| 求一类矩阵方程组的最小二乘行对称解及其最佳逼近的迭代法 |
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| 引用本文： | 胡荣,张磊.求一类矩阵方程组的最小二乘行对称解及其最佳逼近的迭代法[J].数学理论与应用,2010(4):118-121. |
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| 作者姓名： | 胡荣 张磊 |
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| 作者单位： | 湖南大学,长沙410082 |
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| 基金项目： | 国家自然科学基金资助项目（No.10571047）资助 |
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| 摘 要： | 本文构造了求矩阵方程组AX=B,XC=D的最小二乘行对称解及其最佳逼近的迭代法,研究了迭代序列的性质,证明了算法的收敛性。
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| 关 键 词： | 迭代法 梯度矩阵 行对称解 |
An Iterative Method for the Least Squares Row Symmetric Solution of a Class of the Matrix Equations and Its Optimal Approximation |
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| Hu Rong Zhang Lei.An Iterative Method for the Least Squares Row Symmetric Solution of a Class of the Matrix Equations and Its Optimal Approximation[J].Mathematical Theory and Applications,2010(4):118-121. |
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| Authors: | Hu Rong Zhang Lei |
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| Institution: | Hu Rong Zhang Lei(Hunan University,Changsha,410082) |
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| Abstract: | In this paper,an algorithm is constructed to solve the least squares row symmetric solution of the matrix equations AX=B,XC=D and its optimal approximation.Some properties of the iterative sequence have been derived,and the method has been shown to preserve convergence properties. |
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| Keywords: | Algorithm Gradient matrix Row symmetric solution |
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