Zheng, Xi Yin Variational analysis based on proximal subdifferential on smooth Banach spaces. (English) Zbl 07806030 Acta Math. Sin., Engl. Ser. 40, No. 2, 595-618 (2024). MSC: 49J52 49N15 90C30 PDFBibTeX XMLCite \textit{X. Y. Zheng}, Acta Math. Sin., Engl. Ser. 40, No. 2, 595--618 (2024; Zbl 07806030) Full Text: DOI
Li, Peng; Chen, Wen Gu; Sun, Qi Yu Inertial proximal ADMM for separable multi-block convex optimizations and compressive affine phase retrieval. (English) Zbl 1523.65054 Acta Math. Sin., Engl. Ser. 39, No. 8, 1459-1496 (2023). MSC: 65K10 42C15 52A41 65K05 90C25 94A12 PDFBibTeX XMLCite \textit{P. Li} et al., Acta Math. Sin., Engl. Ser. 39, No. 8, 1459--1496 (2023; Zbl 1523.65054) Full Text: DOI arXiv
Cai, Gang; Dong, Qiao Li; Peng, Yu Inertial viscosity iterative method for solving pseudo-monotone variational inequality problems and fixed point problems. (English) Zbl 1492.65176 Acta Math. Sin., Engl. Ser. 38, No. 5, 937-952 (2022). MSC: 65K15 47H10 47H05 65Y05 PDFBibTeX XMLCite \textit{G. Cai} et al., Acta Math. Sin., Engl. Ser. 38, No. 5, 937--952 (2022; Zbl 1492.65176) Full Text: DOI
Zong, Chun Xiang; Tang, Yu Chao; Zhang, Guo Feng An inertial semi-forward-reflected-backward splitting and its application. (English) Zbl 07490412 Acta Math. Sin., Engl. Ser. 38, No. 2, 443-464 (2022). MSC: 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{C. X. Zong} et al., Acta Math. Sin., Engl. Ser. 38, No. 2, 443--464 (2022; Zbl 07490412) Full Text: DOI
Qiu, Jing Hui Generalized Gerstewitz’s functions and vector variational principle for \(\epsilon\)-efficient solutions in the sense of Németh. (English) Zbl 1412.49041 Acta Math. Sin., Engl. Ser. 35, No. 3, 297-320 (2019). MSC: 49J53 58E30 65K10 46N10 PDFBibTeX XMLCite \textit{J. H. Qiu}, Acta Math. Sin., Engl. Ser. 35, No. 3, 297--320 (2019; Zbl 1412.49041) Full Text: DOI
Gu, Ran; Yuan, Ya Xiang A partial first-order affine-scaling method. (English) Zbl 1461.65153 Acta Math. Sin., Engl. Ser. 35, No. 1, 1-16 (2019). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{R. Gu} and \textit{Y. X. Yuan}, Acta Math. Sin., Engl. Ser. 35, No. 1, 1--16 (2019; Zbl 1461.65153) Full Text: DOI
Shi, Yue Yong; Jiao, Yu Ling; Cao, Yong Xiu; Liu, Yan Yan An alternating direction method of multipliers for MCP-penalized regression with high-dimensional data. (English) Zbl 1407.62263 Acta Math. Sin., Engl. Ser. 34, No. 12, 1892-1906 (2018). MSC: 62J05 62J07 65K05 90C26 PDFBibTeX XMLCite \textit{Y. Y. Shi} et al., Acta Math. Sin., Engl. Ser. 34, No. 12, 1892--1906 (2018; Zbl 1407.62263) Full Text: DOI
Pei, Yong Gang; Zhu, De Tong On the global convergence of a projective trust region algorithm for nonlinear equality constrained optimization. (English) Zbl 1414.90329 Acta Math. Sin., Engl. Ser. 34, No. 12, 1804-1828 (2018). MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{Y. G. Pei} and \textit{D. T. Zhu}, Acta Math. Sin., Engl. Ser. 34, No. 12, 1804--1828 (2018; Zbl 1414.90329) Full Text: DOI
Qiu, Jing Hui A revised pre-order principle and set-valued Ekeland variational principles with generalized distances. (English) Zbl 1376.49024 Acta Math. Sin., Engl. Ser. 33, No. 6, 775-792 (2017). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J53 90C48 65K10 46A03 PDFBibTeX XMLCite \textit{J. H. Qiu}, Acta Math. Sin., Engl. Ser. 33, No. 6, 775--792 (2017; Zbl 1376.49024) Full Text: DOI arXiv
