Ma, Xiaojun; Liu, Hongwei Inertial relaxed CQ algorithm for split feasibility problems with non-Lipschitz gradient operators. (English) Zbl 1517.47103 Optimization 72, No. 5, 1239-1260 (2023). MSC: 47J25 47J20 65K05 65K10 PDFBibTeX XMLCite \textit{X. Ma} and \textit{H. Liu}, Optimization 72, No. 5, 1239--1260 (2023; Zbl 1517.47103) Full Text: DOI
Ma, Xiaojun; Liu, Hongwei An inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces. (English) Zbl 07532901 J. Appl. Math. Comput. 68, No. 3, 1699-1717 (2022). MSC: 47J20 65K05 65K10 47J25 PDFBibTeX XMLCite \textit{X. Ma} and \textit{H. Liu}, J. Appl. Math. Comput. 68, No. 3, 1699--1717 (2022; Zbl 07532901) Full Text: DOI
Wang, Ting; Liu, Hongwei Convergence results of a new monotone inertial forward-backward splitting algorithm under the local Hölder error bound condition. (English) Zbl 1490.90223 Appl. Math. Optim. 85, No. 2, Paper No. 7, 41 p. (2022). MSC: 90C25 65K10 94A12 94A08 68U10 PDFBibTeX XMLCite \textit{T. Wang} and \textit{H. Liu}, Appl. Math. Optim. 85, No. 2, Paper No. 7, 41 p. (2022; Zbl 1490.90223) Full Text: DOI
Liu, Zexian; Liu, Hongwei; Dai, Yu-Hong An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1433.90126 Comput. Optim. Appl. 75, No. 1, 145-167 (2020). MSC: 90C26 65K10 90C53 90C06 65Y20 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Optim. Appl. 75, No. 1, 145--167 (2020; Zbl 1433.90126) Full Text: DOI
Zhao, Huali; Liu, Hongwei Infeasible Mehrotra-type predictor-corrector algorithm for Cartesian \(P_\ast(\kappa )\) nonlinear complementarity problems over symmetric cones. (English) Zbl 1499.90258 Int. J. Comput. Math. 96, No. 3, 457-473 (2019). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{H. Liu}, Int. J. Comput. Math. 96, No. 3, 457--473 (2019; Zbl 1499.90258) Full Text: DOI
Wang, Weiwei; Liu, Hongwei; Bi, Hongmei A modified infeasible interior-point algorithm with full-Newton step for semidefinite optimization. (English) Zbl 1499.65234 Int. J. Comput. Math. 96, No. 10, 1979-1992 (2019). MSC: 65K05 90C22 90C51 PDFBibTeX XMLCite \textit{W. Wang} et al., Int. J. Comput. Math. 96, No. 10, 1979--1992 (2019; Zbl 1499.65234) Full Text: DOI
Wang, Ting; Liu, Zexian; Liu, Hongwei A new subspace minimization conjugate gradient method based on tensor model for unconstrained optimization. (English) Zbl 1499.90232 Int. J. Comput. Math. 96, No. 10, 1924-1942 (2019). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{T. Wang} et al., Int. J. Comput. Math. 96, No. 10, 1924--1942 (2019; Zbl 1499.90232) Full Text: DOI
Li, Qipeng; Liu, Hongwei; Liu, Zexian Fast first-order methods for minimizing convex composite functions. (English) Zbl 1463.90163 J. Harbin Inst. Technol. (N.S.) 26, No. 6, 46-52 (2019). MSC: 90C25 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Harbin Inst. Technol. (N.S.) 26, No. 6, 46--52 (2019; Zbl 1463.90163) Full Text: DOI
Chu, Wangli; Liu, Hongwei; Liu, Zexian Non-monotone cubic regularization BB algorithm for unconstrained optimization. (Chinese. English summary) Zbl 1449.90324 J. Jilin Univ., Sci. 57, No. 6, 1357-1366 (2019). MSC: 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{W. Chu} et al., J. Jilin Univ., Sci. 57, No. 6, 1357--1366 (2019; Zbl 1449.90324) Full Text: DOI
