Geodesic
On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices
Czechoslovak Mathematical Journal, Tome 42 (1992) no. 2, pp. 193-198
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1992.128332
Classification : 15A18, 15A42, 15A57 
@article{10_21136_CMJ_1992_128332,
     author = {Merikoski, Jorma Kaarlo and Virtanen, Ari},
     title = {On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {193--198},
     year = {1992},
     volume = {42},
     number = {2},
     doi = {10.21136/CMJ.1992.128332},
     mrnumber = {1179491},
     zbl = {0779.15002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128332/}
}
TY  - JOUR
AU  - Merikoski, Jorma Kaarlo
AU  - Virtanen, Ari
TI  - On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices
JO  - Czechoslovak Mathematical Journal
PY  - 1992
SP  - 193
EP  - 198
VL  - 42
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128332/
DO  - 10.21136/CMJ.1992.128332
LA  - en
ID  - 10_21136_CMJ_1992_128332
ER  - 
%0 Journal Article
%A Merikoski, Jorma Kaarlo
%A Virtanen, Ari
%T On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices
%J Czechoslovak Mathematical Journal
%D 1992
%P 193-198
%V 42
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128332/
%R 10.21136/CMJ.1992.128332
%G en
%F 10_21136_CMJ_1992_128332
Merikoski, Jorma Kaarlo; Virtanen, Ari. On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices. Czechoslovak Mathematical Journal, Tome 42 (1992) no. 2, pp. 193-198. doi: 10.21136/CMJ.1992.128332

[1] S. Drury: A counterexample to a question of Merikoski and Viгtanen on the compounds of matrices. Linear Algebra Appl., to appear.

[2] M. Fiedler: Bounds for the determinant of the sum of Hermitian matrices. Proc. Amer. Math. Ѕoc. 30:27-31 (1971). | MR | Zbl

[Зl A. Horn: Doubly stochastic matrices and the diagonal of a rotation matrix. Аmer. J. Math. 76: 620-630(1954). | MR

[4] M. Marcus: Deгivations, Plücker relations, and the numerical range. Indiana Univ. Math. J. 22: 1137-1149 (1973). | MR

[5l M. Marcus, M. Sandy: Vertex points in the numerical range of a derivation. Lineaг and Multilinear Аlgebra 21 : 385-394 (1987). | MR

[6] J. K. Merikoski, A. Virtanen: Ѕome notes on de Oliveira's determinantal conjecture. Linear Аlgebra Аppl. 127 : 345-352 (1989). | MR

[7] G. N. de Oliveira: Research problem: Normal matrices. Linear and Multilinear Аlgebra 72: 153-154(1982).

Cité par Sources :