Zhang, Rui Yan; Xu, Fang Fang; Huang, Jian Chao Reconstructing local volatility using total variation. (English) Zbl 1401.91470 Acta Math. Sin., Engl. Ser. 33, No. 2, 263-277 (2017). MSC: 91B70 49M25 65M32 PDFBibTeX XMLCite \textit{R. Y. Zhang} et al., Acta Math. Sin., Engl. Ser. 33, No. 2, 263--277 (2017; Zbl 1401.91470) Full Text: DOI
Qiu, Jing Hui An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems. (English) Zbl 1368.46070 Acta Math. Sin., Engl. Ser. 33, No. 2, 210-234 (2017). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46N10 49J40 46A03 91B50 PDFBibTeX XMLCite \textit{J. H. Qiu}, Acta Math. Sin., Engl. Ser. 33, No. 2, 210--234 (2017; Zbl 1368.46070) Full Text: DOI
Gu, Chao; Zhu, De Tong Global and local convergence of a new affine scaling trust region algorithm for linearly constrained optimization. (English) Zbl 1348.90573 Acta Math. Sin., Engl. Ser. 32, No. 10, 1203-1213 (2016). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{C. Gu} and \textit{D. T. Zhu}, Acta Math. Sin., Engl. Ser. 32, No. 10, 1203--1213 (2016; Zbl 1348.90573) Full Text: DOI
He, Fei; Qiu, Jing-Hui Sequentially lower complete spaces and Ekeland’s variational principle. (English) Zbl 1327.58020 Acta Math. Sin., Engl. Ser. 31, No. 8, 1289-1302 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E30 49J40 47H10 46N10 46A03 PDFBibTeX XMLCite \textit{F. He} and \textit{J.-H. Qiu}, Acta Math. Sin., Engl. Ser. 31, No. 8, 1289--1302 (2015; Zbl 1327.58020) Full Text: DOI
Zhang, Jian; Qiu, Jing Hui Vectorial variational principle with variable set-valued perturbation. (English) Zbl 1316.58013 Acta Math. Sin., Engl. Ser. 31, No. 4, 595-614 (2015). MSC: 58E30 46A03 65K10 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. H. Qiu}, Acta Math. Sin., Engl. Ser. 31, No. 4, 595--614 (2015; Zbl 1316.58013) Full Text: DOI
Achache, Mohamed Complexity analysis of an interior point algorithm for the semidefinite optimization based on a kernel function with a double barrier term. (English) Zbl 1308.65086 Acta Math. Sin., Engl. Ser. 31, No. 3, 543-556 (2015). MSC: 65K05 90C22 90C25 90C51 PDFBibTeX XMLCite \textit{M. Achache}, Acta Math. Sin., Engl. Ser. 31, No. 3, 543--556 (2015; Zbl 1308.65086) Full Text: DOI
Zhu, Zhi Bin; Zhu, Hua Li A filter method for nonlinear semidefinite programming with global convergence. (English) Zbl 1327.90187 Acta Math. Sin., Engl. Ser. 30, No. 10, 1810-1826 (2014). MSC: 90C22 65K05 PDFBibTeX XMLCite \textit{Z. B. Zhu} and \textit{H. L. Zhu}, Acta Math. Sin., Engl. Ser. 30, No. 10, 1810--1826 (2014; Zbl 1327.90187) Full Text: DOI
Wei, Zhou; He, Qing Hai Sufficient conditions for error bounds and linear regularity in Banach spaces. (English) Zbl 1322.90068 Acta Math. Sin., Engl. Ser. 30, No. 3, 423-436 (2014). MSC: 90C25 90C31 49J53 PDFBibTeX XMLCite \textit{Z. Wei} and \textit{Q. H. He}, Acta Math. Sin., Engl. Ser. 30, No. 3, 423--436 (2014; Zbl 1322.90068) Full Text: DOI
Yuan, Ya Xiang Analysis on a superlinearly convergent augmented Lagrangian method. (English) Zbl 1292.90287 Acta Math. Sin., Engl. Ser. 30, No. 1, 1-10 (2014). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{Y. X. Yuan}, Acta Math. Sin., Engl. Ser. 30, No. 1, 1--10 (2014; Zbl 1292.90287) Full Text: DOI
