Yin, Jianghua; Jian, Jinbao; Ma, Guodong A modified inexact Levenberg-Marquardt method with the descent property for solving nonlinear equations. (English) Zbl 07790998 Comput. Optim. Appl. 87, No. 1, 289-322 (2024). MSC: 90Cxx 90C30 65K05 PDFBibTeX XMLCite \textit{J. Yin} et al., Comput. Optim. Appl. 87, No. 1, 289--322 (2024; Zbl 07790998) Full Text: DOI
Yin, Jianghua; Jian, Jinbao; Jiang, Xianzhen; Wu, Jiansheng; Ma, Guodong A proximal fully parallel splitting method with a relaxation factor for separable convex programming. (English) Zbl 07763846 Appl. Numer. Math. 195, 17-38 (2024). MSC: 90C25 PDFBibTeX XMLCite \textit{J. Yin} et al., Appl. Numer. Math. 195, 17--38 (2024; Zbl 07763846) Full Text: DOI
Jian, Jinbao; Cui, Donglei; Ma, Guodong; Yin, Jianghua A symmetric splitting sequential quadratic optimization algorithm for two-block nonlinearly constrained nonconvex optimization. (English) Zbl 1524.65220 J. Ind. Manag. Optim. 19, No. 11, 8365-8388 (2023). MSC: 65K05 90C06 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{J. Jian} et al., J. Ind. Manag. Optim. 19, No. 11, 8365--8388 (2023; Zbl 1524.65220) Full Text: DOI
Ma, Guodong; Jin, Jiachen; Jian, Jinbao; Yin, Jianghua; Han, Daolan A modified inertial three-term conjugate gradient projection method for constrained nonlinear equations with applications in compressed sensing. (English) Zbl 07676496 Numer. Algorithms 92, No. 3, 1621-1653 (2023). MSC: 65K05 90C56 68U10 PDFBibTeX XMLCite \textit{G. Ma} et al., Numer. Algorithms 92, No. 3, 1621--1653 (2023; Zbl 07676496) Full Text: DOI
Jian, Jinbao; Zhang, Chen; Liu, Pengjie A superlinearly convergent splitting feasible sequential quadratic optimization method for two-block large-scale smooth optimization. (English) Zbl 1513.90178 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 1-24 (2023). MSC: 90C30 49M27 65K05 90C26 PDFBibTeX XMLCite \textit{J. Jian} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 1--24 (2023; Zbl 1513.90178) Full Text: DOI
Liu, Mei-xing; Jian, Jin-bao; Tang, Chun-ming A method combining norm-relaxed QCQP subproblems with active set identification for inequality constrained optimization. (English) Zbl 1489.90187 Optimization 71, No. 6, 1525-1555 (2022). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{M.-x. Liu} et al., Optimization 71, No. 6, 1525--1555 (2022; Zbl 1489.90187) Full Text: DOI
Jian, Jinbao; Liu, Pengjie; Yin, Jianghua; Zhang, Chen; Chao, Miantao A QCQP-based splitting SQP algorithm for two-block nonconvex constrained optimization problems with application. (English) Zbl 1459.90164 J. Comput. Appl. Math. 390, Article ID 113368, 24 p. (2021). MSC: 90C26 90C55 49M27 65K05 PDFBibTeX XMLCite \textit{J. Jian} et al., J. Comput. Appl. Math. 390, Article ID 113368, 24 p. (2021; Zbl 1459.90164) Full Text: DOI
Liu, Meixing; Jian, Jinbao An ADMM-based SQP method for separably smooth nonconvex optimization. (English) Zbl 1503.65125 J. Inequal. Appl. 2020, Paper No. 81, 17 p. (2020). MSC: 65K05 65K10 90C30 90C25 90C26 PDFBibTeX XMLCite \textit{M. Liu} and \textit{J. Jian}, J. Inequal. Appl. 2020, Paper No. 81, 17 p. (2020; Zbl 1503.65125) Full Text: DOI
Li, Jian-ling; Yang, Zhen-ping; Wu, Jia-qi; Jian, Jin-bao A new QP-free algorithm without a penalty function or a filter for nonlinear semidefinite programming. (English) Zbl 1466.90068 Acta Math. Appl. Sin., Engl. Ser. 36, No. 3, 714-736 (2020). MSC: 90C22 65K05 PDFBibTeX XMLCite \textit{J.-l. Li} et al., Acta Math. Appl. Sin., Engl. Ser. 36, No. 3, 714--736 (2020; Zbl 1466.90068) Full Text: DOI
Jian, Jinbao; Zhang, Chen; Yin, Jianghua; Yang, Linfeng; Ma, Guodong Monotone splitting sequential quadratic optimization algorithm with applications in electric power systems. (English) Zbl 1461.65160 J. Optim. Theory Appl. 186, No. 1, 226-247 (2020). MSC: 65K05 90C06 90C26 90C55 PDFBibTeX XMLCite \textit{J. Jian} et al., J. Optim. Theory Appl. 186, No. 1, 226--247 (2020; Zbl 1461.65160) Full Text: DOI
