Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602122 | Linear Algebra and its Applications | 2006 | 26 Pages |
Abstract
An implicit version of the shifted QR eigenvalue algorithm given in Bini et al. [D.A. Bini, Y. Eidelman, I. Gohberg, L. Gemignani, SIAM J. Matrix Anal. Appl. 29(2) (2007) 566–585] is presented for computing the eigenvalues of an n×n companion matrix using O(n2) flops and O(n) memory storage. Numerical experiments and comparisons confirm the effectiveness and the stability of the proposed method.
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