On the Hermitian Positive Definite Solutions of the Nonlinear Matrix Equation X^s -A^＊X^-tA = Q wit

• 作 者: Jing CAI
• 机 构: SchoolofScience
• 出 处: 数学研究及应用：英文版
• 发表日期: 2013年6期
• 关键词: HERMITE正定解 非线性矩阵方程 扰动估计 埃尔米特 解的存在性 正定矩阵 条件方程 正整数 matrix equation Hermitian posit
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 11071079） and the Natural Science Foundation of Zhejiang Province （Grant No. Y6110043）.

In this paper,the Hermitian positive definite solutions of the nonlinear matrix equation Xs A X tA = Q are studied,where Q is a Hermitian positive definite matrix,s and t are positive integers.The existence of a Hermitian positive definite solution is pro