Tang, Chunming; Lv, Jinman; Jian, Jinbao An alternating linearization bundle method for a class of nonconvex nonsmooth optimization problems. (English) Zbl 1497.90158 J. Inequal. Appl. 2018, Paper No. 101, 23 p. (2018). MSC: 90C26 65K05 90C30 90C25 49J52 PDFBibTeX XMLCite \textit{C. Tang} et al., J. Inequal. Appl. 2018, Paper No. 101, 23 p. (2018; Zbl 1497.90158) Full Text: DOI
Li, Jian-Ling; Yang, Zhen-Ping; Jian, Jin-Bao A globally convergent QP-free algorithm for nonlinear semidefinite programming. (English) Zbl 1365.90241 J. Inequal. Appl. 2017, Paper No. 145, 21 p. (2017). MSC: 90C30 90C22 PDFBibTeX XMLCite \textit{J.-L. Li} et al., J. Inequal. Appl. 2017, Paper No. 145, 21 p. (2017; Zbl 1365.90241) Full Text: DOI
Li, Jianling; Huang, Renshuai; Jian, Jinbao A superlinearly convergent QP-free algorithm for mathematical programs with equilibrium constraints. (English) Zbl 1410.90216 Appl. Math. Comput. 269, 885-903 (2015). MSC: 90C33 65K05 90C30 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Comput. 269, 885--903 (2015; Zbl 1410.90216) Full Text: DOI
Liu, Yi; Jian, Jin-Bao; Zhu, Zhi-Bin New active set identification for general constrained optimization and minimax problems. (English) Zbl 1310.90119 J. Math. Anal. Appl. 421, No. 2, 1405-1416 (2015). MSC: 90C47 90C30 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Math. Anal. Appl. 421, No. 2, 1405--1416 (2015; Zbl 1310.90119) Full Text: DOI
Jian, Jin-bao; Chen, Qiao-fang; Huang, Zong-wen A superlinearly convergent SQP method without boundedness assumptions on any of the iterative sequences. (English) Zbl 1298.90107 J. Comput. Appl. Math. 263, 115-128 (2014). MSC: 90C30 90C25 65K10 PDFBibTeX XMLCite \textit{J.-b. Jian} et al., J. Comput. Appl. Math. 263, 115--128 (2014; Zbl 1298.90107) Full Text: DOI
Jian, Jin-Bao; Mo, Xing-De; Qiu, Li-Juan; Yang, Su-Ming; Wang, Fu-Sheng Simple sequential quadratically constrained quadratic programming feasible algorithm with active identification sets for constrained minimax problems. (English) Zbl 1316.90061 J. Optim. Theory Appl. 160, No. 1, 158-188 (2014). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90C47 49M05 49M15 49M37 49K35 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., J. Optim. Theory Appl. 160, No. 1, 158--188 (2014; Zbl 1316.90061) Full Text: DOI
Wang, Fu-Sheng; Jian, Jin-Bao A new nonmonotone linesearch SQP algorithm for unconstrained minimax problem. (English) Zbl 1291.90304 Numer. Funct. Anal. Optim. 35, No. 4, 487-508 (2014). MSC: 90C47 90C55 90C30 65K05 49K35 PDFBibTeX XMLCite \textit{F.-S. Wang} and \textit{J.-B. Jian}, Numer. Funct. Anal. Optim. 35, No. 4, 487--508 (2014; Zbl 1291.90304) Full Text: DOI
Xu, Qing-Juan; Jian, Jin-Bao A nonlinear norm-relaxed method for finely discretized semi-infinite optimization problems. (English) Zbl 1281.90077 Nonlinear Dyn. 73, No. 1-2, 85-92 (2013). MSC: 90C34 93C10 65K05 PDFBibTeX XMLCite \textit{Q.-J. Xu} and \textit{J.-B. Jian}, Nonlinear Dyn. 73, No. 1--2, 85--92 (2013; Zbl 1281.90077) Full Text: DOI
Jian, Jin-Bao; Yang, Su-Min; Tang, Chun-Ming A simply sequential quadratically constrained quadratic programming method of strongly sub-feasible directions for constrained optimization. (English) Zbl 1273.90202 Optimization 62, No. 4, 463-482 (2013). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., Optimization 62, No. 4, 463--482 (2013; Zbl 1273.90202) Full Text: DOI
Zhu, Zhi Bin; Jian, Jin Bao An improved feasible QP-free algorithm for inequality constrained optimization. (English) Zbl 1287.90073 Acta Math. Sin., Engl. Ser. 28, No. 12, 2475-2488 (2012). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{Z. B. Zhu} and \textit{J. B. Jian}, Acta Math. Sin., Engl. Ser. 28, No. 12, 2475--2488 (2012; Zbl 1287.90073) Full Text: DOI
