BiCGStab,VPAStab and an adaptation to mildly nonlinear systems |
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Authors: | PR Graves-Morris |
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Institution: | Department of Computing, University of Bradford, Bradford BD7 1DP, UK |
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Abstract: | The key equations of BiCGStab are summarised to show its connections with Padé and vector-Padé approximation. These considerations lead naturally to stabilised vector-Padé 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. |
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Keywords: | 41A21 65B05 65D15 65H10 |
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