Wang, Weiwei; Liu, Hongwei; Bi, Hongmei Simplified full Nesterov-Todd step infeasible interior-point algorithm for semidefinite optimization based on a kernel function. (English) Zbl 1418.90283 J. Appl. Math. Comput. 59, No. 1-2, 445-463 (2019). MSC: 90C51 90C22 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Appl. Math. Comput. 59, No. 1--2, 445--463 (2019; Zbl 1418.90283) Full Text: DOI
Liu, Zexian; Liu, Hongwei An efficient gradient method with approximately optimal stepsize based on tensor model for unconstrained optimization. (English) Zbl 1420.90035 J. Optim. Theory Appl. 181, No. 2, 608-633 (2019). MSC: 90C06 90C52 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{H. Liu}, J. Optim. Theory Appl. 181, No. 2, 608--633 (2019; Zbl 1420.90035) Full Text: DOI arXiv
Zhao, Huali; Liu, Hongwei Infeasible path-following interior point algorithm for Cartesian \(P_\ast(\kappa )\) nonlinear complementarity problems over symmetric cones. (English) Zbl 1499.90257 Int. J. Comput. Math. 95, No. 5, 845-869 (2018). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{H. Liu}, Int. J. Comput. Math. 95, No. 5, 845--869 (2018; Zbl 1499.90257) Full Text: DOI
Wang, Weiwei; Liu, Hongwei; Bi, Hongmei Simplified infeasible interior-point algorithm for linear optimization based on a simple function. (English) Zbl 1476.90351 Oper. Res. Lett. 46, No. 5, 538-542 (2018). MSC: 90C51 90C05 PDFBibTeX XMLCite \textit{W. Wang} et al., Oper. Res. Lett. 46, No. 5, 538--542 (2018; Zbl 1476.90351) Full Text: DOI
Yang, Jun; Liu, Hongwei; Zhang, Zhe A projection algorithm for solving pseudomonotone variational inequalities. (Chinese. English summary) Zbl 1438.90367 Pure Appl. Math. 34, No. 4, 373-381 (2018). MSC: 90C33 65K15 PDFBibTeX XMLCite \textit{J. Yang} et al., Pure Appl. Math. 34, No. 4, 373--381 (2018; Zbl 1438.90367) Full Text: DOI
Zhao, Huali; Liu, Hongwei Iterative complexities of a class of homogeneous algorithms for monotone nonlinear complementarity problems over symmetric cones. (English) Zbl 1414.90341 Optimization 67, No. 9, 1505-1521 (2018). MSC: 90C33 90C51 90C25 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{H. Liu}, Optimization 67, No. 9, 1505--1521 (2018; Zbl 1414.90341) Full Text: DOI
Li, Ming; Liu, Hongwei; Liu, Zexian A new subspace minimization conjugate gradient method with nonmonotone line search for unconstrained optimization. (English) Zbl 1395.90225 Numer. Algorithms 79, No. 1, 195-219 (2018). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 79, No. 1, 195--219 (2018; Zbl 1395.90225) Full Text: DOI
Pu, Wenqiang; Liu, Ya-Feng; Yan, Junkun; Liu, Hongwei; Luo, Zhi-Quan Optimal estimation of sensor biases for asynchronous multi-sensor data fusion. (English) Zbl 1391.90580 Math. Program. 170, No. 1 (B), 357-386 (2018). MSC: 90C30 90C26 90C46 49M37 PDFBibTeX XMLCite \textit{W. Pu} et al., Math. Program. 170, No. 1 (B), 357--386 (2018; Zbl 1391.90580) Full Text: DOI arXiv
Zhao, Huali; Liu, Hongwei A new infeasible Mehrotra-type predictor-corrector algorithm for nonlinear complementarity problems over symmetric cones. (English) Zbl 1384.90109 J. Optim. Theory Appl. 176, No. 2, 410-427 (2018). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{H. Liu}, J. Optim. Theory Appl. 176, No. 2, 410--427 (2018; Zbl 1384.90109) Full Text: DOI
