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BiCGStab, VPAStab and an adaptation to mildly nonlinear systems.

No / The key equations of BiCGStab are summarised to show its connections with Pade and vector-Pade approximation. These considerations lead naturally to stabilised vector-Pade approximation of a vector-valued function (VPAStab), and an algorithm for the acceleration of convergence of a linearly generated sequence of vectors. A generalisation of this algorithm for the acceleration of convergence of a nonlinearly generated system is proposed here, and comparative numerical results are given.

Identiferoai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/3622
Date January 2007
CreatorsGraves-Morris, Peter R.
Source SetsBradford Scholars
LanguageEnglish
Detected LanguageEnglish
TypeArticle, No full-text in the repository

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