TY - JOUR
T1 - On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$
AU - Duanmei Zhou, Guoliang Chen, Guoxing Wu & Xiangyun Zhang
JO - Journal of Computational Mathematics
VL - 2
SP - 209
EP - 220
PY - 2013
DA - 2013/04
SN - 31
DO - http://doi.org/10.4208/jcm.1210-m4082
UR - https://global-sci.org/intro/article_detail/jcm/9730.html
KW - Nonlinear matrix equations, Perturbation bound, Hermitian positive definite solution.
AB - <p style="text-align: justify;">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 &nbsp;uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.</p>