Authors
Citation
U. Helmke et J. Rosenthal, EIGENVALUE INEQUALITIES AND SCHUBERT CALCULUS, Mathematische Nachrichten, 171, 1995, pp. 207-225
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
0025584X
Volume
171
Year of publication
1995
Pages
207 - 225
Database
ISI
SICI code
0025-584X(1995)171:<207:EIASC>2.0.ZU;2-5
Abstract
Using techniques from algebraic topology we derive linear inequalities
which relate the spectrum of a set of Hermitian matrices A1, ..., A(r
) is-an-element-of C(nxn) with the spectrum of the sum A1 + ... + A(r)
. These extend eigenvalue inequalities due to Freede-Thompson and Horn
for sums of eigenvalues of two Hermitian matrices.