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矩阵方程X+A_1~*X^(-1)A_1+A_2~*X^(-1)A_2=I的Hermite正定解 被引量:1

The Hermitian Positive Definite Solution of the Matrix Equation
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摘要 研究非线性矩阵方程有正定解的条件,给出了一个求Hermite正定解的算法.数值例子说明算法是可行有效的. Some necessary or sufficient conditions for the existence of a positive definite solution of the matrix equation are obtained. Based on them, an iterative algorithm to find the positive definite solution is given. Numerical example is reported to illustrate the effectiveness of the algorithm.
出处 《赣南师范学院学报》 2009年第6期10-12,共3页 Journal of Gannan Teachers' College(Social Science(2))
基金 高校博士点基金(20060532014) 福建省自然科学基金(2009J05001) 福建工程学院院基金(E0600073 GY-Z0893)
关键词 非线性矩阵方程 正定解 算法 nonlinear matrix equation positive definite solution algorithm
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