| 高阶DLMS型方法求解线性方程组 |
| |
| 引用本文： | 李志斌,王超,李伟,王爱齐.高阶DLMS型方法求解线性方程组[J].大连铁道学院学报,2005,26(4):4-6. |
| |
| 作者姓名： | 李志斌 王超 李伟 王爱齐 |
| |
| 作者单位： | 大连交通大学数理系,辽宁大连116028 |
| |
| 摘 要： | 结合动态系统参数识别算法（LMS）和高阶两参数并行Jacobi型算法的优点，得到一种称之为高阶DLMS方法．该方法避免传统迭代方法求解线性方程组时使用逆矩阵参与迭代矩阵的构造，避免了矩阵求逆；同时对传统线性方程组要求系数矩阵必须为方阵加以推广，具有适用范围广、计算量少等优点．同时并讨论了算法的收敛性和最优参数的选取．
|
| 关 键 词： | 线性代数方程组 DLMS型方法 迭代法 收敛 最优参数 |
| 文章编号： | 1000-1670（2005）04-0004-03 |
| 收稿时间： | 2005-09-20 |
Higher Order DLMS- Type Method for Solving Liner Algebraic Equations |
| |
| LI Zhi-bin, WANG Chao, LI Wei, WANG Ai-qi.Higher Order DLMS- Type Method for Solving Liner Algebraic Equations[J].Journal of Dalian Railway Institute,2005,26(4):4-6. |
| |
| Authors: | LI Zhi-bin WANG Chao LI Wei WANG Ai-qi |
| |
| Institution: | School of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China |
| |
| Abstract: | A higher order DLMS-type method for solving system of liner algebraic equations is proposed.The method combines the srongpoint of Least Mean Square(LMS) algorithm with the srongpoint of two parameters parallel Jacobi-type algorithm,avoid matrix inversion and has the advantages of less computions and wide scope of applications.The convergence of the method is analyzed,and the optimum parameters are proposed. |
| |
| Keywords: | system of linear algebraic equations DLMS-type method iterative method convergence optimum parameters |
| 本文献已被 CNKI 维普 等数据库收录！ |
