Geometric proofs of some theorems of Schur-Horn type

Authors
Leite, RS Richa, TRW Tomei, C
Citation
Rs. Leite et al., Geometric proofs of some theorems of Schur-Horn type, LIN ALG APP, 286(1-3), 1999, pp. 149-173
Citations number
16
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
286
Issue
1-3
Year of publication
1999
Pages
149 - 173
Database
ISI
SICI code
0024-3795(19990101)286:1-3<149:GPOSTO>2.0.ZU;2-B
Abstract
We describe elementary, geometric proofs of the classical Schur-Horn theore m for symmetric matrices and analogous results for skew-symmetric matrices, in the real and complex cases. We compare this approach to the proofs obta ined by making use of symplectic techniques. As a further application, we p resent a new proof of Horn's characterization of diagonal entries of orthog onal matrices. (C) 1999 Elsevier Science Inc. All rights reserved.