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
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
Liang, Xin; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang On Generalizing Trace Minimization. arXiv:2104.00257 Preprint, arXiv:2104.00257 [math.NA] (2021). MSC: 15A18 15A22 65F15 BibTeX Cite \textit{X. Liang} et al., ``On Generalizing Trace Minimization'', Preprint, arXiv:2104.00257 [math.NA] (2021) Full Text: DOI arXiv OA License
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang Orthogonal canonical correlation analysis and applications. (English) Zbl 1455.65059 Optim. Methods Softw. 35, No. 4, 787-807 (2020). MSC: 65F15 15A18 65K05 90C90 PDFBibTeX XMLCite \textit{L. Wang} et al., Optim. Methods Softw. 35, No. 4, 787--807 (2020; Zbl 1455.65059) Full Text: DOI
Wang, Li; Zhang, Leihong; Shen, Chungen; Li, Ren-cang Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors. arXiv:2010.01632 Preprint, arXiv:2010.01632 [cs.LG] (2020). BibTeX Cite \textit{L. Wang} et al., ``Orthogonal Multi-view Analysis by Successive Approximations via Eigenvectors'', Preprint, arXiv:2010.01632 [cs.LG] (2020) Full Text: arXiv OA License
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; Wang, Li; Bai, Zhaojun; Li, Ren-cang A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis. arXiv:1909.11527 Preprint, arXiv:1909.11527 [cs.LG] (2019). BibTeX Cite \textit{L. Zhang} et al., ``A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis'', Preprint, arXiv:1909.11527 [cs.LG] (2019) Full Text: arXiv OA License
Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang On an eigenvector-dependent nonlinear eigenvalue problem. (English) Zbl 1401.65036 SIAM J. Matrix Anal. Appl. 39, No. 3, 1360-1382 (2018). MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{Y. Cai} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1360--1382 (2018; Zbl 1401.65036) Full Text: DOI
Wang, Wei-Guo; Zhang, Lei-Hong; Li, Ren-Cang Error bounds for approximate deflating subspaces for linear response eigenvalue problems. (English) Zbl 1398.15016 Linear Algebra Appl. 528, 273-289 (2017). MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{W.-G. Wang} et al., Linear Algebra Appl. 528, 273--289 (2017; Zbl 1398.15016) 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, Leihong; Li, Rencang Maximization of the sum of the trace ratio on the Stiefel manifold. II: computation. (English) Zbl 1384.90102 Sci. China, Math. 58, No. 7, 1549-1566 (2015). MSC: 90C32 90C46 65F15 65F30 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{R. Li}, Sci. China, Math. 58, No. 7, 1549--1566 (2015; Zbl 1384.90102) Full Text: DOI
Zhang, Lei-Hong; Lin, Wen-Wei; Li, Ren-Cang Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem. (English) Zbl 1350.65081 BIT 55, No. 3, 869-896 (2015). MSC: 65L15 34L16 65L70 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., BIT 55, No. 3, 869--896 (2015; Zbl 1350.65081) Full Text: DOI
Li, Ren-Cang; Zhang, Lei-Hong Convergence of the block Lanczos method for eigenvalue clusters. (English) Zbl 1334.65073 Numer. Math. 131, No. 1, 83-113 (2015). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 PDFBibTeX XMLCite \textit{R.-C. Li} and \textit{L.-H. Zhang}, Numer. Math. 131, No. 1, 83--113 (2015; Zbl 1334.65073) 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, LeiHong; Li, RenCang Maximization of the sum of the trace ratio on the Stiefel manifold. I: Theory. (English) Zbl 1341.90128 Sci. China, Math. 57, No. 12, 2495-2508 (2014). MSC: 90C32 90C46 65F15 65F30 62H30 15A18 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{R. Li}, Sci. China, Math. 57, No. 12, 2495--2508 (2014; Zbl 1341.90128) Full Text: DOI
Zhang, Lei-Hong; Xue, Jungong; Li, Ren-Cang Rayleigh-Ritz approximation for the linear response eigenvalue problem. (English) Zbl 1305.65126 SIAM J. Matrix Anal. Appl. 35, No. 2, 765-782 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F15 15A42 65L15 34L16 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 35, No. 2, 765--782 (2014; Zbl 1305.65126) Full Text: DOI Link