Zhang, Liping; Sun, Defeng; Luan, Zhenting Solvability of monotone tensor complementarity problems. (English) Zbl 1514.90231 Sci. China, Math. 66, No. 3, 647-664 (2023). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Sci. China, Math. 66, No. 3, 647--664 (2023; Zbl 1514.90231) Full Text: DOI
Bi, Shujun; Pan, Shaohua; Sun, Defeng A multi-stage convex relaxation approach to noisy structured low-rank matrix recovery. (English) Zbl 1452.90258 Math. Program. Comput. 12, No. 4, 569-602 (2020). MSC: 90C27 90C33 49M20 PDFBibTeX XMLCite \textit{S. Bi} et al., Math. Program. Comput. 12, No. 4, 569--602 (2020; Zbl 1452.90258) Full Text: DOI arXiv
Li, Min; Sun, Defeng; Toh, Kim-Chuan A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. (English) Zbl 1338.90305 SIAM J. Optim. 26, No. 2, 922-950 (2016). MSC: 90C25 90C33 65K05 PDFBibTeX XMLCite \textit{M. Li} et al., SIAM J. Optim. 26, No. 2, 922--950 (2016; Zbl 1338.90305) Full Text: DOI arXiv
Li, Min; Sun, Defeng; Toh, Kim-Chuan A convergent 3-block semi-proximal ADMM for convex minimization problems with one strongly convex block. (English) Zbl 1327.90214 Asia-Pac. J. Oper. Res. 32, No. 4, Article ID 1550024, 19 p. (2015). MSC: 90C25 90C33 65K05 PDFBibTeX XMLCite \textit{M. Li} et al., Asia-Pac. J. Oper. Res. 32, No. 4, Article ID 1550024, 19 p. (2015; Zbl 1327.90214) Full Text: arXiv
Ding, Chao; Sun, Defeng; Ye, Jane J. First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints. (English) Zbl 1301.49036 Math. Program. 147, No. 1-2 (A), 539-579 (2014). MSC: 49J52 49K99 90C22 90C30 90C33 PDFBibTeX XMLCite \textit{C. Ding} et al., Math. Program. 147, No. 1--2 (A), 539--579 (2014; Zbl 1301.49036) Full Text: DOI
Sun, Defeng; Sun, Jie Löwner’s operator and spectral functions in Euclidean Jordan algebras. (English) Zbl 1218.90197 Math. Oper. Res. 33, No. 2, 421-445 (2008). MSC: 90C33 65K10 90C26 90C31 PDFBibTeX XMLCite \textit{D. Sun} and \textit{J. Sun}, Math. Oper. Res. 33, No. 2, 421--445 (2008; Zbl 1218.90197) Full Text: DOI Link
Chen, Jein-Shan; Sun, Defeng; Sun, Jie The \(SC^1\) property of the squared norm of the SOC Fischer-Burmeister function. (English) Zbl 1152.90621 Oper. Res. Lett. 36, No. 3, 385-392 (2008). MSC: 90C33 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., Oper. Res. Lett. 36, No. 3, 385--392 (2008; Zbl 1152.90621) Full Text: DOI
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. (English) Zbl 1151.90509 Comput. Optim. Appl. 35, No. 2, 199-237 (2006). MSC: 90C20 90C33 90C53 PDFBibTeX XMLCite \textit{Z. Huang} et al., Comput. Optim. Appl. 35, No. 2, 199--237 (2006; Zbl 1151.90509) Full Text: DOI
Sun, Defeng; Sun, Jie Strong semismoothness of the Fischer-Burmeister SDC and SOC complementarity functions. (English) Zbl 1099.90062 Math. Program. 103, No. 3 (A), 575-581 (2005). MSC: 90C33 90C22 65F15 65F18 PDFBibTeX XMLCite \textit{D. Sun} and \textit{J. Sun}, Math. Program. 103, No. 3 (A), 575--581 (2005; Zbl 1099.90062) Full Text: DOI
Sun, Jie; Sun, Defeng; Qi, Liqun A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems. (English) Zbl 1079.90094 SIAM J. Optim. 14, No. 3, 783-806 (2004). Reviewer: Stefan Mititelu (Bucureşti) MSC: 90C22 65K05 90C33 90C53 PDFBibTeX XMLCite \textit{J. Sun} et al., SIAM J. Optim. 14, No. 3, 783--806 (2004; Zbl 1079.90094) Full Text: DOI
Huang, Zheng-Hai; Qi, Liqun; Sun, Defeng Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP. (English) Zbl 1168.90646 Math. Program. 99, No. 3 (A), 423-441 (2004). MSC: 90C53 90C33 65K10 PDFBibTeX XMLCite \textit{Z.-H. Huang} et al., Math. Program. 99, No. 3 (A), 423--441 (2004; Zbl 1168.90646) Full Text: DOI
