Eslamian, Mohammad; Kamandi, Ahmad Hierarchical variational inequality problem and split common fixed point of averaged operators. (English) Zbl 07750660 J. Comput. Appl. Math. 437, Article ID 115490, 17 p. (2024). MSC: 47J25 90C25 47H09 49J40 47H05 PDFBibTeX XMLCite \textit{M. Eslamian} and \textit{A. Kamandi}, J. Comput. Appl. Math. 437, Article ID 115490, 17 p. (2024; Zbl 07750660) Full Text: DOI
Zhao, Shimin; Yan, Tao; Wang, Kai; Zhu, Yuanguo Adaptive trust-region method on Riemannian manifold. (English) Zbl 07722587 J. Sci. Comput. 96, No. 3, Paper No. 67, 27 p. (2023). MSC: 90C30 90C48 PDFBibTeX XMLCite \textit{S. Zhao} et al., J. Sci. Comput. 96, No. 3, Paper No. 67, 27 p. (2023; Zbl 07722587) Full Text: DOI
Huang, Baohua; Li, Wen A smoothing Newton method based on the modulus equation for a class of weakly nonlinear complementarity problems. (English) Zbl 1522.90229 Comput. Optim. Appl. 86, No. 1, 345-381 (2023). MSC: 90C33 65K10 65F10 65H10 PDFBibTeX XMLCite \textit{B. Huang} and \textit{W. Li}, Comput. Optim. Appl. 86, No. 1, 345--381 (2023; Zbl 1522.90229) Full Text: DOI
Chang, Xiaokai; Liu, Sanyang; Deng, Zhao; Li, Suoping An inertial subgradient extragradient algorithm with adaptive stepsizes for variational inequality problems. (English) Zbl 1514.47094 Optim. Methods Softw. 37, No. 4, 1507-1526 (2022). MSC: 47J25 47J20 90C25 90C30 90C52 PDFBibTeX XMLCite \textit{X. Chang} et al., Optim. Methods Softw. 37, No. 4, 1507--1526 (2022; Zbl 1514.47094) Full Text: DOI
Lei, Ming; He, Yiran An extragradient method for solving variational inequalities without monotonicity. (English) Zbl 07359117 J. Optim. Theory Appl. 188, No. 2, 432-446 (2021). MSC: 47J20 90C33 90C25 PDFBibTeX XMLCite \textit{M. Lei} and \textit{Y. He}, J. Optim. Theory Appl. 188, No. 2, 432--446 (2021; Zbl 07359117) Full Text: DOI
Yang, Jun; Liu, Hongwei; Li, Guaiwei Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities. (English) Zbl 1446.47081 Numer. Algorithms 84, No. 1, 389-405 (2020). MSC: 47J25 47J20 90C25 90C30 90C52 PDFBibTeX XMLCite \textit{J. Yang} et al., Numer. Algorithms 84, No. 1, 389--405 (2020; Zbl 1446.47081) Full Text: DOI
Yang, Jun; Liu, Hongwei A modified projected gradient method for monotone variational inequalities. (English) Zbl 1506.47099 J. Optim. Theory Appl. 179, No. 1, 197-211 (2018). MSC: 47J20 90C25 90C30 90C52 PDFBibTeX XMLCite \textit{J. Yang} and \textit{H. Liu}, J. Optim. Theory Appl. 179, No. 1, 197--211 (2018; Zbl 1506.47099) Full Text: DOI
Liu, Cuiyu; Li, Chenliang Synchronous and asynchronous multisplitting iteration schemes for solving mixed linear complementarity problems with \(H\)-matrices. (English) Zbl 1355.65078 J. Optim. Theory Appl. 171, No. 1, 169-185 (2016). Reviewer: Hang Lau (Montréal) MSC: 65K05 65Y05 90C33 PDFBibTeX XMLCite \textit{C. Liu} and \textit{C. Li}, J. Optim. Theory Appl. 171, No. 1, 169--185 (2016; Zbl 1355.65078) Full Text: DOI
Zhang, Hao; Ni, Qin A new regularized quasi-Newton algorithm for unconstrained optimization. (English) Zbl 1390.90527 Appl. Math. Comput. 259, 460-469 (2015). MSC: 90C30 65H10 68W25 65K05 58C15 49M37 49M15 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{Q. Ni}, Appl. Math. Comput. 259, 460--469 (2015; Zbl 1390.90527) Full Text: DOI
