Liang, Xiubo; Wang, Guoqiang; Yu, Bo A reduced proximal-point homotopy method for large-scale non-convex BQP. (English) Zbl 1487.90514 Comput. Optim. Appl. 81, No. 2, 539-567 (2022). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{X. Liang} et al., Comput. Optim. Appl. 81, No. 2, 539--567 (2022; Zbl 1487.90514) Full Text: DOI
Zhang, Xuping; Zhang, Jintao; Yu, Bo Finding multiple solutions to elliptic systems with polynomial nonlinearity. (English) Zbl 07771428 Numer. Methods Partial Differ. Equations 36, No. 5, 1074-1097 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Zhang} et al., Numer. Methods Partial Differ. Equations 36, No. 5, 1074--1097 (2020; Zbl 07771428) Full Text: DOI
Wang, Guoqiang; Wei, Xinyuan; Yu, Bo; Xu, Lijun An efficient proximal block coordinate homotopy method for large-scale sparse least squares problems. (English) Zbl 1434.90091 SIAM J. Sci. Comput. 42, No. 1, A395-A423 (2020). MSC: 90C06 90C26 PDFBibTeX XMLCite \textit{G. Wang} et al., SIAM J. Sci. Comput. 42, No. 1, A395--A423 (2020; Zbl 1434.90091) Full Text: DOI
Wang, Guoqiang; Yu, Bo PAL-Hom method for QP and an application to LP. (English) Zbl 1414.90224 Comput. Optim. Appl. 73, No. 1, 311-352 (2019). MSC: 90C05 90C20 PDFBibTeX XMLCite \textit{G. Wang} and \textit{B. Yu}, Comput. Optim. Appl. 73, No. 1, 311--352 (2019; Zbl 1414.90224) Full Text: DOI arXiv
Zhu, Zhichuan; Yu, Bo A modified homotopy method for solving the principal-agent bilevel programming problem. (English) Zbl 1409.91157 Comput. Appl. Math. 37, No. 1, 541-566 (2018). MSC: 91B40 90C26 14F99 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{B. Yu}, Comput. Appl. Math. 37, No. 1, 541--566 (2018; Zbl 1409.91157) Full Text: DOI
Mahmoud, Abdrhaman; Yu, Bo; Zhang, Xuping Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity. (English) Zbl 1402.65073 ETNA, Electron. Trans. Numer. Anal. 48, 81-96 (2018). Reviewer: Serhiy Yanchuk (Berlin) MSC: 65L10 34L10 34B15 PDFBibTeX XMLCite \textit{A. Mahmoud} et al., ETNA, Electron. Trans. Numer. Anal. 48, 81--96 (2018; Zbl 1402.65073) Full Text: DOI Link
Jiao, Libin; Dong, Bo; Yu, Bo Efficiently counting affine roots of mixed trigonometric polynomial systems. (English) Zbl 1383.65048 J. Syst. Sci. Complex. 30, No. 4, 967-982 (2017). MSC: 65H10 65T40 42A05 65H20 PDFBibTeX XMLCite \textit{L. Jiao} et al., J. Syst. Sci. Complex. 30, No. 4, 967--982 (2017; Zbl 1383.65048) Full Text: DOI
Yu, Yan; Dong, Bo; Yu, Bo Direct GBQ algorithm for solving mixed trigonometric polynomial systems. (English) Zbl 1413.65217 J. Math. Res. Appl. 37, No. 2, 127-136 (2017). MSC: 65H20 PDFBibTeX XMLCite \textit{Y. Yu} et al., J. Math. Res. Appl. 37, No. 2, 127--136 (2017; Zbl 1413.65217) Full Text: DOI
Zhu, Zhichuan; Yu, Bo Globally convergent homotopy algorithm for solving the KKT systems to the principal-agent bilevel programming. (English) Zbl 1364.90282 Optim. Methods Softw. 32, No. 1, 69-85 (2017). MSC: 90C26 65K05 91-08 91B40 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{B. Yu}, Optim. Methods Softw. 32, No. 1, 69--85 (2017; Zbl 1364.90282) Full Text: DOI
Zhang, Xuping; Zhang, Jintao; Yu, Bo Symmetric homotopy method for discretized elliptic equations with cubic and quintic nonlinearities. (English) Zbl 1373.65086 J. Sci. Comput. 70, No. 3, 1316-1335 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N35 65H20 35J61 35P10 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Sci. Comput. 70, No. 3, 1316--1335 (2017; Zbl 1373.65086) Full Text: DOI
