Regularization methods for a problem of analytic continuation

Xiangtuan Xiong, Liqin Zhu and Ming Li

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 2, 332-345

Abstract: 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.

Keywords: Analytic continuation; Ill-posed problems; Generalized Tikhonov regularization; Stability estimate; Error estimate (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:2:p:332-345

DOI: 10.1016/j.matcom.2011.08.005

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