Computer Science
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999spie.3807..324l&link_type=abstract
Proc. SPIE Vol. 3807, p. 324-333, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, Franklin T. Luk;
Computer Science
Scientific paper
This paper analyzes the important steps of an O(n2 log n) algorithm for finding the eigenvalues of a complex Hankel matrix. The three key steps are a Lanczos-type tridiagonalization algorithm, a fast FFT-based Hankel matrix-vector product procedure, and a QR eigenvalue method based on complex-orthogonal transformations. In this paper, we present an error analysis of the three steps, as well as results from numerical experiments.
Luk Franklin T.
Qiao Sanzheng
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