Authors
Citation
N. Bebiano et al., THE VALIDITY OF THE MARCUS-DEOLIVEIRA CONJECTURE FOR ESSENTIALLY HERMITIAN MATRICES, Linear algebra and its applications, 198, 1994, pp. 411-427
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00243795
Volume
198
Year of publication
1994
Pages
411 - 427
Database
ISI
SICI code
0024-3795(1994)198:<411:TVOTMC>2.0.ZU;2-O
Abstract
Let X, Y be matrices of spectra x1,..., x(n) and y1,..., y(n), respect
ively. For a wide class of pairs of essentially Hermitian matrices X,
Y, we prove that the determinant of X + Y belongs to the convex hull o
f the n! points PI(i=1)n(x(i) + y(sigmai)) (sigma is-an-element-of S(n
)).