On the numerical analtsys of generated sylvester equations
Laurence Grammont · Numerical Functional Analysis and Optimization · 1994
The sensivtiity of the solution of the matrix Sylvester equation AX-XB=C is considered in the context of the classical perturbation theory. Our purpose is to find the most influent parameters in the sensitivity of the solution under perturbations in the data, and to compare the theoretical error bounds with numerical evidence.