Commutativity and spectra of Hermitian matrices

29Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

If two Hermitian matrices commute, then the eigenvalues of their sum are just the sums of the eigenvalues of the two matrices in a suitable order. Examples show that the converse is not true in general. In this paper, partial converses are obtained. The technique involves a characterization of the equality cases for Weyl's inequalities. Moreover, a new proof on the commutativity of two Hermitian matrices with property L and analogous results for the product of two positive definite Hermitian matrices are included. © 1994.

Cite

CITATION STYLE

APA

So, W. (1994). Commutativity and spectra of Hermitian matrices. Linear Algebra and Its Applications, 212213(C), 121–129. https://doi.org/10.1016/0024-3795(94)90399-9

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free