ELA
A. HORN’S RESULT ON MATRICES WITH PRESCRIBED
SINGULAR VALUES AND EIGENVALUES
∗TIN-YAU TAM†
Abstract. We give a new proof of a classical result of A. Horn on the existence of a matrix with prescribed singular values and eigenvalues.
Key words. Eigenvalues, singular values.
AMS subject classifications.15A45, 15A18.
∗Received by the editors on June 10, 2009. Accepted for publication on July 31, 2010. Handling
Editors: Roger A. Horn and Fuzhen Zhang.
†Department of Mathematics and Statistics, Auburn University, AL 36849–5310, USA
(tamtiny@auburn.edu).
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 21, pp. 25-27, October 2010