Using complex-orthogonal transformations to diagonalize a complex symmetric matrix

Franklin T. Luk; Sanzheng Qiao

doi:10.1117/12.284193

24 October 1997 Using complex-orthogonal transformations to diagonalize a complex symmetric matrix

Franklin T. Luk, Sanzheng Qiao

Proceedings Volume 3162, Advanced Signal Processing: Algorithms, Architectures, and Implementations VII; (1997) https://doi.org/10.1117/12.284193
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

In this paper, we propose the use of complex-orthogonal transformations for finding the eigenvalues of a complex symmetric matrix. Using these special transformations can significantly reduce computational costs because the tridiagonal structure of a complex symmetric matrix is maintained.

Citation Download Citation

Franklin T. Luk and Sanzheng Qiao "Using complex-orthogonal transformations to diagonalize a complex symmetric matrix", Proc. SPIE 3162, Advanced Signal Processing: Algorithms, Architectures, and Implementations VII, (24 October 1997); https://doi.org/10.1117/12.284193

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