Malitsky, Yu. Projected reflected gradient methods for monotone variational inequalities. (English) Zbl 1314.47099 SIAM J. Optim. 25, No. 1, 502-520 (2015). MSC: 47J20 90C25 90C30 90C52 PDFBibTeX XMLCite \textit{Yu. Malitsky}, SIAM J. Optim. 25, No. 1, 502--520 (2015; Zbl 1314.47099) Full Text: DOI arXiv
Luo, Zhijun; Wang, Lirong Improved filter-SQP algorithm with active set for constrained minimax problems. (English) Zbl 1437.65051 J. Appl. Math. 2014, Article ID 293475, 7 p. (2014). MSC: 65K05 90C30 90C47 90C55 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{L. Wang}, J. Appl. Math. 2014, Article ID 293475, 7 p. (2014; Zbl 1437.65051) Full Text: DOI
Zhao, Kang; Yao, Guozhu Application of the alternating direction method for an inverse monic quadratic eigenvalue problem. (English) Zbl 1335.15020 Appl. Math. Comput. 244, 32-41 (2014). MSC: 15A29 15A18 65F18 90C25 PDFBibTeX XMLCite \textit{K. Zhao} and \textit{G. Yao}, Appl. Math. Comput. 244, 32--41 (2014; Zbl 1335.15020) Full Text: DOI
Tang, Mingyun Trust region algorithm with two subproblems for bound constrained problems. (English) Zbl 1334.90206 Appl. Math. Comput. 242, 778-789 (2014). MSC: 90C55 PDFBibTeX XMLCite \textit{M. Tang}, Appl. Math. Comput. 242, 778--789 (2014; Zbl 1334.90206) Full Text: DOI
Chai, Jun-Feng; Wang, Shu-Yan Particle swarm optimization-proximal point algorithm for nonlinear complementarity problems. (English) Zbl 1299.90403 Math. Probl. Eng. 2013, Article ID 808965, 5 p. (2013). MSC: 90C59 90C33 PDFBibTeX XMLCite \textit{J.-F. Chai} and \textit{S.-Y. Wang}, Math. Probl. Eng. 2013, Article ID 808965, 5 p. (2013; Zbl 1299.90403) Full Text: DOI
Xu, Haiwen The strong convergence of prediction-correction and relaxed hybrid steepest-descent method for variational inequalities. (English) Zbl 1291.90267 Abstr. Appl. Anal. 2013, Article ID 515902, 10 p. (2013). MSC: 90C33 47J25 49J40 PDFBibTeX XMLCite \textit{H. Xu}, Abstr. Appl. Anal. 2013, Article ID 515902, 10 p. (2013; Zbl 1291.90267) Full Text: DOI
Chen, Yuan-Yuan; Du, Shou-Qiang Nonlinear conjugate gradient methods with Wolfe type line search. (English) Zbl 1278.90374 Abstr. Appl. Anal. 2013, Article ID 742815, 5 p. (2013). MSC: 90C30 PDFBibTeX XMLCite \textit{Y.-Y. Chen} and \textit{S.-Q. Du}, Abstr. Appl. Anal. 2013, Article ID 742815, 5 p. (2013; Zbl 1278.90374) Full Text: DOI
Shamrai, N. B. Finding flow equilibrium with projective methods with decomposition and route generation. (English. Russian original) Zbl 1307.90049 Autom. Remote Control 73, No. 3, 547-560 (2012); translation from Avtom. Telemekh. 2012, No. 3, 150-165 (2012); erratum ibid. 73, No. 8, 1442 (2012). MSC: 90B20 49N90 90C33 PDFBibTeX XMLCite \textit{N. B. Shamrai}, Autom. Remote Control 73, No. 3, 547--560 (2012; Zbl 1307.90049); translation from Avtom. Telemekh. 2012, No. 3, 150--165 (2012); erratum ibid. 73, No. 8, 1442 (2012) Full Text: DOI
Cui, Zhaocheng; Wu, Boying A new modified nonmonotone adaptive trust region method for unconstrained optimization. (English) Zbl 1264.90158 Comput. Optim. Appl. 53, No. 3, 795-806 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{Z. Cui} and \textit{B. Wu}, Comput. Optim. Appl. 53, No. 3, 795--806 (2012; Zbl 1264.90158) Full Text: DOI
Li, Jiao; Yang, Yu-Fei; Yu, Bo A nonmonotone PSB algorithm for solving unconstrained optimization. (English) Zbl 1282.90179 Comput. Optim. Appl. 52, No. 1, 267-280 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Optim. Appl. 52, No. 1, 267--280 (2012; Zbl 1282.90179) Full Text: DOI
