| 二次矩阵方程X~2-bX-C=O的正定解 |
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| 引用本文： | 尤俊丽,廖安平,段雪峰.二次矩阵方程X~2-bX-C=O的正定解[J].大学数学,2012,28(3):101-103. |
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| 作者姓名： | 尤俊丽 廖安平 段雪峰 |
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| 作者单位： | 湖南电子科技职业学院基础课部,长沙,410082 |
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| 摘 要： | 研究二次矩阵方程X2-bX-C=O(b>0,C为n×n阶正定阵)的正定解,证明了解的存在唯一性并且给出了求解方法.
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| 关 键 词： | 二次矩阵方程 正定解 迭代方法 |
The Positive Definite Solution of the Quadratic Matrix Equation X~2-bX-C=O |
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| YOU Jun-li,LIAO An-ping,DUAN Xue-feng.The Positive Definite Solution of the Quadratic Matrix Equation X~2-bX-C=O[J].College Mathematics,2012,28(3):101-103. |
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| Authors: | YOU Jun-li LIAO An-ping DUAN Xue-feng |
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| Institution: | (Department of Fundamental Courses,Hunan Vocation College of Electronic and Technology,Changsha 410082,China) |
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| Abstract: | We study the positive definite solution of the quadratic matrix equation X2-bX-C=O with b>0 and C is an n×n positive definite matrix.We show that there exists a unique positive definite solution to the equation and give the methods for computing the positive definite solution. |
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| Keywords: | the quadratic matrix equation the positive definite solution iterative method |
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