| 一类矩阵方程的算法研究 |
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| 引用本文： | 崔晓梅,许洁.一类矩阵方程的算法研究[J].吉林化工学院学报,2014,31(11):85-86. |
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| 作者姓名： | 崔晓梅 许洁 |
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| 作者单位： | 吉林化工学院理学院,吉林吉林,132022 |
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| 摘 要： | 研究了矩阵方程X+A*X-1A+B*X-tB=I的正定解,通过构造单调有界迭代序列求得方程正定解.提出的新算法收敛速度有所提高.并通过算例进行算法比较.
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| 关 键 词： | 矩阵方程 正定解 迭代方法 |
A Study of Algorithms for a Class of Matrix Equation |
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| CUI Xiao-mei
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XU Jie.A Study of Algorithms for a Class of Matrix Equation[J].Journal of Jilin Institute of Chemical Technology,2014,31(11):85-86. |
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| Authors: | CUI Xiao-mei XU Jie |
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| Affiliation: | CUI Xiao-mei;XU Jie;Faculty of Science,Jilin Institute of Chemical Technology; |
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| Abstract: | The positive definite solution of the matrix equation was investigated in this paper. The definite solution was obtained by constructing monotone bounded iterative sequences. The new algorithm has improved convergence speed. Algorithms were compared by a numerical example. |
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| Keywords: | matrix equation positive definite solutions iterative consequences |
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