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ELA

EIGENVALUES OF SUMS OF PSEUDO-HERMITIAN MATRICES

∗

PHILIP FOTH†

Abstract. We study analogues of classical inequalities for the eigenvalues of sums of Hermitian matrices for the cone of admissible elements in the pseudo-Hermitian case. In particular, we obtain analogues of the Lidskii-Wielandt inequalities.

Key words. Eigenvalue, Pseudo-Hermitian, Admissible, Convexity.

AMS subject classifications.15A42, 15B57.

∗Received by the editors February 25, 2009. Accepted for publication February 12, 2010. Handling

Editor: Shmuel Friedland.

†Department of Mathematics, University of Arizona, Tucson, AZ 85721-0089, USA

([email protected]).

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 20, pp. 115-125, February 2010

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