Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Trace ratio optimization with an application to multi-view learning. (English) Zbl 1522.65100 Math. Program. 201, No. 1-2 (A), 97-131 (2023). MSC: 65K05 68T05 90C26 90C32 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Program. 201, No. 1--2 (A), 97--131 (2023; Zbl 1522.65100) Full Text: DOI arXiv
Liang, Xin; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang On generalizing trace minimization principles. (English) Zbl 1501.15005 Linear Algebra Appl. 656, 483-509 (2023). MSC: 15A15 15A18 15A22 65F15 90C20 90C26 PDFBibTeX XMLCite \textit{X. Liang} et al., Linear Algebra Appl. 656, 483--509 (2023; Zbl 1501.15005) Full Text: DOI
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Maximizing sum of coupled traces with applications. (English) Zbl 1505.65221 Numer. Math. 152, No. 3, 587-629 (2022). MSC: 65K05 65H17 90C26 PDFBibTeX XMLCite \textit{L. Wang} et al., Numer. Math. 152, No. 3, 587--629 (2022; Zbl 1505.65221) Full Text: DOI
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
Wang, Xiang; Li, Xing; Zhang, Lei-Hong; Li, Ren-Cang An efficient numerical method for the symmetric positive definite second-order cone linear complementarity problem. (English) Zbl 1418.90265 J. Sci. Comput. 79, No. 3, 1608-1629 (2019). MSC: 90C33 65K05 65F99 65F15 65F30 65P99 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Sci. Comput. 79, No. 3, 1608--1629 (2019; Zbl 1418.90265) 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
Zhang, Lei-Hong On a self-consistent-field-like iteration for maximizing the sum of the Rayleigh quotients. (English) Zbl 1294.65065 J. Comput. Appl. Math. 257, 14-28 (2014). MSC: 65K05 90C20 90C51 65H17 62H30 68T10 PDFBibTeX XMLCite \textit{L.-H. Zhang}, J. Comput. Appl. Math. 257, 14--28 (2014; Zbl 1294.65065) Full Text: DOI
Zhang, Lei-Hong; Yang, Wei Hong An efficient algorithm for second-order cone linear complementarity problems. (English) Zbl 1291.90269 Math. Comput. 83, No. 288, 1701-1726 (2014). MSC: 90C33 65K05 65F99 PDFBibTeX XMLCite \textit{L.-H. Zhang} and \textit{W. H. Yang}, Math. Comput. 83, No. 288, 1701--1726 (2014; Zbl 1291.90269) Full Text: DOI
Zhang, Lei-Hong; Yang, Wei Hong Perturbation analysis for the trace quotient problem. (English) Zbl 1284.65054 Linear Multilinear Algebra 61, No. 12, 1629-1640 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65F30 62H30 PDFBibTeX XMLCite \textit{L.-H. Zhang} and \textit{W. H. Yang}, Linear Multilinear Algebra 61, No. 12, 1629--1640 (2013; Zbl 1284.65054) Full Text: DOI
Zhang, Lei-Hong On optimizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient on the unit sphere. (English) Zbl 1285.90042 Comput. Optim. Appl. 54, No. 1, 111-139 (2013). MSC: 90C26 PDFBibTeX XMLCite \textit{L.-H. Zhang}, Comput. Optim. Appl. 54, No. 1, 111--139 (2013; Zbl 1285.90042) Full Text: DOI
Zhang, Lei-Hong; Liao, Li-Zhi An alternating variable method for the maximal correlation problem. (English) Zbl 1318.62200 J. Glob. Optim. 54, No. 1, 199-218 (2012). MSC: 62H20 15A12 65F10 65K05 PDFBibTeX XMLCite \textit{L.-H. Zhang} and \textit{L.-Z. Liao}, J. Glob. Optim. 54, No. 1, 199--218 (2012; Zbl 1318.62200) Full Text: DOI