A note on convergence of the multigrid V-cycle |
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Authors: | Seymour V. Parter |
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Affiliation: | Computer Sciences Department University of Wisconsin—Madison Madison, Wisconsin 53706, USA |
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Abstract: | Several recent papers have discussed the convergence of the multigrid V-cycle. In particular there are several results for the symmetric case: where the numbers of smoothings before the fine-to-coarse transfer and after the coarse-to-fine transfer are the same. In most instances, the smoother H=I?E-1A has been limited to the case where E is positive definite and the eigenvalues h of H satisfy 0?h?1. In this note we extend these results to asymmetric V-cycles and the case where -b?h?1 with 0<b<1. |
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