| Title:
|
On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices (English) |
| Author:
|
Merikoski, Jorma Kaarlo |
| Author:
|
Virtanen, Ari |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
193-198 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A18 |
| MSC:
|
15A42 |
| MSC:
|
15A57 |
| idZBL:
|
Zbl 0779.15002 |
| idMR:
|
MR1179491 |
| DOI:
|
10.21136/CMJ.1992.128332 |
| . |
| Date available:
|
2009-09-24T09:19:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128332 |
| . |
| Reference:
|
[1] S. Drury: A counterexample to a question of Merikoski and Viгtanen on the compounds of matrices.Linear Algebra Appl., to appear. |
| Reference:
|
[2] M. Fiedler: Bounds for the determinant of the sum of Hermitian matrices.Proc. Amer. Math. Ѕoc. 30:27-31 (1971). Zbl 0277.15010, MR 0286814 |
| Reference:
|
[Зl A. Horn: Doubly stochastic matrices and the diagonal of a rotation matrix.Аmer. J. Math. 76: 620-630(1954). MR 0063336 |
| Reference:
|
[4] M. Marcus: Deгivations, Plücker relations, and the numerical range.Indiana Univ. Math. J. 22: 1137-1149 (1973). MR 0314862 |
| Reference:
|
[5l M. Marcus, M. Sandy: Vertex points in the numerical range of a derivation.Lineaг and Multilinear Аlgebra 21 : 385-394 (1987). MR 0928750 |
| Reference:
|
[6] J. K. Merikoski, A. Virtanen: Ѕome notes on de Oliveira's determinantal conjecture.Linear Аlgebra Аppl. 127 : 345-352 (1989). MR 1011745 |
| Reference:
|
[7] G. N. de Oliveira: Research problem: Normal matrices.Linear and Multilinear Аlgebra 72: 153-154(1982). |
| . |
