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非线性矩阵方程X+A~*X^(-α)A+B~*X^(-β)B=Q的Hermitian正定解

Ermitian Positive Definite Solutions of the Nonlinear Matrix Equation X+A~*X^(-α)A+B~*X^(-β)B=Q
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摘要 基于非线性矩阵方程重要的应用背景,结合其已有的一系列研究成果,本文研究了非线性矩阵方程X+A* X-α A+B* X-β B=Q的正定解及迭代方法,并分析了迭代法的收敛性. Based on its value in practical application, and consider some early resuhs of this issue, we investigate the positive definite solution and iterative method of the equation in this paper, and discuss the convergence of the it erative methods.
作者 李丽娜
出处 《吉林化工学院学报》 CAS 2013年第5期108-113,共6页 Journal of Jilin Institute of Chemical Technology
关键词 非线性矩阵方程 正定解 迭代法 nonlinear matrix equation positive definite solution iterative method
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