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2008•Journal of Yangtze UniversityRequires access

A New Regularization Method for Solving Ill-posed Problems

Dongshuang Zhang

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Abstract

According to the theory of singular system of compact operators,a new regularization filters is set forth and a new regularization method for solving ill-posed problems of the first kind equations is constructed.The error analysis of the regularized solution is given.by a prior choice of the regularization parameter.The convergence and the optimal asymptotic order of the regularized solution are obtained.

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What this paper is about

According to the theory of singular system of compact operators,a new regularization filters is set forth and a new regularization method for solving ill-posed problems of the first kind equations is constructed.The error analysis of the regularized solution is given.by a prior choice of the regularization parameter.The convergence and the optimal asymptotic order of the regularized solution are obtained.

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Available abstract

According to the theory of singular system of compact operators,a new regularization filters is set forth and a new regularization method for solving ill-posed problems of the first kind equations is constructed.The error analysis of the regularized solution is given.by a prior choice of the regularization parameter.The convergence and the optimal asymptotic order of the regularized solution are obtained.

Key concepts: Regularization (linguistics), Backus–Gilbert method, Well-posed problem, Regularization perspectives on support vector machines, Mathematics, Applied mathematics, Mathematical optimization, Inverse problem

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