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A Discrete-type Continuation Regularization Method and its Application
引用本文:韩波,游建华,刘家琦. A Discrete-type Continuation Regularization Method and its Application[J]. 哈尔滨工业大学学报(英文版), 1995, 0(1)
作者姓名:韩波  游建华  刘家琦
作者单位:Dept. of Mathematics,Harbin Institute of Technology,Harbin,150001,China
摘    要:ADiscrete-typeContinuationRegularizationMethodanditsApplication¥(韩波)(游建华)(刘家琦)HANBo;YOUJianhua;LIUJiaqi(Dept.ofMathematics,Ha...


A Discrete-type Continuation Regularization Method and its Application
HAN Bo, YOU Jianhua, LIU Jiaqi. A Discrete-type Continuation Regularization Method and its Application[J]. Journal of Harbin Institute of Technology (New Series), 1995, 0(1)
Authors:HAN Bo   YOU Jianhua   LIU Jiaqi
Abstract:Discrete-type continuation method for solving nonlinear system of equations and Tikhonov's regularization method for solving linear ill-posed problems are combined into a stable and widely convergent one for solving nonlinear operator equations with difficultly computed and ill-conditioned derivatives. Some results about their convergence are given The application of this method to solve the inverse problem of one-dimensional diffusion equation is demonstrated.
Keywords:ss: Discrete-type continuution method   regularization method   inverse problem of differential equations
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