摘要
由迭代法平均收敛速度与渐进收敛速度的关系引入近似估计法,即通过对迭代平均收敛速度取对数,然后使用数值拟合软件CurveExport1.3给出拟合函数,最终得到了Jacobi迭代法和Gauss-seidel法平均收敛速度收敛到渐进收敛速度的近似收敛阶,且该法适用于其他迭代法平均收敛速度的估计。
This paper employs the relationship of iterative methods＇average convergence speed and gradual convergence speed to conduct the approximate estimate method, that is, take the logarithm of an average of iterative convergence speed, then take using a numerical fitting software CurveExportl.3 fitting function are given, finally gets Jacobi iterative method and Gauss-seidel average convergence speed of convergence to the gradual convergence speed of convergence order, and the method is applicable to other iteration method of average convergence estimate.
出处
《山西大同大学学报（自然科学版）》
2012年第1期11-13,共3页
Journal of Shanxi Datong University(Natural Science Edition)
基金
山西省重点学科资助项目[20091021]
关键词
迭代矩阵
平均收敛速度
渐进收敛速度
iterative matrix
average convergence speed
gradual convergence speed
