Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem
نویسندگان
چکیده
منابع مشابه
On Levenberg-Marquardt Kaczmarz regularization methods for ill-posed problems
We investigate modified Levenberg-Marquardt methods coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization method.
متن کاملOn the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems
In this note we study the convergence of the Levenberg-Marquardt regularization scheme for nonlinear ill-posed problems. We consider the case that the initial error satisfies a source condition. Our main result shows that if the regularization parameter does not grow too fast (not faster than a geometric sequence), then the scheme converges with optimal convergence rates. Our analysis is based ...
متن کاملA Compressive Landweber Iteration for Solving Ill-Posed Inverse Problems
In this paper we shall be concerned with the construction of an adaptive Landweber iteration for solving linear ill-posed and inverse problems. Classical Landweber iteration schemes provide in combination with suitable regularization parameter rules order optimal regularization schemes. However, for many applications the implementation of Landweber’s method is numerically very intensive. Theref...
متن کاملOn Levenberg-marquardt-kaczmarz Iterative Methods for Solving Systems of Nonlinear Ill-posed Equations
In this article a modified Levenberg-Marquardt method coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations is investigated. We show that the proposed method is a convergent regularization method. Numerical tests are presented for a non-linear inverse doping problem based on a bipolar model.
متن کاملIll-Posed and Linear Inverse Problems
In this paper ill-posed linear inverse problems that arises in many applications is considered. The instability of special kind of these problems and it's relation to the kernel, is described. For finding a stable solution to these problems we need some kind of regularization that is presented. The results have been applied for a singular equation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ETNA - Electronic Transactions on Numerical Analysis
سال: 2019
ISSN: 1068-9613,1068-9613
DOI: 10.1553/etna_vol51s274