✦ LIBER ✦

Hybrid vector transformations

✍ Scribed by K. Jbilou; H. Sadok

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 695 KB
Volume: 81
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00064-2

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✦ Synopsis

We present in this paper hybrid and semi-hybrid vector extrapolation methods. For a vector sequence transformation, we will define the generalized residual which allows us to introduce a new hybrid vector transformation. When solving linear systems, this new transformation reduces to the hybrid procedure defined by Brezinski and Redivo Zaglia (1994) which is a generalization of the smoothing technique. In the second part of this paper, we define a new composite transformation called semi-hybrid. When applied to linearly generated sequences, we will show that the residual polynomial of the semi-hybrid transformation is the product of two residual polynomials.

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