TY - JOUR
T1 - Estimation of the Separation of Two Matrices (Ⅱ)
AU - Ji-Guang Sun
JO - Journal of Computational Mathematics
VL - 1
SP - 19
EP - 26
PY - 1985
DA - 1985/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9603.html
KW - 
AB - <p style="text-align: justify;">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 $\delta_F(B)$.&nbsp;</p>