Qu, Shao-Jian; Goh, Mark; Zhang, Xiujie A new hybrid method for nonlinear complementarity problems. (English) Zbl 1242.90264 Comput. Optim. Appl. 49, No. 3, 493-520 (2011). MSC: 90C33 PDFBibTeX XMLCite \textit{S.-J. Qu} et al., Comput. Optim. Appl. 49, No. 3, 493--520 (2011; Zbl 1242.90264) Full Text: DOI
An, Xiao-Min; Li, Dong-Hui; Xiao, Yunhai Sufficient descent directions in unconstrained optimization. (English) Zbl 1242.90223 Comput. Optim. Appl. 48, No. 3, 515-532 (2011). MSC: 90C30 PDFBibTeX XMLCite \textit{X.-M. An} et al., Comput. Optim. Appl. 48, No. 3, 515--532 (2011; Zbl 1242.90223) Full Text: DOI
Pee, E. Y.; Royset, J. O. On solving large-scale finite minimax problems using exponential smoothing. (English) Zbl 1216.90097 J. Optim. Theory Appl. 148, No. 2, 390-421 (2011). MSC: 90C47 PDFBibTeX XMLCite \textit{E. Y. Pee} and \textit{J. O. Royset}, J. Optim. Theory Appl. 148, No. 2, 390--421 (2011; Zbl 1216.90097) Full Text: DOI
Wang, J. H. Convergence of Newton’s method for sections on Riemannian manifolds. (English) Zbl 1228.90155 J. Optim. Theory Appl. 148, No. 1, 125-145 (2011). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C53 PDFBibTeX XMLCite \textit{J. H. Wang}, J. Optim. Theory Appl. 148, No. 1, 125--145 (2011; Zbl 1228.90155) Full Text: DOI
Chen, Anthony; Oh, Jun-Seok; Park, Dongjoo; Recker, Will Solving the bicriteria traffic equilibrium problem with variable demand and nonlinear path costs. (English) Zbl 1202.90059 Appl. Math. Comput. 217, No. 7, 3020-3031 (2010). MSC: 90B20 90C33 90C30 90B10 PDFBibTeX XMLCite \textit{A. Chen} et al., Appl. Math. Comput. 217, No. 7, 3020--3031 (2010; Zbl 1202.90059) Full Text: DOI
Bnouhachem, Abdellah; Xu, M. H.; Fu, Xiao-Ling; Zhaohan, Sheng Modified extragradient methods for solving variational inequalities. (English) Zbl 1165.65359 Comput. Math. Appl. 57, No. 2, 230-239 (2009). MSC: 65K10 90C33 90C52 PDFBibTeX XMLCite \textit{A. Bnouhachem} et al., Comput. Math. Appl. 57, No. 2, 230--239 (2009; Zbl 1165.65359) Full Text: DOI
Zhu, Zhibin; Cai, Xiang; Jian, Jinbao An improved SQP algorithm for solving minimax problems. (English) Zbl 1189.90193 Appl. Math. Lett. 22, No. 4, 464-469 (2009). MSC: 90C47 90C55 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Appl. Math. Lett. 22, No. 4, 464--469 (2009; Zbl 1189.90193) Full Text: DOI
Shi, Zhen-Jun; Guo, Jinhua A new trust region method with adaptive radius. (English) Zbl 1216.90086 Comput. Optim. Appl. 41, No. 2, 225-242 (2008). MSC: 90C30 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{J. Guo}, Comput. Optim. Appl. 41, No. 2, 225--242 (2008; Zbl 1216.90086) Full Text: DOI
Zhang, Juliang; Wu, Lingyun; Zhang, Xiangsun A trust region method for optimization problem with singular solutions. (English) Zbl 1144.90020 Appl. Math. Optimization 56, No. 3, 379-394 (2007). MSC: 90C26 90C53 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Math. Optim. 56, No. 3, 379--394 (2007; Zbl 1144.90020) Full Text: DOI
Shi, Zhen-Jun; Shen, Jie Memory gradient method with Goldstein line search. (English) Zbl 1175.90416 Comput. Math. Appl. 53, No. 1, 28-40 (2007). MSC: 90C52 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{J. Shen}, Comput. Math. Appl. 53, No. 1, 28--40 (2007; Zbl 1175.90416) Full Text: DOI
