| 矩阵方程X-A*X-2A=E的Hermite正定解 |
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| 引用本文： | 钱爱林.矩阵方程X-A*X-2A=E的Hermite正定解[J].咸宁学院学报,2005,25(6):12-14. |
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| 作者姓名： | 钱爱林 |
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| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437005 |
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| 摘 要： | 通过构造两个迭代公式求出了矩阵方程X—A^＊X^-2A=E的正定解，并且给出了方程存在正定解的充分条件．
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| 关 键 词： | 非线性矩阵方程 LU分解 正定解 |
| 文章编号： | 1006-5342（2005）06-0012-03 |
| 收稿时间： | 06 16 2005 12:00AM |
| 修稿时间： | 2005-06-16 |
The Hermitian Positive Definite Solutions of Matrix Equation X- A*X-2 A= E |
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| QIAN Ai-lin.The Hermitian Positive Definite Solutions of Matrix Equation X- A*X-2 A= E[J].Journal of Xianning College,2005,25(6):12-14. |
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| Authors: | QIAN Ai-lin |
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| Institution: | Department of Mathematics, Xianning College, Xianning 437005, China |
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| Abstract: | In this paper, we construct two iterative methods for obtaining hermitian positive definite solutions of matrix equation X -A*X-2A =E, sufficient conditions for existence of solutions of this equation are given. |
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| Keywords: | Nonlinear matrix equation LU - decompositions Positive definite solution |
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