On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices

Jorma Kaarlo Merikoski; Ari Virtanen

Czechoslovak Mathematical Journal (1992)

  • Volume: 42, Issue: 2, page 193-198
  • ISSN: 0011-4642

How to cite

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Merikoski, Jorma Kaarlo, and Virtanen, Ari. "On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices." Czechoslovak Mathematical Journal 42.2 (1992): 193-198. <http://eudml.org/doc/31279>.

@article{Merikoski1992,
author = {Merikoski, Jorma Kaarlo, Virtanen, Ari},
journal = {Czechoslovak Mathematical Journal},
keywords = {normal matrices; elementary symmetric functions; eigenvalues; convex hull; sums; products; inclusion region},
language = {eng},
number = {2},
pages = {193-198},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices},
url = {http://eudml.org/doc/31279},
volume = {42},
year = {1992},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 2
SP - 193
EP - 198
LA - eng
KW - normal matrices; elementary symmetric functions; eigenvalues; convex hull; sums; products; inclusion region
UR - http://eudml.org/doc/31279
ER -

References

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  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). (1971) Zbl0277.15010MR0286814
  3. [Зl A. Horn, Doubly stochastic matrices and the diagonal of a rotation matrix, Аmer. J. Math. 76: 620-630(1954). (1954) MR0063336
  4. M. Marcus, Deгivations, Plücker relations, and the numerical range, Indiana Univ. Math. J. 22: 1137-1149 (1973). (1973) MR0314862
  5. [5l M. Marcus, M. Sandy, Vertex points in the numerical range of a derivation, Lineaг and Multilinear Аlgebra 21 : 385-394 (1987). (1987) MR0928750
  6. J. K. Merikoski, A. Virtanen, Ѕome notes on de Oliveira's determinantal conjecture, Linear Аlgebra Аppl. 127 : 345-352 (1989). (1989) MR1011745
  7. G. N. de Oliveira, Research problem: Normal matrices, Linear and Multilinear Аlgebra 72: 153-154(1982). (1982) 

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