Liu, Ertao; Liu, Hongwei; Liu, Zexian Multistart global optimization algorithm based on simplex gradient. (Chinese. English summary) Zbl 1374.90315 J. Jilin Univ., Sci. 54, No. 6, 1282-1288 (2016). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{E. Liu} et al., J. Jilin Univ., Sci. 54, No. 6, 1282--1288 (2016; Zbl 1374.90315) Full Text: DOI
Huang, Yakui; Liu, Hongwei Smoothing projected Barzilai-Borwein method for constrained non-Lipschitz optimization. (English) Zbl 1357.90117 Comput. Optim. Appl. 65, No. 3, 671-698 (2016). MSC: 90C26 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{H. Liu}, Comput. Optim. Appl. 65, No. 3, 671--698 (2016; Zbl 1357.90117) Full Text: DOI
Yang, Ximei; Zhang, Yinkui; Liu, Hongwei; Shen, Peiping A new second-order infeasible primal-dual path-following algorithm for symmetric optimization. (English) Zbl 1346.90581 Numer. Funct. Anal. Optim. 37, No. 4, 499-519 (2016). MSC: 90C05 90C51 PDFBibTeX XMLCite \textit{X. Yang} et al., Numer. Funct. Anal. Optim. 37, No. 4, 499--519 (2016; Zbl 1346.90581) Full Text: DOI
Ke, Xianbin; Liu, Hongwei; You, Hailong Efficient global optimization algorithm based on gradient method. (Chinese. English summary) Zbl 1349.90694 J. Jilin Univ., Sci. 54, No. 1, 40-44 (2016). MSC: 90C26 90C31 PDFBibTeX XMLCite \textit{X. Ke} et al., J. Jilin Univ., Sci. 54, No. 1, 40--44 (2016; Zbl 1349.90694) Full Text: DOI
Liu, Ya-Feng; Diao, Rui; Ye, Feng; Liu, Hong-Wei An efficient inexact Newton-CG algorithm for the smallest enclosing ball problem of large dimensions. (English) Zbl 1342.90224 J. Oper. Res. Soc. China 4, No. 2, 167-191 (2016). MSC: 90C47 90C06 90C90 90C25 PDFBibTeX XMLCite \textit{Y.-F. Liu} et al., J. Oper. Res. Soc. China 4, No. 2, 167--191 (2016; Zbl 1342.90224) Full Text: DOI arXiv
Liu, Changhe; Shang, Youlin; Liu, Hongwei An \(O(\sqrt{n}L)\) iteration Mehrotra-type predictor-corrector algorithm for monotone linear complementarity problem. (English) Zbl 1345.90086 Optim. Lett. 10, No. 3, 619-634 (2016). MSC: 90C33 90C51 90C60 PDFBibTeX XMLCite \textit{C. Liu} et al., Optim. Lett. 10, No. 3, 619--634 (2016; Zbl 1345.90086) Full Text: DOI
Liu, Xinze; Liu, Hongwei; Wang, Weiwei Polynomial convergence of Mehrotra-type predictor-corrector algorithm for the Cartesian \(P_{\ast}(\kappa)\)-LCP over symmetric cones. (English) Zbl 1312.49034 Optimization 64, No. 4, 815-837 (2015). MSC: 49M15 90C25 90C51 90C05 PDFBibTeX XMLCite \textit{X. Liu} et al., Optimization 64, No. 4, 815--837 (2015; Zbl 1312.49034) Full Text: DOI
Yang, Ximei; Liu, Hongwei; Liu, Changhe A Mehrotra-type predictor-corrector infeasible-interior-point method with a new one-norm neighborhood for symmetric optimization. (English) Zbl 1311.65075 J. Comput. Appl. Math. 283, 106-121 (2015). MSC: 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Comput. Appl. Math. 283, 106--121 (2015; Zbl 1311.65075) Full Text: DOI
Yang, Ximei; Liu, Hongwei; Dong, Xiaoliang Polynomial convergence of Mehrotra-type prediction-corrector infeasible-IPM for symmetric optimization based on the commutative class directions. (English) Zbl 1410.90244 Appl. Math. Comput. 230, 616-628 (2014). MSC: 90C51 65K05 90C05 PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Math. Comput. 230, 616--628 (2014; Zbl 1410.90244) Full Text: DOI
