Shang, Yufeng; Liu, Qinghuai Dynamic constraint homotopy algorithm for solving a class of extremum problem of function. (Chinese. English summary) Zbl 07801179 Acta Math. Appl. Sin. 45, No. 5, 699-711 (2022). MSC: 65H10 90C30 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{Q. Liu}, Acta Math. Appl. Sin. 45, No. 5, 699--711 (2022; Zbl 07801179) Full Text: Link
Shang, Yufeng; Dang, Yang; Wu, Rui; Liu, Qinghuai Dynamic constrained homotopy algorithms for solving extremum of functions in nonconvex domains with holes. (Chinese. English summary) Zbl 1488.90149 J. Northeast Norm. Univ., Nat. Sci. Ed. 53, No. 1, 32-37 (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{Y. Shang} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 53, No. 1, 32--37 (2021; Zbl 1488.90149) Full Text: DOI
Zhang, Chunyang; Zhu, Zhichuan; Yao, Yonghong; Liu, Qinghuai Homotopy method for solving mathematical programs with bounded box-constrained variational inequalities. (English) Zbl 1430.90527 Optimization 68, No. 12, 2293-2312 (2019). MSC: 90C30 65H10 PDFBibTeX XMLCite \textit{C. Zhang} et al., Optimization 68, No. 12, 2293--2312 (2019; Zbl 1430.90527) Full Text: DOI
Zhang, Chunyang; Zhang, Shugong; Liu, Qinghuai Homotopy method for a class of multiobjective optimization problems with equilibrium constraints. (English) Zbl 1364.90421 J. Ind. Manag. Optim. 13, No. 1, 81-92 (2017). MSC: 90C90 65K05 90C29 65H10 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Ind. Manag. Optim. 13, No. 1, 81--92 (2017; Zbl 1364.90421) Full Text: DOI
He, Li; Li, Na; Liu, Qinghuai; Wang, Xiuyu Aggregate homotopy method for a class of multiobjective programming problems. (Chinese. English summary) Zbl 1374.90339 J. Northeast Norm. Univ., Nat. Sci. Ed. 48, No. 3, 41-47 (2016). MSC: 90C29 90C51 PDFBibTeX XMLCite \textit{L. He} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 48, No. 3, 41--47 (2016; Zbl 1374.90339) Full Text: DOI
Xu, Junyan; Miao, Zhuang; Liu, Qinghuai Parametric global optimization for polynomial bilevel programming. (Chinese. English summary) Zbl 1349.90700 J. Northeast Norm. Univ., Nat. Sci. Ed. 47, No. 3, 5-8 (2015). MSC: 90C26 90C31 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 47, No. 3, 5--8 (2015; Zbl 1349.90700) Full Text: DOI
Xu, Junyan; Gao, Yingying; Miao, Zhuang; Liu, Qinghuai Global optimization for quadratic bilevel programming problem. (Chinese. English summary) Zbl 1324.90121 J. Jilin Univ., Sci. 52, No. 5, 937-942 (2014). MSC: 90C20 90C26 65K05 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Jilin Univ., Sci. 52, No. 5, 937--942 (2014; Zbl 1324.90121) Full Text: DOI
He, Li; Tan, Jiawei; Chen, Jia; Liu, Qinghuai The aggregate homotopy interior-point method for multiobjective programming problems with equality and inequality constraints. (Chinese. English summary) Zbl 1313.90199 J. Jilin Univ., Sci. 52, No. 2, 212-218 (2014). MSC: 90C29 90C51 PDFBibTeX XMLCite \textit{L. He} et al., J. Jilin Univ., Sci. 52, No. 2, 212--218 (2014; Zbl 1313.90199) Full Text: DOI
Xu, Junyan; Miao, Zhuang; Liu, Qinghuai Global optimization for generalized D. C. programming problems. (Chinese. English summary) Zbl 1299.65128 J. Jilin Univ., Sci. 51, No. 6, 1058-1062 (2013). MSC: 65K05 90C30 90C26 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Jilin Univ., Sci. 51, No. 6, 1058--1062 (2013; Zbl 1299.65128)
