Geodesic
The external vertices conjecture in case $n=4$
The electronic journal of linear algebra, Tome 11 (2004), pp. 180-191.

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

Summary: The determinantal conjecture of M. Marcus and G. N. de Oliveira is known in many special cases. The case of 3 * 3 matrices was settled by N. Bebiano, J. K. Merikoski and J. da Provid^encia. The case n = 4 remains open. In this article a technical conjecture is established implying a weakened form of the determinantal conjecture for n = 4.
Classification : 15A15, 15A57
Keywords: normal matrix, unitary matrix, determinant 
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     author = {Drury, S.W.},
     title = {The external vertices conjecture in case $n=4$},
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     year = {2004},
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Drury, S.W. The external vertices conjecture in case $n=4$. The electronic journal of linear algebra, Tome 11 (2004), pp. 180-191. http://geodesic.mathdoc.fr/item/ELA_2004__11__a7/