Qiu, Jing Hui; He, Fei A general vectorial Ekeland’s variational principle with a P-distance. (English) Zbl 1280.58009 Acta Math. Sin., Engl. Ser. 29, No. 9, 1655-1678 (2013). MSC: 58E30 49J40 46N10 46A03 PDFBibTeX XMLCite \textit{J. H. Qiu} and \textit{F. He}, Acta Math. Sin., Engl. Ser. 29, No. 9, 1655--1678 (2013; Zbl 1280.58009) Full Text: DOI
Wang, Xiao A trust region affine scaling method for bound constrained optimization. (English) Zbl 1268.65083 Acta Math. Sin., Engl. Ser. 29, No. 1, 159-182 (2013). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{X. Wang}, Acta Math. Sin., Engl. Ser. 29, No. 1, 159--182 (2013; Zbl 1268.65083) 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
Zhang, Ming Wang A large-update interior-point algorithm for convex quadratic semi-definite optimization based on a new kernel function. (English) Zbl 1254.90158 Acta Math. Sin., Engl. Ser. 28, No. 11, 2313-2328 (2012). MSC: 90C22 90C25 90C33 PDFBibTeX XMLCite \textit{M. W. Zhang}, Acta Math. Sin., Engl. Ser. 28, No. 11, 2313--2328 (2012; Zbl 1254.90158) Full Text: DOI
Li, Yuanmin; Wang, Xingtao; Wei, Deyun Complementarity properties of the Lyapunov transformation over symmetric cones. (English) Zbl 1264.90168 Acta Math. Sin., Engl. Ser. 28, No. 7, 1431-1442 (2012). Reviewer: Olaf Ninnemann (Berlin) MSC: 90C33 17C55 PDFBibTeX XMLCite \textit{Y. Li} et al., Acta Math. Sin., Engl. Ser. 28, No. 7, 1431--1442 (2012; Zbl 1264.90168) Full Text: DOI
Chen, Hua Ping; Zhang, Ming Wang A class of new large-update primal-dual interior-point algorithms for \(P_\ast(\kappa)\) nonlinear complementarity problems. (English) Zbl 1268.90098 Acta Math. Sin., Engl. Ser. 27, No. 10, 1979-1994 (2011). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{H. P. Chen} and \textit{M. W. Zhang}, Acta Math. Sin., Engl. Ser. 27, No. 10, 1979--1994 (2011; Zbl 1268.90098) Full Text: DOI
Jian, Jin Bao; Han, Dao Lan; Xu, Qing Juan A new sequential systems of linear equations algorithm of feasible descent for inequality constrained optimization. (English) Zbl 1233.90256 Acta Math. Sin., Engl. Ser. 26, No. 12, 2399-2420 (2010). MSC: 90C30 49M37 65K05 65K10 PDFBibTeX XMLCite \textit{J. B. Jian} et al., Acta Math. Sin., Engl. Ser. 26, No. 12, 2399--2420 (2010; Zbl 1233.90256) Full Text: DOI
Peyghami, M. Reza; Amini, Keyvan A kernel function based interior-point methods for solving \(P_{*}(\kappa )\)-linear complementarity problem. (English) Zbl 1206.90195 Acta Math. Sin., Engl. Ser. 26, No. 9, 1761-1778 (2010). MSC: 90C33 90C51 90C05 PDFBibTeX XMLCite \textit{M. R. Peyghami} and \textit{K. Amini}, Acta Math. Sin., Engl. Ser. 26, No. 9, 1761--1778 (2010; Zbl 1206.90195) Full Text: DOI
Bai, Yan Qin; Guo, Jin Li; Roos, Cornelis A new kernel function yielding the best known iteration bounds for primal-dual interior-point algorithms. (English) Zbl 1184.90099 Acta Math. Sin., Engl. Ser. 25, No. 12, 2169-2178 (2009). MSC: 90C05 90C51 PDFBibTeX XMLCite \textit{Y. Q. Bai} et al., Acta Math. Sin., Engl. Ser. 25, No. 12, 2169--2178 (2009; Zbl 1184.90099) 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
