@Article{JCM-31-209, author = {}, title = {On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {2}, pages = {209--220}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1210-m4082}, url = {http://global-sci.org/intro/article_detail/jcm/9730.html} }