Using complex-orthogonal transformations to diagonalize a complex symmetric matrix

Franklin T. Luk, Sanzheng Qiao · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997

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.

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