General Mathematics

    

On the a-Posteriori Fourier Method for Solving Ill-Posed Problems

Authors: Zhenming Zheng, Xiangtuan Xiong

The Fourier method is a convenient regularization method for solving a class of ill-posed problems. This class of ill-posed problems can be also formulated as the problem of ill-posed multiplication operator equation in the frequency domain. A recent work on the Morozov's discrepancy principle for the Fourier method are discussed in [2]. In this paper, we investigate the Fourier method within the framework of regularization theory thoroughly for solving the severely ill-posed problems. Many ill-posed examples are provided.

Comments: 15 Pages.

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Submission history

[v1] 2016-05-13 22:48:03

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