Condition numbers and backward perturbation bound for linear matrix equations
Xingdong Yang, Hua Dai, Qing-quan He · Numerical Linear Algebra with Applications · 2010
This paper deals with the normwise perturbation theory for linear (Hermitian) matrix equations. The definition of condition number for the linear (Hermitian) matrix equations is presented. The lower and upper bounds for the condition number are derived. The estimation for the optimal backward perturbation bound for the Hermitian matrix equations is obtained. Copyright © 2010 John Wiley & Sons, Ltd.