On spectrum and approximations of one class of sign-symmetric matrices
| dc.creator | Kushel, Olga Y. | |
| dc.date | 2009-05-23 | |
| dc.date.accessioned | 2026-07-07T13:17:46Z | |
| dc.date.available | 2026-07-07T13:17:46Z | |
| dc.description | A new class of sign-symmetric matrices is introduced in this paper. Such matrices are named J--sign-symmetric. The spectrum of a J--sign-symmetric irreducible matrix is studied under assumptions that its second compound matrix is also J--sign-symmetric and irreducible. The conditions, when such matrices have complex eigenvalues on the largest spectral circle, are given. The existence of two positive simple eigenvalues $λ_1 > λ_2 > 0$ of a J--sign-symmetric irreducible matrix A is proved under some additional conditions. The question, when the approximation of a J--sign-symmetric matrix with a J--sign-symmetric second compound matrix by strictly J--sign-symmetric matrices with strictly J--sign-symmetric compound matrices is possible, is also studied in this paper. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0905.3799 | |
| dc.identifier | http://arxiv.org/abs/0905.3799 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231224 | |
| dc.subject | Spectral Theory | |
| dc.subject | 15A48; 15A18, 15A75 | |
| dc.title | On spectrum and approximations of one class of sign-symmetric matrices | |
| dc.type | text |