Wang, Yan; Wang, Xiuyu; Liu, Qinghuai Shifting constraints combined homotopy methods for a class of optimization problems. (Chinese. English summary) Zbl 1274.65176 J. Jilin Univ., Sci. 50, No. 5, 892-896 (2012). MSC: 65K05 65H20 90C25 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Jilin Univ., Sci. 50, No. 5, 892--896 (2012; Zbl 1274.65176)
Xu, Junyan; Miao, Zhuang; Liu, Qinghuai A combined homotopy method for solving extended horizontal linear complementarity problems. (Chinese. English summary) Zbl 1274.90439 J. Jilin Univ., Sci. 50, No. 4, 647-653 (2012). MSC: 90C33 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Jilin Univ., Sci. 50, No. 4, 647--653 (2012; Zbl 1274.90439)
Wang, Xiuyu; Jiang, Xingwu; Liu, Qinghuai A combined homotopy method for nonlinear complementarity problems. (Chinese. English summary) Zbl 1274.90396 Acta Math. Appl. Sin. 35, No. 3, 430-440 (2012). MSC: 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{X. Wang} et al., Acta Math. Appl. Sin. 35, No. 3, 430--440 (2012; Zbl 1274.90396)
Wang, Xiuyu; Jiang, Xingwu; Liu, Qinghuai A new homotopy method for solving nonlinear complementarity problems. (Chinese. English summary) Zbl 1265.90312 J. Jilin Univ., Sci. 50, No. 3, 494-498 (2012). MSC: 90C33 65K05 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Jilin Univ., Sci. 50, No. 3, 494--498 (2012; Zbl 1265.90312)
Chen, Jia; Wang, Chunjie; Tan, Jiawei; Zhao, Jiaqi; Liu, Qinghuai Sufficient conditions for the quasi-convex property and the pseudo-convex property of aggregate functions. (Chinese. English summary) Zbl 1265.90267 J. Jilin Univ., Sci. 50, No. 3, 467-471 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Jilin Univ., Sci. 50, No. 3, 467--471 (2012; Zbl 1265.90267)
Zhao, X.; Zhang, S. G.; Yang, Y. T.; Liu, Q. H. Homotopy method for a general multiobjective programming problem under generalized quasinormal cone condition. (English) Zbl 1253.65104 Abstr. Appl. Anal. 2012, Article ID 591612, 12 p. (2012). MSC: 65K05 90C29 PDFBibTeX XMLCite \textit{X. Zhao} et al., Abstr. Appl. Anal. 2012, Article ID 591612, 12 p. (2012; Zbl 1253.65104) Full Text: DOI
Zhao, X.; Zhang, S. G.; Liu, Q. H. Homotopy interior-point method for a general multiobjective programming problem. (English) Zbl 1244.90215 J. Appl. Math. 2012, Article ID 497345, 12 p. (2012). MSC: 90C29 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Appl. Math. 2012, Article ID 497345, 12 p. (2012; Zbl 1244.90215) Full Text: DOI
Jin, Jianlu; Tan, Jiawei; He, Li; Liu, Qinghuai An aggregate homotopy interior-point method for general nonlinear programming problems. (Chinese. English summary) Zbl 1265.90279 J. Jilin Univ., Sci. 49, No. 6, 1044-1052 (2011). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{J. Jin} et al., J. Jilin Univ., Sci. 49, No. 6, 1044--1052 (2011; Zbl 1265.90279)
Liu, Qinghuai; Zhang, Chunyang; Zhang, Shugong A homotopy method for solving nonconvex optimization with a weak quasi normal cone condition. (Chinese. English summary) Zbl 1265.90236 Acta Math. Appl. Sin. 34, No. 6, 996-1006 (2011). MSC: 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{Q. Liu} et al., Acta Math. Appl. Sin. 34, No. 6, 996--1006 (2011; Zbl 1265.90236)
Wang, Xiuyu; Jiang, Xingwu; Liu, Qinghuai Existence of solutions for a nonlinear complementarity problem. (Chinese. English summary) Zbl 1249.90288 J. Jilin Univ., Sci. 49, No. 3, 387-390 (2011). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Jilin Univ., Sci. 49, No. 3, 387--390 (2011; Zbl 1249.90288)
