Regularization methods for a problem of analytic continuation

In this paper, we prove a sharp stability estimate for the problem of analytic continuation. Based on the obtained stability estimate, a generalized Tikhonov regularization is provided and the corresponding error estimate is obtained. Moreover, we give many other regularization methods. For illustration, a numerical experiment is constructed to demonstrate the feasibility and efficiency of the proposed method.

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Year of publication:	2011
Authors:	Xiong, Xiangtuan ; Zhu, Liqin ; Li, Ming
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 82.2011, 2, p. 332-345
Publisher:	Elsevier
Subject:	Analytic continuation \| Ill-posed problems \| Generalized Tikhonov regularization \| Stability estimate \| Error estimate

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010751836