摘要
为了改善古典迭代法的收敛速度,本文提出一种带参数的新预条件方法,并对参数的选择给出必要条件,证明了对于非奇异不可约M-矩阵,新预条件方法收敛且可以加速Gauss-Seidel迭代法的收敛速度,数值例子表明新预条件方法是有效的.
In order to improve on the convergence rates of the classical iterative schemes,the pa- per presents a new effective preconditioned method with some new parameters.Under some suitable conditions,the paper gives the convergence results and proves the accelerated con- vergence of the new preconditioned method under the nonsingular M-matrix. Also numerical results shows that the new method is effective.
出处
《数值计算与计算机应用》
CSCD
北大核心
2011年第4期267-273,共7页
Journal on Numerical Methods and Computer Applications
基金
浙江工业职业技术学院科技计划项目(KY2011122)
