On the Hermitian positive definite solutions of nonlinear matrix equation Xs+∑i=1mAi∗X-tiAi=Q

In this paper, the Hermitian positive definite solutions of nonlinear matrix equation Xs+∑i=1mAi∗X-tiAi=Q are considered, where Q is a Hermitian positive definite matrix, Ai are nonsingular complex matrices, s,m are positive numbers, and 0