URI:  http://researchrepository.napier.ac.uk/id/eprint/2424 
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