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Proceedings Paper

Block Lanczos tridiagonalization of complex symmetric matrices
Author(s): Sanzheng Qiao; Guohong Liu; Wei Xu
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Paper Abstract

The classic Lanczos method is an effective method for tridiagonalizing real symmetric matrices. Its block algorithm can significantly improve performance by exploiting memory hierarchies. In this paper, we present a block Lanczos method for tridiagonalizing complex symmetric matrices. Also, we propose a novel componentwise technique for detecting the loss of orthogonality to stablize the block Lanczos algorithm. Our experiments have shown our componentwise technique can reduce the number of orthogonalizations.

Paper Details

Date Published: 16 September 2005
PDF: 11 pages
Proc. SPIE 5910, Advanced Signal Processing Algorithms, Architectures, and Implementations XV, 591010 (16 September 2005); doi: 10.1117/12.615410
Show Author Affiliations
Sanzheng Qiao, McMaster Univ. (Canada)
Guohong Liu, McMaster Univ. (Canada)
Wei Xu, McMaster Univ. (Canada)

Published in SPIE Proceedings Vol. 5910:
Advanced Signal Processing Algorithms, Architectures, and Implementations XV
Franklin T. Luk, Editor(s)

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