Dong, Li; Yu, Bo; Zhao, Guohui A spline smoothing homotopy method for nonconvex nonlinear programming. (English) Zbl 1338.90387 Optimization 65, No. 4, 729-749 (2016). MSC: 90C30 49M37 PDFBibTeX XMLCite \textit{L. Dong} et al., Optimization 65, No. 4, 729--749 (2016; Zbl 1338.90387) Full Text: DOI
Dong, Bo; Yu, Bo; Yu, Yan A homotopy method for finding all solutions of a multiparameter eigenvalue problem. (English) Zbl 1338.65100 SIAM J. Matrix Anal. Appl. 37, No. 2, 550-571 (2016). MSC: 65F15 65H20 PDFBibTeX XMLCite \textit{B. Dong} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 550--571 (2016; Zbl 1338.65100) Full Text: DOI
Jiao, Libin; Dong, Bo; Zhang, Jintao; Yu, Bo Polynomial homotopy method for the sparse interpolation problem. I: Equally spaced sampling. (English) Zbl 1382.65033 SIAM J. Numer. Anal. 54, No. 1, 462-480 (2016). MSC: 65D05 65J22 65H20 PDFBibTeX XMLCite \textit{L. Jiao} et al., SIAM J. Numer. Anal. 54, No. 1, 462--480 (2016; Zbl 1382.65033) Full Text: DOI
Dong, Bo; Wang, Chongqi; Yu, Bo Direct polyhedral homotopy methods for solving mixed trigonometric polynomial systems. (Chinese. English summary) Zbl 1349.65733 J. Syst. Sci. Math. Sci. 35, No. 11, 1367-1373 (2015). MSC: 65T40 65H10 65H20 42A05 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Syst. Sci. Math. Sci. 35, No. 11, 1367--1373 (2015; Zbl 1349.65733)
Yang, Li; Yu, Bo; Li, YanXi A homotopy method based on penalty function for nonlinear semidefinite programming. (English) Zbl 1353.90106 J. Glob. Optim. 63, No. 1, 61-76 (2015). MSC: 90C22 90C30 PDFBibTeX XMLCite \textit{L. Yang} et al., J. Glob. Optim. 63, No. 1, 61--76 (2015; Zbl 1353.90106) Full Text: DOI
Yang, Li; Yu, Bo; Li, Yanxi A homotopy method for nonlinear second-order cone programming. (English) Zbl 1321.65101 Numer. Algorithms 68, No. 2, 355-365 (2015). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{L. Yang} et al., Numer. Algorithms 68, No. 2, 355--365 (2015; Zbl 1321.65101) Full Text: DOI
Yu, Yan; Yu, Bo; Dong, Bo Robust continuation methods for tracing solution curves of parameterized systems. (English) Zbl 1305.65145 Numer. Algorithms 65, No. 4, 825-841 (2014). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{Y. Yu} et al., Numer. Algorithms 65, No. 4, 825--841 (2014; Zbl 1305.65145) Full Text: DOI
Yang, Li; Yu, Bo; Xu, Qing A constraint shifting homotopy method for general non-linear programming. (English) Zbl 1291.49024 Optimization 63, No. 4, 585-600 (2014). MSC: 49M37 49M05 90C30 PDFBibTeX XMLCite \textit{L. Yang} et al., Optimization 63, No. 4, 585--600 (2014; Zbl 1291.49024) Full Text: DOI
Dong, Bo; Yu, Bo; Yu, Yan A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1327.13102 Math. Comput. 83, No. 288, 1847-1868 (2014). MSC: 13P15 65H20 65H10 14Q99 68W30 PDFBibTeX XMLCite \textit{B. Dong} et al., Math. Comput. 83, No. 288, 1847--1868 (2014; Zbl 1327.13102) Full Text: DOI
Zhou, Zhengyong; Yu, Bo A smoothing homotopy method for variational inequality problems on polyhedral convex sets. (English) Zbl 1311.90157 J. Glob. Optim. 58, No. 1, 151-168 (2014). MSC: 90C33 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{B. Yu}, J. Glob. Optim. 58, No. 1, 151--168 (2014; Zbl 1311.90157) Full Text: DOI
Dong, Li; Yu, Bo; Zhou, Zhengyong A constraint shifting spline smoothing homotopy method for general nonlinear programming. (English) Zbl 1310.90104 Pac. J. Optim. 10, No. 1, 37-51 (2014). MSC: 90C30 49M37 PDFBibTeX XMLCite \textit{L. Dong} et al., Pac. J. Optim. 10, No. 1, 37--51 (2014; Zbl 1310.90104) Full Text: Link
