Geodesic
An eigenvalue inequality and spectrum localization for complex matrices
The electronic journal of linear algebra, Tome 15 (2006), pp. 239-250.

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

Summary: Using the notions of the numerical range, Schur complement and unitary equivalence, an eigenvalue inequality is obtained for a general complex matrix, giving rise to a region in the complex plane that contains its spectrum. This region is determined by a curve, generalizing and improving classical eigenvalue bounds obtained by the Hermitian and skew-Hermitian parts, as well as the numerical range of a matrix.
Classification : 15A18, 15A60
Keywords: eigenvalues, inclusion regions, numerical range, Hermitian part 
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     title = {An eigenvalue inequality and spectrum localization for complex matrices},
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Adam, Maria; Tsatsomeros, Michael J. An eigenvalue inequality and spectrum localization for complex matrices. The electronic journal of linear algebra, Tome 15 (2006), pp. 239-250. http://geodesic.mathdoc.fr/item/ELA_2006__15__a9/