【作者】 顾阿伦； 孙永广；

【Author】 GU A-lun, SUN Yong-guang (Institute of Nuclear and New Energy Technology,Qinghua University,Beijing 100 084,China)

【机构】 清华大学核能与新能源技术研究院；

【摘要】 本文分析了基于残差空间求解线性方程组的一维投影算法即最速下降法.定义了长轴陷阱及陷阱深度,用它们刻划了该算法迭代过程中锯齿现象的几何特征.本文给出了基于残差序列的避开长轴陷阱的扰动技巧,即多维投影算法.数值试验表明,投影算法要优于现在流行的主要算法.更多还原

【Abstract】 The one-dimension projection algorithm,which is the steepest descent method,base d on residual space for solving linear equations is analyzed in this paper.The d efinitions of long axis trap and trap depth are given.The geometrical feature of the algorithm is characterized.The method of perturbation based on residual ser ies,which keeps residuals off the long axis trap,is presented in this paper.That is the multi-dimension projection method.The numerical experimentation shows th at the method is superior to the present popular dominant algorithms.更多还原