Zhu, Zhichuan; Yu, Bo; Yang, Li Globally convergent homotopy method for designing piecewise linear deterministic contractual function. (English) Zbl 1282.91178 J. Ind. Manag. Optim. 10, No. 3, 717-741 (2014). MSC: 91B40 90C26 90C30 90-08 PDFBibTeX XMLCite \textit{Z. Zhu} et al., J. Ind. Manag. Optim. 10, No. 3, 717--741 (2014; Zbl 1282.91178) Full Text: DOI
Yang, Fenlin; Chen, Ke; Yu, Bo; Fang, Donghui A relaxed fixed point method for a mean curvature-based denoising model. (English) Zbl 1284.49039 Optim. Methods Softw. 29, No. 2, 274-285 (2014). MSC: 49M30 68U10 94A08 47N10 PDFBibTeX XMLCite \textit{F. Yang} et al., Optim. Methods Softw. 29, No. 2, 274--285 (2014; Zbl 1284.49039) Full Text: DOI
Xiao, Y.; Xiong, H. J.; Yu, B. Truncated aggregate homotopy method for nonconvex nonlinear programming. (English) Zbl 1282.90209 Optim. Methods Softw. 29, No. 1, 160-176 (2014). MSC: 90C34 90C46 49J52 90C51 90C90 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Optim. Methods Softw. 29, No. 1, 160--176 (2014; Zbl 1282.90209) Full Text: DOI
Zhang, Xuping; Yu, Bo A note on the relation between the Newton homotopy method and the damped Newton method. (English) Zbl 1288.65078 ETNA, Electron. Trans. Numer. Anal. 40, 373-380 (2013). MSC: 65H20 65H10 35J61 65N12 65N30 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{B. Yu}, ETNA, Electron. Trans. Numer. Anal. 40, 373--380 (2013; Zbl 1288.65078) Full Text: EMIS
Zhang, Xuping; Zhang, Jintao; Yu, Bo Eigenfunction expansion method for multiple solutions of semilinear elliptic equations with polynomial nonlinearity. (English) Zbl 1305.65174 SIAM J. Numer. Anal. 51, No. 5, 2680-2699 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L10 65H10 65N30 65N35 PDFBibTeX XMLCite \textit{X. Zhang} et al., SIAM J. Numer. Anal. 51, No. 5, 2680--2699 (2013; Zbl 1305.65174) Full Text: DOI
Zhu, Zhichuan; Yu, Bo; Shang, Yufeng A modified homotopy method for solving nonconvex fixed points problems. (English) Zbl 1294.47078 Fixed Point Theory 14, No. 2, 531-544 (2013). Reviewer: Mugur Acu (Sibiu) MSC: 47H10 55M20 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Fixed Point Theory 14, No. 2, 531--544 (2013; Zbl 1294.47078) Full Text: Link
Yang, Li; Yu, Bo A homotopy method for nonlinear semidefinite programming. (English) Zbl 1298.90067 Comput. Optim. Appl. 56, No. 1, 81-96 (2013). MSC: 90C22 PDFBibTeX XMLCite \textit{L. Yang} and \textit{B. Yu}, Comput. Optim. Appl. 56, No. 1, 81--96 (2013; Zbl 1298.90067) Full Text: DOI
Yang, Fenlin; Chen, Ke; Yu, Bo Efficient homotopy solution and a convex combination of ROF and LLT models for image restoration. (English) Zbl 1264.35288 Int. J. Numer. Anal. Model. 9, No. 4, 907-927 (2012). MSC: 35R35 49J40 60G40 65D18 PDFBibTeX XMLCite \textit{F. Yang} et al., Int. J. Numer. Anal. Model. 9, No. 4, 907--927 (2012; Zbl 1264.35288) Full Text: Link
Yang, Li; Yu, Bo; Xu, Qing A combined homotopy infeasible interior point method for nonconvex programming. (English) Zbl 1257.49032 Pac. J. Optim. 8, No. 1, 89-101 (2012). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{L. Yang} et al., Pac. J. Optim. 8, No. 1, 89--101 (2012; Zbl 1257.49032) Full Text: Link
Yang, Fenlin; Chen, Ke; Yu, Bo Homotopy curve tracking for total variation image restoration. (English) Zbl 1265.68341 J. Comput. Math. 30, No. 2, 177-196 (2012). MSC: 68U10 94A08 65H20 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Comput. Math. 30, No. 2, 177--196 (2012; Zbl 1265.68341) Full Text: DOI