Pang, Jong-Shi; Sun, Defeng; Sun, Jie Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems. (English) Zbl 1082.90115 Math. Oper. Res. 28, No. 1, 39-63 (2003). MSC: 90C31 90C22 90C33 PDFBibTeX XMLCite \textit{J.-S. Pang} et al., Math. Oper. Res. 28, No. 1, 39--63 (2003; Zbl 1082.90115) Full Text: DOI Link
Zhou, G.; Toh, K. C.; Sun, D. Globally and quadratically convergent algorithm for minimizing the sum of Euclidean norms. (English) Zbl 1055.90057 J. Optimization Theory Appl. 119, No. 2, 357-377 (2003). MSC: 90C20 65K05 90C33 PDFBibTeX XMLCite \textit{G. Zhou} et al., J. Optim. Theory Appl. 119, No. 2, 357--377 (2003; Zbl 1055.90057) Full Text: DOI
Chen, X. D.; Sun, D.; Sun, J. Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems. (English) Zbl 1038.90084 Comput. Optim. Appl. 25, No. 1-3, 39-56 (2003). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{X. D. Chen} et al., Comput. Optim. Appl. 25, No. 1--3, 39--56 (2003; Zbl 1038.90084) Full Text: DOI
Sun, Defeng; Womersley, Robert S.; Qi, Houduo A feasible semismooth asymptotically Newton method for mixed complementarity problems. (English) Zbl 1023.90068 Math. Program. 94, No. 1 (A), 167-187 (2002). MSC: 90C33 90C56 90C53 49M15 65H10 PDFBibTeX XMLCite \textit{D. Sun} et al., Math. Program. 94, No. 1 (A), 167--187 (2002; Zbl 1023.90068) Full Text: DOI
Qi, L.; Sun, D. Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. (English) Zbl 1032.49017 J. Optimization Theory Appl. 113, No. 1, 121-147 (2002). MSC: 49J40 90C33 90C53 90C30 PDFBibTeX XMLCite \textit{L. Qi} and \textit{D. Sun}, J. Optim. Theory Appl. 113, No. 1, 121--147 (2002; Zbl 1032.49017) Full Text: DOI
Zhao, Yunbin; Sun, Defeng Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems. (English) Zbl 1047.49014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 6, 853-868 (2001). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 49J40 47J20 90C33 90C48 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{D. Sun}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 6, 853--868 (2001; Zbl 1047.49014) Full Text: DOI
Qi, Liqun; Sun, Defeng; Zhou, Guanglu A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. (English) Zbl 0989.90124 Math. Program. 87, No. 1 (A), 1-35 (2000). MSC: 90C33 49J40 90C30 PDFBibTeX XMLCite \textit{L. Qi} et al., Math. Program. 87, No. 1 (A), 1--35 (2000; Zbl 0989.90124) Full Text: DOI
Qi, Liqun; Sun, Defeng Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. (English) Zbl 0947.90117 Math. Comput. 69, No. 229, 283-304 (2000). MSC: 90C33 90C30 65H10 90C51 PDFBibTeX XMLCite \textit{L. Qi} and \textit{D. Sun}, Math. Comput. 69, No. 229, 283--304 (2000; Zbl 0947.90117) Full Text: DOI
Sun, D. A regularization Newton method for solving nonlinear complementarity problems. (English) Zbl 0937.90110 Appl. Math. Optimization 40, No. 3, 315-339 (1999). MSC: 90C33 90C30 65H10 PDFBibTeX XMLCite \textit{D. Sun}, Appl. Math. Optim. 40, No. 3, 315--339 (1999; Zbl 0937.90110) Full Text: DOI
Sun, Defeng; Womersley, Robert S. A new unconstrained differentiable merit function for box constrained variational inequality problems and a damped Gauss-Newton method. (English) Zbl 0960.90086 SIAM J. Optim. 9, No. 2, 388-413 (1999). MSC: 90C33 90C30 65H10 PDFBibTeX XMLCite \textit{D. Sun} and \textit{R. S. Womersley}, SIAM J. Optim. 9, No. 2, 388--413 (1999; Zbl 0960.90086) Full Text: DOI
Sun, Defeng; Han, Jiye; Zhao, Yunbin The finite termination of the damped Newton algorithm for linear complementarity problems. (Chinese. English summary) Zbl 0958.90081 Acta Math. Appl. Sin. 21, No. 1, 148-154 (1998). MSC: 90C33 65K05 90C53 PDFBibTeX XMLCite \textit{D. Sun} et al., Acta Math. Appl. Sin. 21, No. 1, 148--154 (1998; Zbl 0958.90081)
