Analysis of a fast Hankel eigenvalue algorithm

Computer Science

Scientific paper

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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.

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