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。
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.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
1990年第2期12-21,共10页
Journal of Nanjing Normal University(Natural Science Edition)
关键词
正实阵
GCR算法
残量
谱分布界
Positive real matrix, GCR algorithm, Residual, Spectral distribution bound.
