Averaging operators for exponential splittings |
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Authors: | Marko Huhtanen |
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Affiliation: | (1) Institute of Mathematics, Helsinki University of Technology, Box 1100, 02015 Hut, Finland |
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Abstract: | Averaging operations are considered in connection with exponential splitting methods. Toeplitz plus Hankel related matrices are resplit by applying appropriate averaging operators leading to a hierarchy of structured matrices. With the resulting parts, the option of using exponential splitting methods becomes available. A related, seemingly important group of unitary unipotents is looked at. Based on a formula due to Lenard, a very fast iterative method to find the nearest Toeplitz plus Hankel matrix in the Frobenius norm is devised. |
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Keywords: | 65F30 65L05 |
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