ISSN:
1572-9265
Keywords:
Designant
;
Clifford algebra
;
extrapolation
;
vector ε-algorithm
;
AMS(MOS) 65B05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract This paper contains two general results. The first is an extension of the theory of general linear extrapolation methods to a non-commutative field (or even a non-commutative unitary ring). The second one, by exploiting these new results, is to solve an old conjecture about Wynn's vector ε-algorithm. Then, by using designants and Clifford algebras, we show how the vectors ∈ k (n) can be written as a ratio of two designants. This result allow us to find, as a particular case, some well-known results and some others which are new.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02140685
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