| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4672867 | Indagationes Mathematicae | 2012 | 29 Pages |
Abstract
In this paper, we elaborate on the implicit shifted QR eigenvalue algorithm given in [D.A. Bini, P. Boito, Y. Eidelman, L. Gemignani, I. Gohberg, A fast implicit QR eigenvalue algorithm for companion matrices, Linear Algebra Appl. 432 (2010), 2006-2031]. The algorithm is substantially simplified and speeded up while preserving its numerical robustness. This allows us to obtain a potentially important advance towards a proof of its backward stability together with both cost reductions and implementative benefits.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
P. Boito, Y. Eidelman, L. Gemignani, I. Gohberg (Z”L),