Tang, Chun-Ming; Jian, Jin-Bao Strongly sub-feasible direction method for constrained optimization problems with nonsmooth objective functions. (English) Zbl 1244.90225 Eur. J. Oper. Res. 218, No. 1, 28-37 (2012). MSC: 90C30 90C56 PDFBibTeX XMLCite \textit{C.-M. Tang} and \textit{J.-B. Jian}, Eur. J. Oper. Res. 218, No. 1, 28--37 (2012; Zbl 1244.90225) Full Text: DOI
Tang, Chun-Ming; Jian, Jin-Bao; Li, Guo-Yin A working set SQCQP algorithm with simple nonmonotone penalty parameters. (English) Zbl 1236.65069 J. Comput. Appl. Math. 236, No. 6, 1382-1398 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K05 PDFBibTeX XMLCite \textit{C.-M. Tang} et al., J. Comput. Appl. Math. 236, No. 6, 1382--1398 (2011; Zbl 1236.65069) Full Text: DOI
Jian, Jinbao; Ma, Guodong; Guo, Chuanhao A new \(\varepsilon \)-generalized projection method of strongly sub-feasible directions for inequality constrained optimization. (English) Zbl 1254.90230 J. Syst. Sci. Complex. 24, No. 3, 604-618 (2011). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Jian} et al., J. Syst. Sci. Complex. 24, No. 3, 604--618 (2011; Zbl 1254.90230) Full Text: DOI
Han, Dao-Lan; Jian, Jin-Bao; Li, Jie On the accurate identification of active set for constrained minimax problems. (English) Zbl 1235.90150 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 3022-3032 (2011). MSC: 90C30 90C33 90C31 65K05 PDFBibTeX XMLCite \textit{D.-L. Han} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 3022--3032 (2011; Zbl 1235.90150) Full Text: DOI
Jian, Jin-Bao; Tang, Chun-Ming; Zheng, Hai-Yan Sequential quadratically constrained quadratic programming norm-relaxed algorithm of strongly sub-feasible directions. (English) Zbl 1177.90307 Eur. J. Oper. Res. 200, No. 3, 645-657 (2010). MSC: 90C20 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., Eur. J. Oper. Res. 200, No. 3, 645--657 (2010; Zbl 1177.90307) Full Text: DOI
Jian, Jin-Bao; Chao, Mian-Tao A sequential quadratically constrained quadratic programming method for unconstrained minimax problems. (English) Zbl 1206.90213 J. Math. Anal. Appl. 362, No. 1, 34-45 (2010). MSC: 90C47 90C55 PDFBibTeX XMLCite \textit{J.-B. Jian} and \textit{M.-T. Chao}, J. Math. Anal. Appl. 362, No. 1, 34--45 (2010; Zbl 1206.90213) Full Text: DOI
Zhu, Zhibin; Jian, Jinbao An efficient feasible SQP algorithm for inequality constrained optimization. (English) Zbl 1167.90652 Nonlinear Anal., Real World Appl. 10, No. 2, 1220-1228 (2009). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{J. Jian}, Nonlinear Anal., Real World Appl. 10, No. 2, 1220--1228 (2009; Zbl 1167.90652) Full Text: DOI
Zhu, Zhi-bin; Jian, Jin-bao; Zhang, Cong An SQP algorithm for mathematical programs with nonlinear complementarity constraints. (English) Zbl 1177.90381 Appl. Math. Mech., Engl. Ed. 30, No. 5, 659-668 (2009). Reviewer: Serghey G. Suvorov (Donetsk) MSC: 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{Z.-b. Zhu} et al., Appl. Math. Mech., Engl. Ed. 30, No. 5, 659--668 (2009; Zbl 1177.90381) Full Text: DOI
Jian, Jin-Bao; Zhang, Xue-Lu; Quan, Ran; Ma, Qing Generalized monotone line search SQP algorithm for constrained minimax problems. (English) Zbl 1158.90404 Optimization 58, No. 1, 101-131 (2009). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., Optimization 58, No. 1, 101--131 (2009; Zbl 1158.90404) Full Text: DOI
Jian, Jinbao A quadratically approximate framework for constrained optimization, global and local convergence. (English) Zbl 1191.90068 Acta Math. Sin., Engl. Ser. 24, No. 5, 771-788 (2008). MSC: 90C55 90C30 49M30 PDFBibTeX XMLCite \textit{J. Jian}, Acta Math. Sin., Engl. Ser. 24, No. 5, 771--788 (2008; Zbl 1191.90068) Full Text: DOI
