Helmke, U; Rosenthal, J (1995). Eigenvalue inequalities and Schubert calculus. Mathematische Nachrichten, 171:207-225.
Using techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matrices A1 , . . . , Ar ∈ C n×n with the spectrum of the sum A1 + · · · + Ar . These extend eigenvalue inequalities due to Freede-Thompson and Horn for sums of eigenvalues of two Hermitian matrices.
Using techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matrices A1 , . . . , Ar ∈ C n×n with the spectrum of the sum A1 + · · · + Ar . These extend eigenvalue inequalities due to Freede-Thompson and Horn for sums of eigenvalues of two Hermitian matrices.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | General Mathematics |
| Language: | English |
| Date: | 1995 |
| Deposited On: | 19 Mar 2010 07:36 |
| Last Modified: | 23 Jan 2022 14:44 |
| Publisher: | Wiley-Blackwell Publishing, Inc. |
| ISSN: | 0025-584X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1002/mana.19951710113 |
| Related URLs: | http://www.math.uzh.ch/fileadmin/user/rosen/publikation/he95.pdf (Author) |
Helmke, U