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Section B

A parallel characterization of H-matrices

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Pages 1160-1166 | Received 20 Nov 2006, Accepted 20 Oct 2007, Published online: 17 Jun 2009
 

Abstract

Recently, some iterative characterizations of H-matrices have been proposed. These methods can have less computational complexity than the direct ones, but as they are all designed for a sequential computer, they may be not so effective for large scalar matrices. In this paper, based on the previous and new ideas, we discuss about the parallel characterization of H-matrices on the distributed-memory multiprocessor machines, and propose two new algorithms which need fewer number of iterations and less computational time than the earlier ones. Several numerical examples to show the effectiveness of the proposed algorithms are provided.

Acknowledgements

This work was supported in part by National Natural Science Foundation of China (10671164), Hunan Provincial Natural Science Foundation of China (04JJ40005), Science and Research Fund of Hunan Provincial Education Department(06A070).

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