The eigenvalues of the sum of matrices with prescribed invariant polynomials*
Fernando C. Silva · Linear and Multilinear Algebra · 1987
Let A and B be n×n matrices over a field F, and c 1,…,cn ∈F. We give a sufficient condition for the existence of matrices A' and B' similar to A and B, respectively, such that A' + B' has eigenvalues c 1,…,cn .