User jason spoon - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T08:42:31Z http://mathoverflow.net/feeds/user/30958 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120014/eigenvalues-of-a-diagonal-matrix-times-a-matrix eigenvalues of a diagonal matrix times a matrix Jason Spoon 2013-01-27T11:36:07Z 2013-01-27T22:50:17Z <p>Suppose we are multiplying matrix $A$ with a diagonal matrix $D$ from left, i.e.,</p> <p>$X=D A$</p> <p>where $D$ is a diagonal matrix with elements </p> <p>$$d_{ii}=\frac{1}{2} \text{ for } i=1,n$$</p> <p>$$d_{ii}=\frac{1}{3} \text{ for } i =2, \dots, n-1.$$</p> <p>Is there any relation with the set of eigenvalues of $X$ and $A$ (like any lower bounds on the eigenvalues)?</p>