| 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].湖南大学学报(自然科学版),2007,34(9):78-81. |
| |
| 作者姓名： | 彭卓华 胡锡炎 张磊 |
| |
| 作者单位： | 1. 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
2. 湖南大学,数学与计量经济学院,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 |
| 文章编号： | 1000-2472（2007）09-0078-04 |
| 修稿时间： | 2006-12-14 |
The Least Squares Bisymmetric Solution of a Class of Matrix Equation and Its Optimal Approximation |
| |
| 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 University(Naturnal Science),2007,34(9):78-81. |
| |
| Authors: | PENG Zhuo-hu HU Xi-yan ZHANG Lei |
| |
| Institution: | 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 that the iterative method is efficient. |
| |
| Keywords: | algorithm gradient matrix bisymmetric solution leastnorm solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《湖南大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《湖南大学学报(自然科学版)》下载免费的PDF全文 |
|
