| GAOR方法的收敛性 |
| |
| 引用本文： | 曾文平.GAOR方法的收敛性[J].华侨大学学报(自然科学版),1990,11(1):1-7. |
| |
| 作者姓名： | 曾文平 |
| |
| 作者单位： | 华侨大学应用数学系 |
| |
| 摘 要： | 本文导出 GAOR 迭代矩阵谱半径的表达式,给出了在 L 矩阵情况下 GAOR 与 GSOR 迭代矩阵谱半径之间的关系,并在系数矩阵为 L 矩阵,H 矩阵,Hermitian 正定矩阵,严格对角占优矩阵及不可约对角占优矩阵的条件下,讨论了 GAOR 迭代的收敛性,进一步扩充了文2]、3]的结果.
|
| 关 键 词： | 线性方程组 GAOR法 迭代法 收敛 |
Convergence of GAOR Method |
| |
| Zeng Wenping.Convergence of GAOR Method[J].Journal of Huaqiao University(Natural Science),1990,11(1):1-7. |
| |
| Authors: | Zeng Wenping |
| |
| Institution: | Zeng Wenping |
| |
| Abstract: | GAOR method,generalized accelerated overrelaxation method,is an iterative method proposed by A.Hadjidimos for solving the linear equations Ax=b.Its convergence was discussed by him under the conditions that the coefficient mat- rices being L natrix,M matrix and real symmetric positive definite matrix. For further generalizing these results,an expression for spectral radius of GAOR iterative matrices was derived in this paper,and the relationship between the spectral radius of GAOR and that of GSOR was given in the presence of L matrix.The convergence of GAOR iteration was discussed here under the condi- tion that the coefficieat matrices being L matrix,H,matris,Hermitian positive definite matrix,strictly diagonally dominant matrix,and irreducible diagonally dominant matrix. |
| |
| Keywords: | convergence iteration method spectral radius generalized accelerated overrelaxation method |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
