求解不适定方程的两步定常迭代法  

Linear two-step stationary iteration for solving ill-posed problems

作　　者：朱广军[1] 张玉海[1] 张超[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2007年第10期47-53,共7页Journal of Shandong University(Natural Science)

摘　　要：讨论了方程Kx=y两步定常迭代的近似解,推导出滤波函数.通过适当地确定α,β的范围,证明此滤波函数是正则滤波函数,并给出此迭代的收敛阶及停止法则.The approximate solutions of equation Kx = y was solved by linear two-step stationary iterative methods. Filter function is a regularizing filter function by restricting α, β. Finally, the stopping criteria and the order of convergence were given.

关 键 词：两步线性定常迭代 正则化策略 停止法则 收敛阶 

分 类 号：O241[理学—计算数学]