Bounds for absolute values and imaginary parts of matrix eigenvalues via traces
Author
Gil', Michael
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/534910.22199/issn.0717-6279-5349
Abstract
Let λ1(A), λ2(A), ..., λn(A) be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for |λj (A) − trace(A)/ n | and |Im λj (A) − Im trace(A)/n | (j = 1, ..., n), which refine the previously published results.