Eigenvalues of the sum of two matrices - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T20:58:20Z http://mathoverflow.net/feeds/question/90861 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/90861/eigenvalues-of-the-sum-of-two-matrices Eigenvalues of the sum of two matrices Michele 2012-03-11T01:18:24Z 2012-03-11T09:10:12Z <p>Hello, I know that given two matrices A and B, estimating the eigenvalues of A + B = C as a function of the eigenvalues of A and of the eigenvalues of B is generally a non-easy problem. I was wondering if the solution is known in the case where A is symmetric and B is diagonal. </p> <p>Thanks!</p>