A spectral conjugate gradient method for nonlinear inverse problems. Issue 11 (2nd November 2018)

• Record Type: Journal Article
• Authors: Zhu, Zhibin; Wang, Huajun; Zhang, Benxin
• Is Part Of: Inverse problems in science and engineering. Volume 26:Issue 11(2018)
• Page Start: 1561
• Page End: 1589
• Publication Date: 2018-11-02
• Subjects: Inverse problems -- spectral conjugate gradient method -- robustness -- regularizing properties -- neighbor term; 80M50; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2017.1413103
• Languages: English
• ISSNs: 1741-5977

Abstract

Abstract: In this study, a new spectral conjugate gradient method is presented to solve nonlinear inverse problems, which transferred into the unconstrained nonlinear optimization with a neighbour term. The global convergence and regularizing properties of the proposed method are analysed. In the end, some numerical results illustrate the efficiency and the robustness of this method.