矩阵方程X+A^(*)X^(-2)A=I极大解的扰动分析  

Perturbation analysis of the maximal solution of the Matrix equations X+A^(*)X^(-2)A=I

作　　者：马伟[1] 高景利[1] MA Wei;GAO Jingli(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China)

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《南阳师范学院学报》2021年第4期18-21,共4页Journal of Nanyang Normal University

基　　金：河南省基础与前沿技术研究计划项目(142300410385);南阳师范学院博士专项项目(ZX2014078)。

摘　　要：考虑非线性矩阵方程X+A^(*)X^(-2)A=I,其中A是n阶复矩阵,I是n阶单位矩阵.通过初等微积分推导出此方程极大解的新扰动界,并给出数值例子对所得结果与已有结果进行比较说明.In this paper,the nonlinear matrix equations X+A^(*)X^(-2)A=I is discussed,where A is an n×n complex matrix and I is an n×n identity matrix.Besides,a new perturbation bound for maximal solution of this equation is derived by elementary calculus.Meanwhile,a numerical example is given to compare the obtained results with the existing ones.

关 键 词：非线性矩阵方程 HERMITE正定解 扰动界 

分 类 号：O151.21[理学—数学]