Tang, Chun-Ming; Jian, Jin-Bao A sequential quadratically constrained quadratic programming method with an augmented Lagrangian line search function. (English) Zbl 1148.65045 J. Comput. Appl. Math. 220, No. 1-2, 525-547 (2008). Reviewer: Maciek Korzec (Berlin) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{C.-M. Tang} and \textit{J.-B. Jian}, J. Comput. Appl. Math. 220, No. 1--2, 525--547 (2008; Zbl 1148.65045) Full Text: DOI
Jian, Jin-Bao; Zhang, Xue-Lu; Quan, Ran A new finitely convergent algorithm for systems of nonlinear inequalities. (English) Zbl 1158.65323 Appl. Math. Lett. 20, No. 4, 405-411 (2007). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., Appl. Math. Lett. 20, No. 4, 405--411 (2007; Zbl 1158.65323) Full Text: DOI
Jian, Jin-bao; Hu, Qing-jie; Tang, Chun-ming; Zheng, Hai-yan A sequential quadratically constrained quadratic programming method of feasible directions. (English) Zbl 1144.90025 Appl. Math. Optimization 56, No. 3, 343-363 (2007). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{J.-b. Jian} et al., Appl. Math. Optim. 56, No. 3, 343--363 (2007; Zbl 1144.90025) Full Text: DOI
Jian, Jin-Bao; Cheng, Wei-Xin; Ke, Xiao-Yan Finitely convergent \(\varepsilon\)-generalized projection algorithm for nonlinear systems. (English) Zbl 1123.65062 J. Math. Anal. Appl. 332, No. 2, 1446-1459 (2007). MSC: 65K10 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., J. Math. Anal. Appl. 332, No. 2, 1446--1459 (2007; Zbl 1123.65062) Full Text: DOI
Jian, J. B. New sequential quadratically-constrained quadratic programming method of feasible directions and its convergence rate. (English) Zbl 1139.90033 J. Optim. Theory Appl. 129, No. 1, 109-130 (2006). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{J. B. Jian}, J. Optim. Theory Appl. 129, No. 1, 109--130 (2006; Zbl 1139.90033) Full Text: DOI
Li, Jian-Ling; Jian, Jin-Bao A superlinearly convergent SSLE algorithm for optimization problems with linear complementarity constraints. (English) Zbl 1097.90063 J. Glob. Optim. 33, No. 4, 477-510 (2005). MSC: 90C33 PDFBibTeX XMLCite \textit{J.-L. Li} and \textit{J.-B. Jian}, J. Glob. Optim. 33, No. 4, 477--510 (2005; Zbl 1097.90063) Full Text: DOI
Jian, Jinbao A superlinearly convergent implicit smooth SQP algorithm for mathematical programs with nonlinear complementarity constraints. (English) Zbl 1122.90095 Comput. Optim. Appl. 31, No. 3, 335-361 (2005). MSC: 90C55 90C33 PDFBibTeX XMLCite \textit{J. Jian}, Comput. Optim. Appl. 31, No. 3, 335--361 (2005; Zbl 1122.90095) Full Text: DOI
Jian, Jin-Bao; Tang, Chun-Ming An SQP feasible descent algorithm for nonlinear inequality constrained optimization without strict complementarity. (English) Zbl 1075.90072 Comput. Math. Appl. 49, No. 2-3, 223-238 (2005). MSC: 90C35 90C55 PDFBibTeX XMLCite \textit{J.-B. Jian} and \textit{C.-M. Tang}, Comput. Math. Appl. 49, No. 2--3, 223--238 (2005; Zbl 1075.90072) Full Text: DOI
Jian, Jin-Bao A new feasible descent algorithm combining SQP with generalized projection for optimization problems without strict complementarity. (English) Zbl 1058.90077 Appl. Math. Comput. 162, No. 3, 1065-1081 (2005). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{J.-B. Jian}, Appl. Math. Comput. 162, No. 3, 1065--1081 (2005; Zbl 1058.90077) Full Text: DOI
Jian, Jinbao A generalized projection-successive linear equations algorithm for nonlinearly equality and inequality constrained optimization and its rate of convergence. (English) Zbl 0888.90133 Appl. Math., Ser. B (Engl. Ed.) 12, No. 3, 343-354 (1997). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{J. Jian}, Appl. Math., Ser. B (Engl. Ed.) 12, No. 3, 343--354 (1997; Zbl 0888.90133) Full Text: DOI