Perturbing non-real eigenvalues of non-negative real matrices |
| |
Authors: | Siwen Guo |
| |
Institution: | a Institute of Educational Software, Guangzhou University 510006, PR China b Eban Commerce Inc., 38 Troyer CRT, Toronto, Ontario, Canada L4J 2M7 |
| |
Abstract: | Let σ=(ρ,b+ic,b-ic,λ4,…,λn) be the spectrum of an entry non-negative matrix and t?0. Laffey T. J. Laffey, Perturbing non-real eigenvalues of nonnegative real matrices, Electron. J. Linear Algebra 12 (2005) 73-76] has shown that σ=(ρ+2t,b-t+ic,b-t-ic,λ4,…,λn) is also the spectrum of some nonnegative matrix. Laffey (2005) has used a rank one perturbation for small t and then used a compactness argument to extend the result to all nonnegative t. In this paper, a rank two perturbation is used to deduce an explicit and constructive proof for all t?0. |
| |
Keywords: | 15A48 15A18 |
本文献已被 ScienceDirect 等数据库收录! |
|