Han, Jiye; Sun, Defeng Newton-type methods for variational inequalities. (English) Zbl 0908.90252 Yuan, Ya-xiang (ed.), Advances in nonlinear programming. Proceedings of the 96 international conference. Beijing, China, September 2–5, 1996. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 14, 105-118 (1998). MSC: 90C33 49J40 90C20 PDFBibTeX XMLCite \textit{J. Han} and \textit{D. Sun}, Appl. Optim. 14, 105--118 (1998; Zbl 0908.90252)
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng A trust region method for solving generalized complementarity problems. (English) Zbl 0911.90324 SIAM J. Optim. 8, No. 1, 140-157 (1998). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{H. Jiang} et al., SIAM J. Optim. 8, No. 1, 140--157 (1998; Zbl 0911.90324) Full Text: DOI
Chen, X.; Qi, L.; Sun, D. Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. (English) Zbl 0894.90143 Math. Comput. 67, No. 222, 519-540 (1998). MSC: 90C33 65H10 90C30 49J40 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Comput. 67, No. 222, 519--540 (1998; Zbl 0894.90143) Full Text: DOI
Han, J.; Sun, D. Newton and quasi-Newton methods for normal maps with polyhedral sets. (English) Zbl 0892.90164 J. Optimization Theory Appl. 94, No. 3, 659-676 (1997). MSC: 90C30 90C33 PDFBibTeX XMLCite \textit{J. Han} and \textit{D. Sun}, J. Optim. Theory Appl. 94, No. 3, 659--676 (1997; Zbl 0892.90164) Full Text: DOI
Sun, Defeng; Fukushima, Masao; Qi, Liqun A computable generalized Hessian of the \(D\)-gap function and Newton-type methods for variational inequality problems. (English) Zbl 0886.90165 Ferris, Michael C. (ed.) et al., Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1–4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 452-473 (1997). MSC: 90C33 49J40 90C30 PDFBibTeX XMLCite \textit{D. Sun} et al., in: Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1--4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 452--473 (1997; Zbl 0886.90165)
Han, Jiye; Sun, Defeng; Xu, Dachun A unified approach for the analysis of iterative methods for solving generalized complementarity problems. (Chinese. English summary) Zbl 0880.65042 Math. Numer. Sin. 19, No. 1, 11-18 (1997). Reviewer: H.T.Lau (Verdun/Quebec) MSC: 65K05 90C33 PDFBibTeX XMLCite \textit{J. Han} et al., Math. Numer. Sin. 19, No. 1, 11--18 (1997; Zbl 0880.65042)
Sun, Defeng; Han, Jiye Newton and quasi-Newton methods for a class of nonsmooth equations and related problems. (English) Zbl 0872.90087 SIAM J. Optim. 7, No. 2, 463-480 (1997). MSC: 90C30 90C33 PDFBibTeX XMLCite \textit{D. Sun} and \textit{J. Han}, SIAM J. Optim. 7, No. 2, 463--480 (1997; Zbl 0872.90087) Full Text: DOI
Sun, D. A class of iterative methods for solving nonlinear projection equations. (English) Zbl 0871.90091 J. Optimization Theory Appl. 91, No. 1, 123-140 (1996). MSC: 90C30 90C33 49J40 PDFBibTeX XMLCite \textit{D. Sun}, J. Optim. Theory Appl. 91, No. 1, 123--140 (1996; Zbl 0871.90091) Full Text: DOI
Sun, D. A new step-size skill for solving a class of nonlinear projection equations. (English) Zbl 0854.65048 J. Comput. Math. 13, No. 4, 357-368 (1995). Reviewer: E.Duca (Cluj-Napoca) MSC: 65K05 90C05 90C33 PDFBibTeX XMLCite \textit{D. Sun}, J. Comput. Math. 13, No. 4, 357--368 (1995; Zbl 0854.65048)
Sun, Defeng An iterative method for solving variational inequality problems and complementarity problems. (Chinese. English summary) Zbl 0817.65048 Numer. Math., Nanjing 16, No. 2, 145-153 (1994). Reviewer: F.Ling (Jersey City) MSC: 65K05 65K10 90C33 90C52 49J40 PDFBibTeX XMLCite \textit{D. Sun}, Numer. Math., Nanjing 16, No. 2, 145--153 (1994; Zbl 0817.65048)