| 矩阵方程X+A~*X~(-n)A=I的正定解 |
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| 引用本文： | 谭洁.矩阵方程X+A~*X~(-n)A=I的正定解[J].怀化学院学报,2009,28(5). |
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| 作者姓名： | 谭洁 |
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| 作者单位： | 湖南机电职业技术学院,湖南,长沙,410151 |
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| 摘 要： | 讨论了矩阵方程X+A*X-nA=I在A为正定矩阵和酉矩阵时的正定解的存在性、唯一性、误差估计及存在正定解的必要条件,并且构造了数值求解的迭代方法.
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| 关 键 词： | 矩阵方程 正定解 迭代方法 |
A Positive Definite Solution for Matrix Equation X+A*X-nA=I |
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| TAN Jie.A Positive Definite Solution for Matrix Equation X+A*X-nA=I[J].Journal of Huaihua University,2009,28(5). |
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| Authors: | TAN Jie |
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| Abstract: | This paper discusses the existence,uniqueness,error estimation of positive definite solution and necessary condition for the existence of positive definite solution,while A being the positive definite matrix and unitary matrix in the matrix equation X+A*X-nA=I.It also constructs the iterative method of numerical value solution. |
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| Keywords: | matrix equation positive definite solution iterative method |
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