| 矩阵方程X+A~*X~(-n)A=Q的正定解的性质 |
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| 引用本文： | 张乃千.矩阵方程X+A~*X~(-n)A=Q的正定解的性质[J].潍坊学院学报,2008,8(6). |
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| 作者姓名： | 张乃千 |
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| 作者单位： | 潍坊学院,山东,潍坊,261061 |
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| 摘 要： | 研究非线性矩阵方程X＋A^＊X^-nA=Q的Hermite正定解的性质。选取两种不同的迭代方法给出矩阵方程的解存在的充分条件。
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| 关 键 词： | 非线性矩阵方程 正定解 迭代方法 |
Properties of Positive Definite Solutions of Matrix Equations X+A~*X~(-n)A=Q |
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| ZHANG Nai-qian.Properties of Positive Definite Solutions of Matrix Equations X+A~*X~(-n)A=Q[J].Journal of Weifang University,2008,8(6). |
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| Authors: | ZHANG Nai-qian |
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| Institution: | ZHANG Nai-qian(Weifang University,Weifang 261061,China) |
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| Abstract: | In this paper,some properties of a positive solution of the nonlinear matrix equation X+A*X-nA=Q are discussed.Two methods for iterative computing a positive solution is investigated.Sufficient conditions for the existence of positive definite solutions for these equations are derived. |
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| Keywords: | nonlinear matrix equation positive definite solution iterative method |
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