On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$
Duanmei Zhou, Guoliang Chen, Guoxing Wu null, Xiangyun Zhang · Journal of Computational Mathematics · 2013
This work is concerned with the nonlinear matrix equation X s + A * F (X)A = Q with s ≥ 1.Several sufficient and necessary conditions for the existence and uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.