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The semi‐iterative method applied to the hyper‐power iteration |
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| Authors: | Xuzhou Chen Robert E Hartwig |
| Abstract: | The semi‐iterative method (SIM) is applied to the hyper‐power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi‐iterative–hyper‐power (SIM–HP) iteration. The root convergence rate is computed for both the HP and SIM–HP methods, and the quotient convergence rate is given for the HP iteration. Copyright © 2005 John Wiley & Sons, Ltd. |
| Keywords: | hyper‐power iteration semi‐iterative method asymptotic convergence rate quotient convergence rate root‐convergence rate |