Yang, Fenlin; Chen, Ke; Yu, Bo Homotopy method for a mean curvature-based denoising model. (English) Zbl 1416.65173 Appl. Numer. Math. 62, No. 3, 185-200 (2012). MSC: 65K10 PDFBibTeX XMLCite \textit{F. Yang} et al., Appl. Numer. Math. 62, No. 3, 185--200 (2012; Zbl 1416.65173) Full Text: DOI
Zhou, Zhengyong; Yu, Bo A smoothing homotopy method based on Robinson’s normal equation for mixed complementarity problems. (English) Zbl 1231.90360 J. Ind. Manag. Optim. 7, No. 4, 977-989 (2011). MSC: 90C33 65D10 65H20 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{B. Yu}, J. Ind. Manag. Optim. 7, No. 4, 977--989 (2011; Zbl 1231.90360) Full Text: DOI
Shang, Yufeng; Yu, Bo A constraint shifting homotopy method for convex multi-objective programming. (English) Zbl 1236.65068 J. Comput. Appl. Math. 236, No. 5, 640-646 (2011). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C25 90C29 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{B. Yu}, J. Comput. Appl. Math. 236, No. 5, 640--646 (2011; Zbl 1236.65068) Full Text: DOI
Shang, Yufeng; Xu, Qing; Yu, Bo A globally convergent non-interior point homotopy method for solving variational inequalities. (English) Zbl 1229.90240 Optim. Methods Softw. 26, No. 6, 933-943 (2011). MSC: 90C33 PDFBibTeX XMLCite \textit{Y. Shang} et al., Optim. Methods Softw. 26, No. 6, 933--943 (2011; Zbl 1229.90240) Full Text: DOI
Su, Menglong; Yu, Bo; Shi, Shaoyun A boundary perturbation interior point homotopy method for solving fixed point problems. (English) Zbl 1211.65062 J. Math. Anal. Appl. 377, No. 2, 683-694 (2011). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65J15 47H10 54H25 65Y20 PDFBibTeX XMLCite \textit{M. Su} et al., J. Math. Anal. Appl. 377, No. 2, 683--694 (2011; Zbl 1211.65062) Full Text: DOI
Su, Menglong; Yu, Bo; Wang, Jian Solving nonconvex nonlinear programming problems via a new aggregate constraint homotopy method. (English) Zbl 1210.65119 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2558-2565 (2010). Reviewer: Armin Hoffmann (Ilmenau) MSC: 65K05 90C06 90C30 65Y20 90C26 PDFBibTeX XMLCite \textit{M. Su} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2558--2565 (2010; Zbl 1210.65119) Full Text: DOI
Xu, Qing; Dai, Xi; Yu, Bo Solving generalized Nash equilibrium problem with equality and inequality constraints. (English) Zbl 1191.90074 Optim. Methods Softw. 24, No. 3, 327-337 (2009). MSC: 90C30 91A10 91B50 PDFBibTeX XMLCite \textit{Q. Xu} et al., Optim. Methods Softw. 24, No. 3, 327--337 (2009; Zbl 1191.90074) Full Text: DOI
Fan, Xiaona; Yu, Bo A smoothing homotopy method for solving variational inequalities. (English) Zbl 1153.90018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 211-219 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 90C33 90C30 65C20 65L05 47J20 49J40 PDFBibTeX XMLCite \textit{X. Fan} and \textit{B. Yu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 211--219 (2009; Zbl 1153.90018) Full Text: DOI
Xu, Qing; Yu, Bo Solving the Karush-Kuhn-Tucker system of a nonconvex programming problem on an unbounded set. (English) Zbl 1171.65049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 757-763 (2009). Reviewer: Zhen Mei (Toronto) MSC: 65K05 65H10 90C26 90C30 90C51 65H20 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{B. Yu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 757--763 (2009; Zbl 1171.65049) Full Text: DOI
