%0 Journal Article
%T Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices
%A Eric A. Carlen
%A Elliott H. Lieb
%J Mathematics
%D 2009
%I arXiv
%X A theorem of Mirsky provides necessary and sufficient conditions for the existence of an N-square complex matrix with prescribed diagonal entries and prescribed eigenvalues. We give a simple inductive proof of this theorem.
%U http://arxiv.org/abs/0904.0734v3