A mixed Newton-Tikhonov method for nonlinear ill-posed problems

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A mixed Newton-Tikhonov method for nonlinear ill-posed problems

Newton type methods are one kind of the efficient methods to solve nonlinear ill-posed problems,which have attracted extensive attention.However,computational cost of Newton type methods is high because practical problems are complicated.We propose a mixed Newton-Tikhonov method,i.e.,one step Newton-Tikhonov method with several other steps of simplified Newton-Tikhonov method.Convergence and stability of this method are proved under some conditions.Numerical experiments show that the proposed method has obvious advantages over the classical Newton method in terms of computational costs.水利论文uz#x`+u[*D `?r

作 者: Chuan-gang KANG Guo-qiang HE  
作者单位:Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2009 30(6) 
分类号:O241 
关键词:nonlinear ill-posed problem   inverse heat conduction problem   mixed Newton-Tikhonov method   convergence   stability  
机标关键词:problemsNewton methodpracticaltypetermsstepkindhigh 
基金项目:the Key Disciplines of Shanghai Municipality,上海市重点学科建设项目 
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