Li, Peili; Lu, Xiliang; Xiao, Yunhai Smoothing Newton method for \(\ell^0\)-\(\ell^2\) regularized linear inverse problem. (English) Zbl 1481.65059 Inverse Probl. Imaging 16, No. 1, 153-177 (2022). MSC: 65F22 15A29 PDFBibTeX XMLCite \textit{P. Li} et al., Inverse Probl. Imaging 16, No. 1, 153--177 (2022; Zbl 1481.65059) Full Text: DOI
Jiao, Yuling; Jin, Qinian; Lu, Xiliang; Wang, Weijie Preconditioned alternating direction method of multipliers for inverse problems with constraints. (English) Zbl 1360.65164 Inverse Probl. 33, No. 2, Article ID 025004, 34 p. (2017). Reviewer: Bangti Jin (London) MSC: 65J22 65J10 47A52 65J20 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Inverse Probl. 33, No. 2, Article ID 025004, 34 p. (2017; Zbl 1360.65164) Full Text: DOI Link
Jin, Zheng-Fen; Wan, Zhongping; Jiao, Yuling; Lu, Xiliang An alternating direction method with continuation for nonconvex low rank minimization. (English) Zbl 1342.65144 J. Sci. Comput. 66, No. 2, 849-869 (2016). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{Z.-F. Jin} et al., J. Sci. Comput. 66, No. 2, 849--869 (2016; Zbl 1342.65144) Full Text: DOI
Jin, Qinian; Lu, Xiliang A fast nonstationary iterative method with convex penalty for inverse problems in Hilbert spaces. (English) Zbl 1297.65059 Inverse Probl. 30, No. 4, Article ID 045012, 21 p. (2014). Reviewer: Peter Zabreiko (Minsk) MSC: 65J10 65J20 65J22 65L09 65J15 47A52 47J06 65D18 35J05 PDFBibTeX XMLCite \textit{Q. Jin} and \textit{X. Lu}, Inverse Probl. 30, No. 4, Article ID 045012, 21 p. (2014; Zbl 1297.65059) Full Text: DOI arXiv
Lu, Xiliang; Lin, Ping; Liu, Jian-Guo Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. (English) Zbl 1285.76018 Math. Comput. 77, No. 263, 1467-1494 (2008). MSC: 76M10 76D05 65M12 65M60 35Q30 PDFBibTeX XMLCite \textit{X. Lu} et al., Math. Comput. 77, No. 263, 1467--1494 (2008; Zbl 1285.76018) Full Text: DOI
Lin, Ping; Liu, Jian-Guo; Lu, Xiliang Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation. (English) Zbl 1404.65124 SIAM J. Sci. Comput. 31, No. 1, 398-419 (2008). MSC: 65M12 76D05 PDFBibTeX XMLCite \textit{P. Lin} et al., SIAM J. Sci. Comput. 31, No. 1, 398--419 (2008; Zbl 1404.65124) Full Text: DOI