On the asymptotic convergence factor of the total step method in interval computation |
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| Institution: | Institut für Angewandte Mathematik Universität Karlsruhe (TH) Kaiserstraβe 12 D-7500 Karlsruhe, West Germany |
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| Abstract: | For a special class of n×n interval matrices A we derive a necessary and sufficient condition for the asymptotic convergence factor α of the total step method x(m+1)=Ax(m)+b to be less than the spectral radius ϱ(|A|) of the absolute value |A| of A. |
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