| 一类约束矩阵方程的迭代解法 |
| |
| 引用本文： | 汤赛,周富照.一类约束矩阵方程的迭代解法[J].吉首大学学报(自然科学版),2010,31(5):29-33. |
| |
| 作者姓名： | 汤赛 周富照 |
| |
| 作者单位： | （长沙理工大学数学与计算科学学院，湖南 长沙 410076） |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 对次对称和次反对称矩阵约束下一类矩阵方程的迭代解法进行了讨论，利用次对称矩阵和次反对称矩阵的结构和性质，分别构造了迭代算法，并用矩阵范数的性质和拉直算子证明了迭代算法的有限步收敛性，从而得到了矩阵方程的极小范数解和最佳逼近解.
|
| 关 键 词： | 约束矩阵方程 迭代解法 极小范数解 最佳逼近解 次对称矩阵 |
Iterative Methods of a Kind of Constrained Matrix Equations |
| |
| TANG Sai,ZHOU Fu-zhao.Iterative Methods of a Kind of Constrained Matrix Equations[J].Journal of Jishou University(Natural Science Edition),2010,31(5):29-33. |
| |
| Authors: | TANG Sai ZHOU Fu-zhao |
| |
| Institution: | (College of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha 410076,China) |
| |
| Abstract: | The iterative methods of the matrix equations constrained by skew-symmetric matrices and skew-anti-symmetric matrices are studied.The iterative methods are constructed and its limited convergence is proved by means of the properties of matrix＇s norm and straighten operator and by using their structures and properties.Therefore,the least-norm solution and optimal approximation solution of the matrix equations are obtained. |
| |
| Keywords: | constrained matrix equation iterative method least-norm solution optimal approximation solution skew-symmetric matrix |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《吉首大学学报(自然科学版)》下载免费的PDF全文 |