Yang, Ximei; Liu, Hongwei; Liu, Changhe The arc-search interior-point algorithm. (Chinese. English summary) Zbl 1313.90257 J. Jilin Univ., Sci. 52, No. 4, 693-697 (2014). MSC: 90C51 90C05 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Jilin Univ., Sci. 52, No. 4, 693--697 (2014; Zbl 1313.90257) Full Text: DOI
Wang, Weiwei; Liu, Hongwei; Bi, Hongmei A wide-neighborhood interior-point algorithm based on modified Newton direction for linear programming. (Chinese. English summary) Zbl 1313.90256 J. Jilin Univ., Sci. 52, No. 3, 408-412 (2014). MSC: 90C51 90C05 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Jilin Univ., Sci. 52, No. 3, 408--412 (2014; Zbl 1313.90256) Full Text: DOI
Yang, Ximei; Liu, Hongwei; Zhang, Yinkui A second-order mehrotra-type predictor-corrector algorithm with a new wide neighbourhood for semi-definite programming. (English) Zbl 1297.90112 Int. J. Comput. Math. 91, No. 5, 1082-1096 (2014). MSC: 90C22 90C51 PDFBibTeX XMLCite \textit{X. Yang} et al., Int. J. Comput. Math. 91, No. 5, 1082--1096 (2014; Zbl 1297.90112) Full Text: DOI
Liu, Changhe; Liu, Hongwei; Shang, Youlin Neighborhood-following algorithms for symmetric cone programming. (Chinese. English summary) Zbl 1488.90138 Sci. Sin., Math. 43, No. 7, 691-702 (2013). MSC: 90C25 90C51 65K05 PDFBibTeX XMLCite \textit{C. Liu} et al., Sci. Sin., Math. 43, No. 7, 691--702 (2013; Zbl 1488.90138) Full Text: DOI
Liu, Xinze; Liu, Hongwei; Liu, Changhe A predictor-corrector interior-point algorithm for \(P_*(\kappa)\)-linear complementarity problems. (Chinese. English summary) Zbl 1299.90348 J. Jilin Univ., Sci. 51, No. 5, 789-794 (2013). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Jilin Univ., Sci. 51, No. 5, 789--794 (2013; Zbl 1299.90348) Full Text: DOI
Zhou, Shuisheng; Cui, Jiangtao; Ye, Feng; Liu, Hongwei; Zhu, Qiang New smoothing SVM algorithm with tight error bound and efficient reduced techniques. (English) Zbl 1311.90090 Comput. Optim. Appl. 56, No. 3, 599-617 (2013). MSC: 90C20 90C25 PDFBibTeX XMLCite \textit{S. Zhou} et al., Comput. Optim. Appl. 56, No. 3, 599--617 (2013; Zbl 1311.90090) Full Text: DOI
Liu, Hongwei; Liu, Changhe; Yang, Ximei New complexity analysis of a Mehrotra-type predictor-corrector algorithm for semidefinite programming. (English) Zbl 1310.65065 Optim. Methods Softw. 28, No. 6, 1179-1194 (2013). MSC: 65K05 90C22 90C51 PDFBibTeX XMLCite \textit{H. Liu} et al., Optim. Methods Softw. 28, No. 6, 1179--1194 (2013; Zbl 1310.65065) Full Text: DOI
Liu, Changhe; Liu, Hongwei; Zhu, Jianguang A new semi-smooth Newton method for absolute value equations. (English) Zbl 1289.65143 Chin. J. Eng. Math. 30, No. 1, 101-111 (2013). MSC: 65K05 15A06 65F10 90C33 65G30 90C53 PDFBibTeX XMLCite \textit{C. Liu} et al., Chin. J. Eng. Math. 30, No. 1, 101--111 (2013; Zbl 1289.65143)
Liu, Changhe; Liu, Hongwei; Liu, Xinze Polynomial convergence of second-order mehrotra-type predictor-corrector algorithms over symmetric cones. (English) Zbl 1268.90128 J. Optim. Theory Appl. 154, No. 3, 949-965 (2012). Reviewer: Efstratios Rappos (Aubonne) MSC: 90C51 90C05 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Optim. Theory Appl. 154, No. 3, 949--965 (2012; Zbl 1268.90128) Full Text: DOI