Jin, Jianlu; He, Li; Tan, Jiawei; Liu, Qinghuai An aggregate homotopy interior-point method for a class of nonsmooth constrained optimization problems. (Chinese. English summary) Zbl 1240.90381 J. Jilin Univ., Sci. 48, No. 6, 887-892 (2010). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{J. Jin} et al., J. Jilin Univ., Sci. 48, No. 6, 887--892 (2010; Zbl 1240.90381)
Zhao, Xue; Zhang, Shugong; Xu, Junyan; Liu, Qinghuai A homotopy method for solving horizontal linear complementarily problems. (Chinese. English summary) Zbl 1240.90448 J. Jilin Univ., Sci. 48, No. 5, 766-770 (2010). MSC: 90C33 65H20 PDFBibTeX XMLCite \textit{X. Zhao} et al., J. Jilin Univ., Sci. 48, No. 5, 766--770 (2010; Zbl 1240.90448)
Jin, Jianlu; Wang, Xiuyu; He, Li; Liu, Qinghuai Aggregate homotopy interior-point method for constrained sequential max-min problems. (Chinese. English summary) Zbl 1240.49038 Acta Math. Appl. Sin. 33, No. 5, 792-804 (2010). MSC: 49K35 90C47 90C51 PDFBibTeX XMLCite \textit{J. Jin} et al., Acta Math. Appl. Sin. 33, No. 5, 792--804 (2010; Zbl 1240.49038)
Li, Huiling; Zhang, Chunyang; Li, Zhuoshi; Liu, Qinghuai Homotopy interior point method for a nonconvex optimization problem with weak pseudo-cone condition. (Chinese. English summary) Zbl 1228.90083 J. Northeast Norm. Univ., Nat. Sci. Ed. 41, No. 4, 35-38 (2009). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{H. Li} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 41, No. 4, 35--38 (2009; Zbl 1228.90083) Full Text: Link
Sun, Wenjuan; Wang, Cailing; Liu, Qinghuai Convergence theorems of homotopy method for constrained nonconvex programming. (English. Chinese summary) Zbl 1212.90310 Math. Appl. 22, No. 4, 748-754 (2009). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{W. Sun} et al., Math. Appl. 22, No. 4, 748--754 (2009; Zbl 1212.90310)
Li, Hongwei; Liu, Qinghuai A method to construct a quasi-normal cone for a class of complexity non-convex sets and its applications in solving non-convex programming. (Chinese. English summary) Zbl 1212.90308 Acta Math. Appl. Sin. 32, No. 3, 400-412 (2009). MSC: 90C26 90C51 65K05 PDFBibTeX XMLCite \textit{H. Li} and \textit{Q. Liu}, Acta Math. Appl. Sin. 32, No. 3, 400--412 (2009; Zbl 1212.90308)
Sun, Wenjuan; Liu, Qinghuai; Wang, Cailing A homotopy method for getting a local minimum of constrained nonconvex programming. (English) Zbl 1178.90319 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4725-4731 (2009). MSC: 90C30 PDFBibTeX XMLCite \textit{W. Sun} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4725--4731 (2009; Zbl 1178.90319) Full Text: DOI
Wang, Cailing; Liu, Qinghuai; Li, Zhongfan Optimality conditions and duality for nonsmooth multiobjective programmes with generalized essential convexity. (English) Zbl 1183.90329 Northeast. Math. J. 24, No. 5, 377-385 (2008). MSC: 90C25 90C29 90C46 49N15 PDFBibTeX XMLCite \textit{C. Wang} et al., Northeast. Math. J. 24, No. 5, 377--385 (2008; Zbl 1183.90329)
Gao, Yunfeng; Liu, Qinghuai The combined homotopy methods for optimization problem with partial reverse convex constraints. (Chinese. English summary) Zbl 1187.90226 J. Jilin Univ., Sci. 46, No. 6, 1110-1112 (2008). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Q. Liu}, J. Jilin Univ., Sci. 46, No. 6, 1110--1112 (2008; Zbl 1187.90226)
Sun, Wenjuan; Liu, Qinghuai; Wang, Cailing Homotopy method for getting a local minimum of a class of non-convex programming. (Chinese. English summary) Zbl 1174.90745 J. Jilin Univ., Sci. 46, No. 3, 469-471 (2008). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{W. Sun} et al., J. Jilin Univ., Sci. 46, No. 3, 469--471 (2008; Zbl 1174.90745)
