Gao, Juan; Liu, Xin-Wei; Dai, Yu-Hong; Huang, Yakui; Gu, Junhua Distributed stochastic gradient tracking methods with momentum acceleration for non-convex optimization. (English) Zbl 1516.90060 Comput. Optim. Appl. 84, No. 2, 531-572 (2023). MSC: 90C26 90C15 PDFBibTeX XMLCite \textit{J. Gao} et al., Comput. Optim. Appl. 84, No. 2, 531--572 (2023; Zbl 1516.90060) Full Text: DOI
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
Liu, Xin-Wei; Dai, Yu-Hong; Huang, Ya-Kui A primal-dual interior-point relaxation method with global and rapidly local convergence for nonlinear programs. (English) Zbl 1508.90071 Math. Methods Oper. Res. 96, No. 3, 351-382 (2022). MSC: 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{X.-W. Liu} et al., Math. Methods Oper. Res. 96, No. 3, 351--382 (2022; Zbl 1508.90071) 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
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
He, Yongguang; Li, Huiyun; Liu, Xinwei Relaxed inertial proximal Peaceman-Rachford splitting method for separable convex programming. (English) Zbl 1401.90154 Front. Math. China 13, No. 3, 555-578 (2018). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{Y. He} et al., Front. Math. China 13, No. 3, 555--578 (2018; Zbl 1401.90154) Full Text: DOI
Liu, Zijuan; Li, Huiyun; Liu, Xinwei On accelerated proximal gradient algorithms with parameters in extrapolation coefficients. (Chinese. English summary) Zbl 1374.90364 J. Numer. Methods Comput. Appl. 37, No. 3, 211-222 (2016). MSC: 90C30 65K05 90C25 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Numer. Methods Comput. Appl. 37, No. 3, 211--222 (2016; Zbl 1374.90364)
Liu, Yajun; Liu, Xinwei Trust region BB methods for unconstrained minimization. (Chinese. English summary) Zbl 1349.90783 Math. Numer. Sin. 38, No. 1, 96-112 (2016). MSC: 90C31 65K05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Liu}, Math. Numer. Sin. 38, No. 1, 96--112 (2016; Zbl 1349.90783)
Bi, Yaqian; Liu, Xinwei A new nonmonotone spectral projected gradient method for bound constrained optimization. (Chinese. English summary) Zbl 1299.90311 Math. Numer. Sin. 35, No. 4, 419-430 (2013). MSC: 90C30 65K10 PDFBibTeX XMLCite \textit{Y. Bi} and \textit{X. Liu}, Math. Numer. Sin. 35, No. 4, 419--430 (2013; Zbl 1299.90311)
Hao, Chunlin; Liu, Xinwei Global convergence of an SQP algorithm for nonlinear optimization with overdetermined constraints. (English) Zbl 1254.90227 Numer. Algebra Control Optim. 2, No. 1, 19-29 (2012). MSC: 90C30 90C51 65K05 PDFBibTeX XMLCite \textit{C. Hao} and \textit{X. Liu}, Numer. Algebra Control Optim. 2, No. 1, 19--29 (2012; Zbl 1254.90227) Full Text: DOI
Liu, Xinwei; Yuan, Yaxiang A sequential quadratic programming method without a penalty function or a filter for nonlinear equality constrained optimization. (English) Zbl 1233.90257 SIAM J. Optim. 21, No. 2, 545-571 (2011). Reviewer: Oliver Stein (Karlsruhe) MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Yuan}, SIAM J. Optim. 21, No. 2, 545--571 (2011; Zbl 1233.90257) Full Text: DOI
Liu, Xinwei; Yuan, Yaxiang A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties. (English) Zbl 1205.90272 Math. Program. 125, No. 1 (A), 163-193 (2010). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C30 90C51 65K05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Yuan}, Math. Program. 125, No. 1 (A), 163--193 (2010; Zbl 1205.90272) Full Text: DOI
Liu, Xin-Wei Global convergence on an active set SQP for inequality constrained optimization. (English) Zbl 1074.65067 J. Comput. Appl. Math. 180, No. 1, 201-211 (2005). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{X.-W. Liu}, J. Comput. Appl. Math. 180, No. 1, 201--211 (2005; Zbl 1074.65067) Full Text: DOI
Liu, Xinwei; Sun, Jie A robust primal-dual interior-point algorithm for nonlinear programs. (English) Zbl 1079.90160 SIAM J. Optim. 14, No. 4, 1163-1186 (2004). MSC: 90C51 90C22 90C30 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Sun}, SIAM J. Optim. 14, No. 4, 1163--1186 (2004; Zbl 1079.90160) Full Text: DOI
Liu, Xinwei; Sun, Jie Generalized stationary points and an interior-point method for mathematical programs with equilibrium constraints. (English) Zbl 1076.90059 Math. Program. 101, No. 1 (B), 231-261 (2004). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Sun}, Math. Program. 101, No. 1 (B), 231--261 (2004; Zbl 1076.90059) Full Text: DOI
Liu, Xinwei; Yuan, Yaxiang A robust trust region algorithm for solving general nonlinear programming. (English) Zbl 0984.65061 J. Comput. Math. 19, No. 3, 309-322 (2001). Reviewer: Hang Tong Lau (St.Laurent/Quebec) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Yuan}, J. Comput. Math. 19, No. 3, 309--322 (2001; Zbl 0984.65061)