Geodesic
Essentially Hermitian matrices revisited
The electronic journal of linear algebra, Tome 15 (2006), pp. 285-296.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The following case of the Determinantal Conjecture of Marcus and de Oliveira is established. Let A and C be hermitian n * n matrices with prescribed eigenvalues a1, . . . , an and c1, . . . , cn, respectively. Let ^ be a non-real unimodular complex number, B = ^C, bj = ^cj for j = 1, . . . , n. Then $det(A - B) 2$ co 8! : nY j=1 (aj - $boe(j))$; oe 2 Sn 9= ; , where Sn denotes the group of all permutations of ${1, . . . , n}$ and co the convex hull taken in the complex plane. 
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     author = {Drury, S.W.},
     title = {Essentially {Hermitian} matrices revisited},
     journal = {The electronic journal of linear algebra},
     pages = {285--296},
     publisher = {mathdoc},
     volume = {15},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2006__15__a4/}
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Drury, S.W. Essentially Hermitian matrices revisited. The electronic journal of linear algebra, Tome 15 (2006), pp. 285-296. http://geodesic.mathdoc.fr/item/ELA_2006__15__a4/