Dai, Yu-Hong An overview of nonlinear optimization. (English) Zbl 07822594 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5290-5313 (2023). MSC: 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5290--5313 (2023; Zbl 07822594) Full Text: DOI OA License
Liu, Xin-Wei; Dai, Yu-Hong; Huang, Ya-Kui; Sun, Jie A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints. (English) Zbl 1512.90178 Math. Comput. 92, No. 341, 1301-1330 (2023). MSC: 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{X.-W. Liu} et al., Math. Comput. 92, No. 341, 1301--1330 (2023; Zbl 1512.90178) Full Text: DOI arXiv
Chen, Zhongwen; Dai, Yu-Hong; Zhang, Tauyou A line search penalty-free SQP method for equality-constrained optimization without Maratos effect. (English) Zbl 1507.65097 IMA J. Numer. Anal. 42, No. 4, 3771-3802 (2022). MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{Z. Chen} et al., IMA J. Numer. Anal. 42, No. 4, 3771--3802 (2022; Zbl 1507.65097) Full Text: DOI
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao Gradient methods exploiting spectral properties. (English) Zbl 1454.90042 Optim. Methods Softw. 35, No. 4, 681-705 (2020). MSC: 90C20 90C25 90C30 PDFBibTeX XMLCite \textit{Y. Huang} et al., Optim. Methods Softw. 35, No. 4, 681--705 (2020; Zbl 1454.90042) Full Text: DOI arXiv
Dai, Yu-Hong; Liu, Xin-Wei; Sun, Jie A primal-dual interior-point method capable of rapidly detecting infeasibility for nonlinear programs. (English) Zbl 1449.90325 J. Ind. Manag. Optim. 16, No. 2, 1009-1035 (2020). MSC: 90C30 90C51 90C26 90C46 PDFBibTeX XMLCite \textit{Y.-H. Dai} et al., J. Ind. Manag. Optim. 16, No. 2, 1009--1035 (2020; Zbl 1449.90325) Full Text: DOI arXiv
Chen, Zhongwen; Dai, Yu-Hong; Liu, Jiangyan A penalty-free method with superlinear convergence for equality constrained optimization. (English) Zbl 1446.90146 Comput. Optim. Appl. 76, No. 3, 801-833 (2020). MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Comput. Optim. Appl. 76, No. 3, 801--833 (2020; Zbl 1446.90146) Full Text: DOI
Liu, Xin-Wei; Dai, Yu-Hong A globally convergent primal-dual interior-point relaxation method for nonlinear programs. (English) Zbl 1440.90074 Math. Comput. 89, No. 323, 1301-1329 (2020). MSC: 90C30 90C51 90C26 PDFBibTeX XMLCite \textit{X.-W. Liu} and \textit{Y.-H. Dai}, Math. Comput. 89, No. 323, 1301--1329 (2020; Zbl 1440.90074) Full Text: DOI arXiv
Kou, Caixia; Chen, Zhongwen; Dai, Yuhong; Han, Haifei An augmented Lagrangian trust region method with a bi-object strategy. (English) Zbl 1413.65245 J. Comput. Math. 36, No. 3, 331-350 (2018). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{C. Kou} et al., J. Comput. Math. 36, No. 3, 331--350 (2018; Zbl 1413.65245) Full Text: DOI
Chen, Zhongwen; Dai, Yu-Hong A line search exact penalty method with bi-object strategy for nonlinear constrained optimization. (English) Zbl 1382.65168 J. Comput. Appl. Math. 300, 245-258 (2016). MSC: 65K05 49M37 90C30 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{Y.-H. Dai}, J. Comput. Appl. Math. 300, 245--258 (2016; Zbl 1382.65168) Full Text: DOI
Hu, Yi-Qing; Hao, Chun-Lin; Dai, Yu-Hong Projected gradient algorithms for optimization over order simplices. (English) Zbl 1301.49087 Optim. Methods Softw. 29, No. 5, 1090-1117 (2014). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{Y.-Q. Hu} et al., Optim. Methods Softw. 29, No. 5, 1090--1117 (2014; Zbl 1301.49087) Full Text: DOI