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%Chi-Kwong","ckli@math.wm.edu","
\section{Eigenvalues of the sum of matrices \\ from  unitary similarity orbits} By {\sl Chi-Kwong Li, Yiu-Tung poon and Nung-Sing Sze.}  

\medskip  \noindent Let $A$ and $B$ be $n\times n$ complex matrices. Characterization is given for the set ${\cal E}(A,B)$ of eigenvalues of  matrices of the form $U^*AU+V^*BV$ for some unitary matrices $U$ and $V$. Consequences of the results are discussed and computer algorithms and programs are designed to generate the set ${\cal E}(A,B)$. The results refine those of Wielandt on normal matrices. Extensions of the results to the sum of matrices from three or more   unitary similarity orbits are also considered.
%Eigenvalues, sum of matrices,","15A18","","This is a talk for the mini-symposium: Eigenproblems: Theory and Computation","19:35:37","Wed Mar 26 2008","70.186.195.115"
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