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
(foth@math.arizona.edu).
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 20, pp. 115-125, February 2010