Yang, Yihua; Zhao, Liqin; Lü, Xianrui; Liu, Qinghuai Homotopy interior-point method for solving minimal weak effect solutions of multi-object programming under quasi-normal cone condition. (Chinese. English summary) Zbl 1150.90470 J. Jilin Univ., Sci. 45, No. 1, 35-38 (2007). MSC: 90C29 90C26 90C51 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Jilin Univ., Sci. 45, No. 1, 35--38 (2007; Zbl 1150.90470)
Yang, Yihua; Lü, Xianrui; Liu, Qinghuai Infeasible interior-point homotopy method for non-convex programming under normal cone condition. (Chinese. English summary) Zbl 1150.90449 J. Jilin Univ., Sci. 45, No. 3, 365-368 (2007). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Jilin Univ., Sci. 45, No. 3, 365--368 (2007; Zbl 1150.90449)
Liu, Qinghuai; Ren, Luquan; Tao, Min Mathematical modeling and optimization design of the convex shape bionic bulldozing plate surface. (Chinese. English summary) Zbl 1122.90393 Chin. J. Eng. Math. 23, No. 1, 29-36 (2006). MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{Q. Liu} et al., Chin. J. Eng. Math. 23, No. 1, 29--36 (2006; Zbl 1122.90393)
Yang, Yihua; Zhao, Liqin; Lü, Xianrui; Liu, Qinghuai The aggregate homotopy interior-point method for multi-objective convex programming. (Chinese. English summary) Zbl 1135.90433 J. Jilin Univ., Sci. 44, No. 6, 883-887 (2006). MSC: 90C51 90C25 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Jilin Univ., Sci. 44, No. 6, 883--887 (2006; Zbl 1135.90433)
Sun, Wenjuan; Liu, Qinghuai; Wang, Cailing Theorem on convergence of homotopy algorithm for unconstrained nonconvex programming. (Chinese. English summary) Zbl 1137.90644 J. Jilin Univ., Sci. 44, No. 4, 565-566 (2006). MSC: 90C26 PDFBibTeX XMLCite \textit{W. Sun} et al., J. Jilin Univ., Sci. 44, No. 4, 565--566 (2006; Zbl 1137.90644)
Yang, Yihua; Lü, Xianrui; Liu, Qinghuai A combined homotopy infeasible interior-point method for convex nonlinear programming. (English) Zbl 1142.90033 Northeast. Math. J. 22, No. 2, 188-192 (2006). MSC: 90C30 65H10 90C25 PDFBibTeX XMLCite \textit{Y. Yang} et al., Northeast. Math. J. 22, No. 2, 188--192 (2006; Zbl 1142.90033)
Yang, Yihua; Lü, Xianrui; Liu, Qinghuai; Zheng, Zhiying Homotopy-interior point algorithm for solving set of effective solutions of double-objective convex programming. (Chinese. English summary) Zbl 1108.90039 J. Jilin Univ., Sci. 44, No. 1, 39-43 (2006). MSC: 90C29 90C51 90C25 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Jilin Univ., Sci. 44, No. 1, 39--43 (2006; Zbl 1108.90039)
Wang, Cailing; Li, Zhongfan; Liu, Qinghuai A new method for solving linear multiobjective programming. (Chinese. English summary) Zbl 1068.90598 J. Jilin Univ., Sci. 43, No. 3, 282-286 (2005). MSC: 90C29 90C05 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Jilin Univ., Sci. 43, No. 3, 282--286 (2005; Zbl 1068.90598)
Wang, Cailing; Liu, Qinghuai; Li, Zhongfan Optimality conditions of nonsmooth \(\gamma\)-convex programming. (Chinese. English summary) Zbl 1162.90584 J. Jilin Univ., Sci. 42, No. 4, 508-511 (2004). MSC: 90C46 90C26 49J52 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Jilin Univ., Sci. 42, No. 4, 508--511 (2004; Zbl 1162.90584)
Liu, Qinghuai A combined homotopy interior point method for nonconvex nonlinear programming problems under quasi-normal cone condition. (Chinese) Zbl 1134.90540 Acta Math. Appl. Sin. 26, No. 2, 372-377 (2003). MSC: 90C51 90C26 90C30 PDFBibTeX XMLCite \textit{Q. Liu}, Acta Math. Appl. Sin. 26, No. 2, 372--377 (2003; Zbl 1134.90540)
