BiCGStab, VPAStab and an adaptation to mildly nonlinear systems.

Description

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.

Links & Downloads

1. Graves-Morris, P.R. (2007). BiCGStab, VPAStab and an adaptation to mildly nonlinear systems. Journal of Computational and Applied Mathematics. Vol. 201, No. 1, pp. 284-299.
2. http://hdl.handle.net/10454/3622
3. https://doi.org/10.1016/j.cam.2006.02.022

Tags

BiCGStab

Bratu equation

Burghers' equation

Nonlinear system

Vector-Padé approximation

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/3622
Date	January 2007
Creators	Graves-Morris, Peter R.
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Article, No full-text in the repository