Published in:
American Journal of Mathematics, 127 (2005) 1, Seite 101-127
Language:
English
ISSN:
0002-9327;
1080-6377
Origination:
Footnote:
Description:
<p>We characterize the relationship between the singular values of a Hermitian (resp., real symmetric, complex symmetric) matrix and the singular values of its off-diagonal block. We also characterize the eigenvalues of a Hermitian (or real symmetric) matrix C = A + B in terms of the combined list of eigenvalues of A and B. The answers are given by Horn-type linear inequalities. The proofs depend on a new inequality among Littlewood-Richardson coefficients.</p>