Jia, Xiaojing; Liang, Xin; Shen, Chungen; Zhang, Lei-Hong Solving the cubic regularization model by a nested restarting Lanczos method. (English) Zbl 1489.90183 SIAM J. Matrix Anal. Appl. 43, No. 2, 812-839 (2022). MSC: 90C30 90C06 90C53 65K05 65F15 PDFBibTeX XMLCite \textit{X. Jia} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 812--839 (2022; Zbl 1489.90183) Full Text: DOI
Ma, Xijun; Shen, Chungen; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. (English) Zbl 1490.90213 Adv. Comput. Math. 48, No. 2, Paper No. 13, 34 p. (2022). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{X. Ma} et al., Adv. Comput. Math. 48, No. 2, Paper No. 13, 34 p. (2022; Zbl 1490.90213) Full Text: DOI
Zhang, Lei-Hong; Yang, Wei Hong; Shen, Chungen; Ying, Jiaqi An eigenvalue-based method for the unbalanced Procrustes problem. (English) Zbl 1461.65051 SIAM J. Matrix Anal. Appl. 41, No. 3, 957-983 (2020). MSC: 65F15 65H17 90C30 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 957--983 (2020; Zbl 1461.65051) Full Text: DOI
Zhang, Leihong; Yang, Weihong; Shen, Chungen; Feng, Jiang Error bounds of Lanczos approach for trust-region subproblem. (English) Zbl 1392.90088 Front. Math. China 13, No. 2, 459-481 (2018). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{L. Zhang} et al., Front. Math. China 13, No. 2, 459--481 (2018; Zbl 1392.90088) Full Text: DOI
Zhang, Lei-Hong; Shen, Chungen A nested Lanczos method for the trust-region subproblem. (English) Zbl 1402.90113 SIAM J. Sci. Comput. 40, No. 4, A2005-A2032 (2018). MSC: 90C20 90C06 65F10 65F15 65K05 PDFBibTeX XMLCite \textit{L.-H. Zhang} and \textit{C. Shen}, SIAM J. Sci. Comput. 40, No. 4, A2005--A2032 (2018; Zbl 1402.90113) Full Text: DOI
Zhang, Lei-Hong; Shen, Chungen; Yang, Wei Hong; Júdice, Joaquim J. A Lanczos method for large-scale extreme Lorentz eigenvalue problems. (English) Zbl 1390.90543 SIAM J. Matrix Anal. Appl. 39, No. 2, 611-631 (2018). MSC: 90C33 47J20 15A18 90C06 65F15 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 611--631 (2018; Zbl 1390.90543) Full Text: DOI
Zhang, Lei-Hong; Shen, Chungen; Li, Ren-Cang On the generalized Lanczos trust-region method. (English) Zbl 1380.90210 SIAM J. Optim. 27, No. 3, 2110-2142 (2017). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Optim. 27, No. 3, 2110--2142 (2017; Zbl 1380.90210) Full Text: DOI
Zhang, Lei-Hong; Yang, Wei Hong; Shen, Chungen; Li, Ren-Cang A Krylov subspace method for large-scale second-order cone linear complementarity problem. (English) Zbl 1326.90090 SIAM J. Sci. Comput. 37, No. 4, A2046-A2075 (2015). MSC: 90C33 65K05 65F99 65F15 65F30 65P99 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Sci. Comput. 37, No. 4, A2046--A2075 (2015; Zbl 1326.90090) Full Text: DOI Link
Shen, Chungen; Leyffer, Sven; Fletcher, Roger A nonmonotone filter method for nonlinear optimization. (English) Zbl 1259.90140 Comput. Optim. Appl. 52, No. 3, 583-607 (2012). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{C. Shen} et al., Comput. Optim. Appl. 52, No. 3, 583--607 (2012; Zbl 1259.90140) Full Text: DOI