Yu, Bo; Dong, Bo; Cao, Xiaofei; Yang, Desen A fast algorithm for a class of nonlinear systems in signal processing. (Chinese. English summary) Zbl 1199.65172 J. Syst. Sci. Math. Sci. 28, No. 8, 1002-1019 (2008). MSC: 65H10 65H20 94A12 65H04 42A05 65T40 PDFBibTeX XMLCite \textit{B. Yu} et al., J. Syst. Sci. Math. Sci. 28, No. 8, 1002--1019 (2008; Zbl 1199.65172)
Yu, Bo; Dong, Bo A hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1168.65025 SIAM J. Numer. Anal. 46, No. 3, 1503-1518 (2008). Reviewer: Costică Moroşanu (Iaşi) MSC: 65H10 65H20 68W30 12Y05 26C10 42A10 65T40 PDFBibTeX XMLCite \textit{B. Yu} and \textit{B. Dong}, SIAM J. Numer. Anal. 46, No. 3, 1503--1518 (2008; Zbl 1168.65025) Full Text: DOI
Fan, Xiaona; Yu, Bo Homotopy method for solving variational inequalities with bounded box constraints. (English) Zbl 1178.90325 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2357-2361 (2008). MSC: 90C33 90C30 65C20 65L05 49J40 PDFBibTeX XMLCite \textit{X. Fan} and \textit{B. Yu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2357--2361 (2008; Zbl 1178.90325) Full Text: DOI
Fan, Xiaona; Yu, Bo A polynomial path following algorithm for convex programming. (English) Zbl 1141.65042 Appl. Math. Comput. 196, No. 2, 866-878 (2008). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{X. Fan} and \textit{B. Yu}, Appl. Math. Comput. 196, No. 2, 866--878 (2008; Zbl 1141.65042) Full Text: DOI
Xu, Qing; Yu, Bo; Feng, Guochen; Dang, Chuangyin Condition for global convergence of a homotopy method for variational inequality problems on unbounded sets. (English) Zbl 1186.90111 Optim. Methods Softw. 22, No. 4, 587-599 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 90C30 65K10 49M37 PDFBibTeX XMLCite \textit{Q. Xu} et al., Optim. Methods Softw. 22, No. 4, 587--599 (2007; Zbl 1186.90111) Full Text: DOI
Yu, Bo; Xu, Qing; Feng, Guochen On the complexity of a combined homotopy interior method for convex programming. (English) Zbl 1113.65063 J. Comput. Appl. Math. 200, No. 1, 32-46 (2007). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{B. Yu} et al., J. Comput. Appl. Math. 200, No. 1, 32--46 (2007; Zbl 1113.65063) Full Text: DOI
Yu, Bo; Shang, Yufeng Boundary moving combined homotopy method for nonconvex nonlinear programming. (Chinese. English summary) Zbl 1126.65057 J. Math. Res. Expo. 26, No. 4, 831-834 (2006). MSC: 65K05 90C26 90C30 90C51 65H20 PDFBibTeX XMLCite \textit{B. Yu} and \textit{Y. Shang}, J. Math. Res. Expo. 26, No. 4, 831--834 (2006; Zbl 1126.65057)
Xu, Qing; Yu, Bo; Feng, Guo-Chen Homotopy methods for solving variational inequalities in unbounded sets. (English) Zbl 1072.65098 J. Glob. Optim. 31, No. 1, 121-131 (2005). Reviewer: Yves Cherruault (Paris) MSC: 65K10 49J40 49M37 PDFBibTeX XMLCite \textit{Q. Xu} et al., J. Glob. Optim. 31, No. 1, 121--131 (2005; Zbl 1072.65098) Full Text: DOI
Xu, Wing; Yu, Bo Homotopy method for non-convex programming in unbounded set. (English) Zbl 1141.90547 Northeast. Math. J. 21, No. 1, 25-31 (2005). MSC: 90C30 65H10 PDFBibTeX XMLCite \textit{W. Xu} and \textit{B. Yu}, Northeast. Math. J. 21, No. 1, 25--31 (2005; Zbl 1141.90547)
Lin, Zhenghua; Yu, Bo; Zhu, Daoli A continuation method for solving fixed points of self-mappings in general nonconvex sets. (English) Zbl 1020.65030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 905-915 (2003). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{Z. Lin} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 905--915 (2003; Zbl 1020.65030) Full Text: DOI
