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| 一类矩阵方程的最小二乘双对称解及其最佳逼近 | |
| 引用本文： | 彭卓华,胡锡炎,张磊. 一类矩阵方程的最小二乘双对称解及其最佳逼近[J]. 湖南农业大学学报(自然科学版), 2007, 34(9) |
| 作者姓名： | 彭卓华 胡锡炎 张磊 |
| 作者单位： | 湖南大学数学与计量经济学院，湖南大学数学与计量经济学院，湖南大学数学与计量经济学院 湖南长沙410082，湖南科技大学数学与计算科学学院，湖南湘潭411201，湖南长沙410082，湖南长沙410082 |
| 基金项目： | 国家自然科学基金 , 湖南省教育厅资助项目 |
| 摘 要： | 构造了一种迭代法求一类矩阵方程的最小二乘双对称解.研究了迭代序列的若干性质,证明了算法的收敛性.数值算例表明,这种迭代法是有效的. |
| 关 键 词： | 迭代法 梯度矩阵 双对称解 最小范数解 |
The Least Squares Bisymmetric Solution of a Class of Matrix Equation and Its Optimal Approximation |
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| PENG Zhuo-hu,HU Xi-yan,ZHANG Lei. The Least Squares Bisymmetric Solution of a Class of Matrix Equation and Its Optimal Approximation[J]. Journal of Hunan Agricultural University, 2007, 34(9) | |
| Authors: | PENG Zhuo-hu HU Xi-yan ZHANG Lei |
| Affiliation: | 1. College of Mathematics and Econometrics, Hunan Univ,Changsha,Hunan 410082,China; 2. College of Mathematics and Computing Science, Hunan Univ of Science and Technology, Xiangtan, Hunan 411201, China |
| Abstract: | An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.Some properties of the iterative sequence have been derived,and the method has been shown to preserve convergence properties.Numerical examples show |
| Keywords: | algorithm gradient matrix bisymmetric solution leastnorm solution |
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