Liu, Hongwei; Liu, Xinze; Liu, Changhe Mehrotra-type predictor-corrector algorithms for sufficient linear complementarity problem. (English) Zbl 1262.65067 Appl. Numer. Math. 62, No. 12, 1685-1700 (2012). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C51 PDFBibTeX XMLCite \textit{H. Liu} et al., Appl. Numer. Math. 62, No. 12, 1685--1700 (2012; Zbl 1262.65067) Full Text: DOI
Liu, Changhe; Liu, Hongwei; Zhu, Jianguang A Mehrotra-type predictor-corrector algorithm with \(O(\sqrt{n}L)\)-iteration complexity. (Chinese. English summary) Zbl 1249.90157 J. Jilin Univ., Sci. 49, No. 4, 633-637 (2011). MSC: 90C05 65K05 90C46 90C51 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Jilin Univ., Sci. 49, No. 4, 633--637 (2011; Zbl 1249.90157)
Cong, Weijie; Liu, Hongwei A linearly convergent algorithm for solving the minimum volume axis-aligned ellipsoid problem. (Chinese. English summary) Zbl 1249.68325 J. Jilin Univ., Sci. 49, No. 2, 173-178 (2011). MSC: 68W25 68T20 90C46 PDFBibTeX XMLCite \textit{W. Cong} and \textit{H. Liu}, J. Jilin Univ., Sci. 49, No. 2, 173--178 (2011; Zbl 1249.68325)
Zhu, Jianguang; Liu, Hongwei; Liu, Changhe; Cong, Weijie A nonmonotone derivative-free algorithm for nonlinear complementarity problems based on the new generalized penalized Fischer-Burmeister merit function. (English) Zbl 1279.90173 Numer. Algorithms 58, No. 4, 573-591 (2011). Reviewer: Andrea Walther (Paderborn) MSC: 90C33 65K05 PDFBibTeX XMLCite \textit{J. Zhu} et al., Numer. Algorithms 58, No. 4, 573--591 (2011; Zbl 1279.90173) Full Text: DOI
Liu, Hongwei; Huang, Yakui; Li, Xiangli Partial projected Newton method for a class of stochastic linear complementarity problems. (English) Zbl 1232.65091 Numer. Algorithms 58, No. 4, 593-618 (2011). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C33 90C15 PDFBibTeX XMLCite \textit{H. Liu} et al., Numer. Algorithms 58, No. 4, 593--618 (2011; Zbl 1232.65091) Full Text: DOI
Li, Xiangli; Liu, Hongwei; Huang, Yakui Newton-KKT interior-point methods for special linear complementarity problems. (Chinese. English summary) Zbl 1240.90439 Acta Math. Appl. Sin. 33, No. 5, 889-899 (2010). MSC: 90C33 90C51 90C20 PDFBibTeX XMLCite \textit{X. Li} et al., Acta Math. Appl. Sin. 33, No. 5, 889--899 (2010; Zbl 1240.90439)
Zhu, Jianguang; Liu, Hongwei; Li, Xiangli A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function. (English) Zbl 1204.65075 J. Comput. Appl. Math. 233, No. 10, 2611-2619 (2010). Reviewer: Akrur Behera (Rourkela) MSC: 65K05 90C33 90C30 65K15 49J40 PDFBibTeX XMLCite \textit{J. Zhu} et al., J. Comput. Appl. Math. 233, No. 10, 2611--2619 (2010; Zbl 1204.65075) Full Text: DOI
Mu, Xuewen; Liu, Sanyang; Liu, Hongwei; Yu, Zhouqiu A projected gradient algorithm for max bisection. (Chinese. English summary) Zbl 1119.90337 Chin. J. Eng. Math. 22, No. 1, 171-174 (2005). MSC: 90C22 90C52 PDFBibTeX XMLCite \textit{X. Mu} et al., Chin. J. Eng. Math. 22, No. 1, 171--174 (2005; Zbl 1119.90337)
Liu, Hongwei; Wang, Xinhui; Liu, Sanyang Feasible direction algorithm for solving the SDP relaxations of quadratic \(\{-1,1\}\) programming problems. (English) Zbl 1072.65081 Optim. Methods Softw. 19, No. 2, 125-136 (2004). Reviewer: Berwin A. Turlach (Crawley) MSC: 65K05 90C10 90C20 90C22 PDFBibTeX XMLCite \textit{H. Liu} et al., Optim. Methods Softw. 19, No. 2, 125--136 (2004; Zbl 1072.65081) Full Text: DOI