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Erschienen in:
2006 | OriginalPaper | Buchkapitel
A Parallel Solution of Hermitian Toeplitz Linear Systems,
verfasst von : Pedro Alonso, Miguel O. Bernabeu, Antonio M. Vidal
Erschienen in: Computational Science – ICCS 2006
Verlag: Springer Berlin Heidelberg
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A parallel algorithm for solving complex hermitian Toeplitz linear systems is presented. The parallel algorithm exploits the special structure of Toeplitz matrices to obtain the solution in a quadratic asymptotical cost. Our parallel algorithm transfors the Toeplitz matrix into a Cauchy–like matrix. Working on a Cauchy–like system lets to work with real arithmetic. The parallel algorithm for the solution of a Cauchy–like matrix has a low amount of communication cost regarding other parallel algorithms that work directly on the Toeplitz system. We use a message–passing programming model. The experimental tests are obtained in a cluster of personal computers.