首页|采用A-光滑正则化的求解非线性不适定问题的一种Newton型方法

采用A-光滑正则化的求解非线性不适定问题的一种Newton型方法

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A Newton-type method for nonlinear ill-posed problems with A-smooth regularization
In this paper we present a regularized Newton-type method for ill-posed problems, by using the A-smooth regularization to solve the linearized ill-posed equations. For noisy data a proper a posteriori stopping rule is used that yields convergence of the Newton iteration to a solution, as the noise level goes to zero, under certain smoothness conditions on the nonlinear operator. Some appropriate assumptions on the closedness and smoothness of the starting value and the solution are shown to lead to optimal convergence rates.

nonlinear ill-posed problems, A-smooth regularization, a posteriori stopping rule, convergence and convergence rates.

殷萍、贺国强、孟泽红

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

nonlinear ill-posed problems, A-smooth regularization, a posteriori stopping rule, convergence and convergence rates.

2007

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子:0.196
ISSN:1007-6417
年,卷(期):2007.11(5)
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