کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640960 1632053 2009 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An implicit Landweber method for nonlinear ill-posed operator equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An implicit Landweber method for nonlinear ill-posed operator equations
چکیده انگلیسی

In this paper, we are interested in the solution of nonlinear inverse problems of the form F(x)=yF(x)=y. We propose an implicit Landweber method, which is similar to the third-order midpoint Newton method in form, and consider the convergence behavior of the implicit Landweber method. Using the discrepancy principle as a stopping criterion, we obtain a regularization method for ill-posed problems. We conclude with numerical examples confirming the theoretical results, including comparisons with the classical Landweber iteration and presented modified Landweber methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 230, Issue 2, 15 August 2009, Pages 607–613
نویسندگان
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