Liu, Qinghuai; Dong, Jiali A reduction theorem and its application in multiobjective optimization. (Chinese) Zbl 1169.90445 Acta Math. Appl. Sin. 24, No. 4, 627-629 (2001). MSC: 90C29 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{J. Dong}, Acta Math. Appl. Sin. 24, No. 4, 627--629 (2001; Zbl 1169.90445)
Yu, Bo; Liu, Qinghuai; Feng, Guochen A combined homotopy interior point method for nonconvex programming with pseudo cone condition. (English) Zbl 1022.90039 Northeast. Math. J. 16, No. 4, 383-386 (2000). MSC: 90C51 90C26 PDFBibTeX XMLCite \textit{B. Yu} et al., Northeast. Math. J. 16, No. 4, 383--386 (2000; Zbl 1022.90039)
Liu, Qinghuai; Lin, Zhenghua Homotopy interior point method for computing weakly efficient solutions of multiobjective programming problems. (Chinese. English summary) Zbl 1028.90055 Acta Math. Appl. Sin. 23, No. 2, 188-195 (2000). MSC: 90C29 90C51 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{Z. Lin}, Acta Math. Appl. Sin. 23, No. 2, 188--195 (2000; Zbl 1028.90055)
Song, Daicai; Liu, Guoxin; Liu, Qinghuai; Lin, Zhenghua; Yang, Yihua An algorithm with higher-order convergence for linear complementarity problems. (Chinese. English summary) Zbl 0988.90549 Acta Sci. Nat. Univ. Jilinensis 1999, No. 1, 12-16 (1999). MSC: 90C33 PDFBibTeX XMLCite \textit{D. Song} et al., Acta Sci. Nat. Univ. Jilinensis 1999, No. 1, 12--16 (1999; Zbl 0988.90549)
Lin, Zhenghua; Song, Daicai; Liu, Qinghuai A new framework of primal-dual infeasible interior-point method for linear programming. (English) Zbl 0917.90245 Numer. Math., J. Chin. Univ. 7, No. 2, 183-194 (1998). MSC: 90C05 PDFBibTeX XMLCite \textit{Z. Lin} et al., Numer. Math., J. Chin. Univ. 7, No. 2, 183--194 (1998; Zbl 0917.90245)
Li, X. F.; Dong, J. L.; Liu, Q. H. Lipschitz B-vex functions and nonsmooth programming. (English) Zbl 0886.90116 J. Optimization Theory Appl. 93, No. 3, 557-574 (1997). MSC: 90C25 49J52 26B25 PDFBibTeX XMLCite \textit{X. F. Li} et al., J. Optim. Theory Appl. 93, No. 3, 557--574 (1997; Zbl 0886.90116) Full Text: DOI
Dong, Jiali; Wang, Jinhe; Liu, Qinghuai Sufficient condition for the multiobjective optimization of Schwartz distributions. (Chinese. English summary) Zbl 0879.90160 J. Math. Res. Expo. 16, No. 1, 129-134 (1996). MSC: 90C29 49K10 46F10 PDFBibTeX XMLCite \textit{J. Dong} et al., J. Math. Res. Expo. 16, No. 1, 129--134 (1996; Zbl 0879.90160)
Liu, Qinghuai; Dong, Jiali; Wang, Liancheng Duality for nonsmooth pseudolinear multiobjective programming. (English) Zbl 0931.90046 Math. Appl. 9, No. 3, 395-398 (1996). MSC: 90C29 49J52 PDFBibTeX XMLCite \textit{Q. Liu} et al., Math. Appl. 9, No. 3, 395--398 (1996; Zbl 0931.90046)
Dong, Jiali; Liu, Qinghuai; Wang, Liancheng Optimality conditions and duality for nondominated solutions in nonsmooth multiobjective optimization. (Chinese) Zbl 0949.90664 Math. Appl. 8, No. 4, 404-408 (1995). MSC: 90C29 49J52 49N15 PDFBibTeX XMLCite \textit{J. Dong} et al., Math. Appl. 8, No. 4, 404--408 (1995; Zbl 0949.90664)
Wang, Liancheng; Dong, Jiali; Liu, Qinghuai Nonsmooth multiobjective programming. (English) Zbl 0821.90110 Syst. Sci. Math. Sci. 7, No. 4, 362-366 (1994). MSC: 90C30 49J52 PDFBibTeX XMLCite \textit{L. Wang} et al., Syst. Sci. Math. Sci. 7, No. 4, 362--366 (1994; Zbl 0821.90110)
Wang, Liancheng; Dong, Jiali; Liu, Qinghuai Optimality conditions in nonsmooth multiobjective programming. (English) Zbl 0823.90109 Syst. Sci. Math. Sci. 7, No. 3, 250 (1994). MSC: 90C29 49J52 PDFBibTeX XMLCite \textit{L. Wang} et al., Syst. Sci. Math. Sci. 7, No. 3, 250 (1994; Zbl 0823.90109)