Bai, Yan Qin; Wang, Guo Qiang Primal-dual interior-point algorithms for second-order cone optimization based on a new parametric kernel function. (English) Zbl 1169.90483 Acta Math. Sin., Engl. Ser. 23, No. 11, 2027-2042 (2007). MSC: 90C51 60K05 90C25 PDFBibTeX XMLCite \textit{Y. Q. Bai} and \textit{G. Q. Wang}, Acta Math. Sin., Engl. Ser. 23, No. 11, 2027--2042 (2007; Zbl 1169.90483) Full Text: DOI
Zhang, Li Ping; Xing, Wen Xun On the finite convergence of Newton-type methods for \(P_{0}\) affine variational inequalities. (English) Zbl 1129.90055 Acta Math. Sin., Engl. Ser. 23, No. 9, 1553-1562 (2007). MSC: 90C33 49J40 90C30 49J52 PDFBibTeX XMLCite \textit{L. P. Zhang} and \textit{W. X. Xing}, Acta Math. Sin., Engl. Ser. 23, No. 9, 1553--1562 (2007; Zbl 1129.90055) Full Text: DOI
Xu, Feng Min; Xu, Cheng Xian; Li, Xing Si A continuation algorithm for max-cut problem. (English) Zbl 1117.90049 Acta Math. Sin., Engl. Ser. 23, No. 7, 1257-1264 (2007). MSC: 90C06 90C27 90C30 PDFBibTeX XMLCite \textit{F. M. Xu} et al., Acta Math. Sin., Engl. Ser. 23, No. 7, 1257--1264 (2007; Zbl 1117.90049) Full Text: DOI
Yin, Hong Xia; Du, Dong Lei The global convergence of self-scaling BFGS algorithm with non-monotone line search for unconstrained nonconvex optimization problems. (English) Zbl 1125.90051 Acta Math. Sin., Engl. Ser. 23, No. 7, 1233-1240 (2007). Reviewer: David Bulger (Sydney) MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{H. X. Yin} and \textit{D. L. Du}, Acta Math. Sin., Engl. Ser. 23, No. 7, 1233--1240 (2007; Zbl 1125.90051) Full Text: DOI
Penot, Jean-Paul; Ratsimahalo, Robert Subdifferentials of distance functions, approximations and enlargements. (English) Zbl 1113.49019 Acta Math. Sin., Engl. Ser. 23, No. 3, 507-520 (2007). MSC: 49J52 49J50 58C20 46B20 46N10 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{R. Ratsimahalo}, Acta Math. Sin., Engl. Ser. 23, No. 3, 507--520 (2007; Zbl 1113.49019) Full Text: DOI
Ye, Xintao; Li, Chong On basic constraint qualifications for infinite system of convex Inequalities in Banach spaces. (English) Zbl 1151.90564 Acta Math. Sin., Engl. Ser. 23, No. 1, 65-76 (2007). MSC: 90C34 90C25 41A65 52A27 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. Li}, Acta Math. Sin., Engl. Ser. 23, No. 1, 65--76 (2007; Zbl 1151.90564) Full Text: DOI
Huang, X. X.; Teo, K. L.; Yang, X. Q. Approximate augmented Lagrangian functions and nonlinear semidefinite programs. (English) Zbl 1126.90057 Acta Math. Sin., Engl. Ser. 22, No. 5, 1283-1286 (2006). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C22 90C30 PDFBibTeX XMLCite \textit{X. X. Huang} et al., Acta Math. Sin., Engl. Ser. 22, No. 5, 1283--1286 (2006; Zbl 1126.90057) Full Text: DOI
Zhang, Liping; Han, Jiye; Huang, Zhenghai Superlinear/quadratic one-step smoothing Newton method for \(P_0\)-NCP. (English) Zbl 1124.90037 Acta Math. Sin., Engl. Ser. 21, No. 1, 117-128 (2005). MSC: 90C30 90C33 65H10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Acta Math. Sin., Engl. Ser. 21, No. 1, 117--128 (2005; Zbl 1124.90037) Full Text: DOI
Bürmen, Árpád; Bratkovič, Franc; Puhan, Janez; Fajfar, Iztok; Tuma, Tadej Extended global convergence framework for unconstrained optimization. (English) Zbl 1069.90114 Acta Math. Sin., Engl. Ser. 20, No. 3, 433-440 (2004). MSC: 90C56 90C30 49M30 65K05 PDFBibTeX XMLCite \textit{Á. Bürmen} et al., Acta Math. Sin., Engl. Ser. 20, No. 3, 433--440 (2004; Zbl 1069.90114) Full Text: DOI