TY - JOUR
T1 - Estimation of the Separation of Two Matrices
AU - Ji-Guang Sun
JO - Journal of Computational Mathematics
VL - 3
SP - 189
EP - 200
PY - 1984
DA - 1984/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9653.html
KW - 
AB - <p style="text-align: justify;">The estimation of the solution to the matrix equation AX-XB=C is primarily dependent on the quantity sep(A,B) introduced by Stewart. Varah has given some examples to show that $sep_F(A,B)$ can be very small even though the eigenvalues of A and B are well separated. In this paper we give some lower bounds of $sep_F(A,B)$.</p>