| GCR算法的残量与系数阵谱分布界间的关系 |
| |
| 引用本文： | 陈金如.GCR算法的残量与系数阵谱分布界间的关系[J].南京师大学报,1990,13(2):12-21. |
| |
| 作者姓名： | 陈金如 |
| |
| 作者单位： | 南京师大数学系 |
| |
| 摘 要： | 本文探讨了GCR算法的残量与系数阵谱分布界间的关系,分析了其局限性及可行性,给出了粗略的判别标准,并与古典的共轭斜量法解法方程组的方法作了比较。最后的数值试验验证了所得结论。
|
| 关 键 词： | 正实阵 GCR算法 残量 谱分布界 |
THE RELATION RETWEEN THE RESIDUALS OF GCR ALGORITHM AMD THE SPECTRAL DISTRIBUTION BOUND OF COEFFICIENT MATRIX |
| |
| Chen Jinru.THE RELATION RETWEEN THE RESIDUALS OF GCR ALGORITHM AMD THE SPECTRAL DISTRIBUTION BOUND OF COEFFICIENT MATRIX[J].Journal of Nanjing Normal University(Natural Science Edition),1990,13(2):12-21. |
| |
| Authors: | Chen Jinru |
| |
| Abstract: | This paper studies the relation between the residuals of GCR algorithm and the spectral distribution bound of coefficient matrix. It is analyzed thatthe practicability and limitation of GCR algorithm and the rough criterion is gived. It is compared with GCR algorithm that using conjugate gradient methodto solving the normal equation. Finally, several numrical experiments test results. |
| |
| Keywords: | Positive real matrix GCR algorithm Residual Spectral distribution bound |
| 本文献已被 CNKI 维普 等数据库收录！ |
