| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4638085 | Journal of Computational and Applied Mathematics | 2016 | 11 Pages |
Abstract
Consider an n×nn×n matrix AA and a set ΛΛ consisting of k≤nk≤n prescribed complex numbers. Lippert (2010) in a challenging article, studied geometrically the spectral norm distance from AA to the set of matrices whose spectra included specified set ΛΛ and constructed a perturbation matrix ΔΔ with minimum spectral norm such that A+ΔA+Δ had ΛΛ in its spectrum. This paper presents an easy practical computational method for constructing the optimal perturbation ΔΔ by improving and extending the methodology, necessary definitions and lemmas of previous related works. Also, some conceivable applications of this issue are provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
E. Kokabifar, G.B. Loghmani, S.M. Karbassi,