Xu, Qing; Yu, Bo; Feng, Guochen Homotopy method for variational inequalities. (English) Zbl 1003.65072 Adv. Math., Beijing 30, No. 5, 477-479 (2001). MSC: 65K10 65H20 49J40 PDFBibTeX XMLCite \textit{Q. Xu} et al., Adv. Math., Beijing 30, No. 5, 477--479 (2001; Zbl 1003.65072)
Yu, Bo; Feng, Guochen; Zhang, Shao-Liang The aggregate constraint homotopy method for nonconvex nonlinear programming. (English) Zbl 1002.90092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 7, 839-847 (2001). Reviewer: Corneliu Ursescu (Iaşi) MSC: 90C51 90C30 PDFBibTeX XMLCite \textit{B. Yu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 7, 839--847 (2001; Zbl 1002.90092) Full Text: DOI
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)
Lin, Zhenghua; Yu, Xiaolin; Yu, Bo A continuation method for constraints convex programming. (Chinese. English summary) Zbl 0935.65062 Math. Numer. Sin. 21, No. 3, 309-316 (1999). Reviewer: H.T.Lau (Verdun/Quebec) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{Z. Lin} et al., Math. Numer. Sin. 21, No. 3, 309--316 (1999; Zbl 0935.65062)
Feng, Guochen; Lin, Zhenghua; Yu, Bo Existence of an interior pathway to a Karush-Kuhn-Tucker point of a nonconvex programming problem. (English) Zbl 1060.90692 Nonlinear Anal., Theory Methods Appl. 32, No. 6, 761-768 (1998). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{G. Feng} et al., Nonlinear Anal., Theory Methods Appl. 32, No. 6, 761--768 (1998; Zbl 1060.90692) Full Text: DOI
Yu, Bo; Feng, Guochen Globally convergent interior path following methods for nonlinear programming and Brouwer fixed point problems. (English) Zbl 0914.90221 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, 325-343 (1998). MSC: 90C26 PDFBibTeX XMLCite \textit{B. Yu} and \textit{G. Feng}, Appl. Optim. 14, 325--343 (1998; Zbl 0914.90221)
Lin, Zhenghua; Yu, Bo; Feng, Guochen A combined homotopy interior point method for convex nonlinear programming. (English) Zbl 0898.90100 Appl. Math. Comput. 84, No. 2-3, 193-211 (1997). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{Z. Lin} et al., Appl. Math. Comput. 84, No. 2--3, 193--211 (1997; Zbl 0898.90100) Full Text: DOI
Yu, Bo; Lin, Zhenghua Homotopy method for a class of nonconvex Brouwer fixed-point problems. (English) Zbl 0840.65038 Appl. Math. Comput. 74, No. 1, 65-77 (1996). Reviewer: E.L.Allgower (Fort Collins) MSC: 65H20 65H10 55M20 55P99 54H25 PDFBibTeX XMLCite \textit{B. Yu} and \textit{Z. Lin}, Appl. Math. Comput. 74, No. 1, 65--77 (1996; Zbl 0840.65038) Full Text: DOI
Lin, Zhenghua; Li, Yong; Yu, Bo A combined homotopy interior point method for general nonlinear programming problems. (English) Zbl 0883.65054 Appl. Math. Comput. 80, No. 2-3, 209-224 (1996). Reviewer: E.L.Allgower (Fort Collins) MSC: 65K05 65H20 90C30 PDFBibTeX XMLCite \textit{Z. Lin} et al., Appl. Math. Comput. 80, No. 2--3, 209--224 (1996; Zbl 0883.65054) Full Text: DOI
Feng, Guochen; Yu, Bo Combined homotopy interior point method for nonlinear programming problems. (English) Zbl 0836.65081 Ushijima, Teruo (ed.) et al., Advances in numerical mathematics. Proceedings of the 2nd Japan-China seminar on numerical mathematics, held in August 22-26, 1994 at the University of Electro-Communications in Tokyo, Japan. Tokyo: Kinokuniya. Lect. Notes Numer. Appl. Anal. 14, 9-16 (1995). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{G. Feng} and \textit{B. Yu}, Lect. Notes Numer. Appl. Anal. 14, 9--16 (1995; Zbl 0836.65081)