Geodesic
Block normal matrices and gershgorin-type discs
The electronic journal of linear algebra, Tome 22 (2011), pp. 1059-1069.

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

Summary: The block analogues of the theorems on inclusion regions for the eigenvalues of normal matrices are given. By an inclusion region for a given matrix A we mean a region of the complex plane that contains at least one of the eigenvalues of A. Some nonsingularity results for partitioned matrices are also presented.
Classification : 15A12, 15A18
Keywords: normal matrices, block matrices, eigenvalues, gershgorin's discs, nonsingular matrices, Hermitian positive definite matrices, strong square-sum criterion 
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     title = {Block normal matrices and gershgorin-type discs},
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Kierzkowski, Jakub; Smoktunowicz, Alicja. Block normal matrices and gershgorin-type discs. The electronic journal of linear algebra, Tome 22 (2011), pp. 1059-1069. http://geodesic.mathdoc.fr/item/ELA_2011__22__a8/