@Article{JCM-3-19, author = {}, title = {Estimation of the Separation of Two Matrices (Ⅱ)}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {1}, pages = {19--26}, abstract = {

In this paper we give a lower bound of the separation $sep_F(A,B)$ of two diagonalizable matrices A and B. The key to finding the lower bound of $sep_F(A,B)$ is to find an upper bound for the condition number of a transformation matrix Q which transforms a diagonalizable matrix A to a diagonal form. The obtained lower bound of $sep_F(A,B)$ involves the eigenvalues of A and B as well as the departures form the normality $\delta_F(A)$ and $\delta_F(B)$. 

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9603.html} }