Ulji; Chen, Guoqing New multiplier method for solving linear complementarity problems. (English) Zbl 1222.90069 Front. Math. China 1, No. 3, 368-381 (2006); translation from Numer. Math., Nanjing 26, No. 2, 162-171 (2004). MSC: 90C33 PDFBibTeX XMLCite \textit{Ulji} and \textit{G. Chen}, Front. Math. China 1, No. 3, 368--381 (2006; Zbl 1222.90069); translation from Numer. Math., Nanjing 26, No. 2, 162--171 (2004) Full Text: DOI
Li, J. X.; Zhang, H. W. Partitioning group correction Cholesky techniques for large scale sparse unconstrained optimization. (English) Zbl 1111.65053 Appl. Math. Comput. 182, No. 2, 1010-1020 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{J. X. Li} and \textit{H. W. Zhang}, Appl. Math. Comput. 182, No. 2, 1010--1020 (2006; Zbl 1111.65053) Full Text: DOI
Liu, Hongwei; Wang, Mingjie; Li, Jinshan; Zhang, Xiangsun Global convergence of the non-quasi-Newton method for unconstrained optimization problems. (English) Zbl 1106.65053 Appl. Math., Ser. B (Engl. Ed.) 21, No. 3, 276-288 (2006). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C53 90C30 PDFBibTeX XMLCite \textit{H. Liu} et al., Appl. Math., Ser. B (Engl. Ed.) 21, No. 3, 276--288 (2006; Zbl 1106.65053) Full Text: DOI
Sun, Qingying; Wang, Changyu; Shi, Zhenjun Global convergence of a modified gradient projection method for convex constrained problems. (English) Zbl 1130.90415 Acta Math. Appl. Sin., Engl. Ser. 22, No. 2, 227-242 (2006). MSC: 90C52 90C30 PDFBibTeX XMLCite \textit{Q. Sun} et al., Acta Math. Appl. Sin., Engl. Ser. 22, No. 2, 227--242 (2006; Zbl 1130.90415) Full Text: DOI
Ulji; Chen, Guo-Qing New simple smooth merit function for box constrained variational inequalities and damped Newton type method. (English) Zbl 1144.65309 Appl. Math. Mech., Engl. Ed. 26, No. 8, 1083-1092 (2005). MSC: 65K10 90C33 49J40 PDFBibTeX XMLCite \textit{Ulji} and \textit{G.-Q. Chen}, Appl. Math. Mech., Engl. Ed. 26, No. 8, 1083--1092 (2005; Zbl 1144.65309) Full Text: DOI
Ma, Changfeng A smoothing Broyden-like method for the mixed complementarity problems. (English) Zbl 1129.90054 Math. Comput. Modelling 41, No. 4-5, 523-538 (2005). MSC: 90C33 90C55 PDFBibTeX XMLCite \textit{C. Ma}, Math. Comput. Modelling 41, No. 4--5, 523--538 (2005; Zbl 1129.90054) Full Text: DOI
Ma, Changfeng; Kang, Tong A Jacobian smoothing method for box constrained variational inequality problems. (English) Zbl 1068.65089 Appl. Math. Comput. 162, No. 3, 1397-1429 (2005). Reviewer: J. Lovíšek (Bratislava) MSC: 65K10 49J40 90C33 PDFBibTeX XMLCite \textit{C. Ma} and \textit{T. Kang}, Appl. Math. Comput. 162, No. 3, 1397--1429 (2005; Zbl 1068.65089) Full Text: DOI
Noor, Muhammad Aslam Some developments in general variational inequalities. (English) Zbl 1134.49304 Appl. Math. Comput. 152, No. 1, 199-277 (2004). MSC: 49J40 47H10 47J20 49Q12 90C33 PDFBibTeX XMLCite \textit{M. A. Noor}, Appl. Math. Comput. 152, No. 1, 199--277 (2004; Zbl 1134.49304) Full Text: DOI
Xiu, Naihua; Zhang, Jianzhong Some recent advances in projection-type methods for variational inequalities. (English) Zbl 1018.65083 J. Comput. Appl. Math. 152, No. 1-2, 559-585 (2003). MSC: 65K10 49J40 90C33 PDFBibTeX XMLCite \textit{N. Xiu} and \textit{J. Zhang}, J. Comput. Appl. Math. 152, No. 1--2, 559--585 (2003; Zbl 1018.65083) Full Text: DOI
Liu, Shiping Multiple Schubert’s updating matrix and its compact representation. (English) Zbl 1045.65051 J. Shanghai Univ. 6, No. 4, 282-287 (2002). MSC: 65K05 90C30 65F10 65F50 90C53 PDFBibTeX XMLCite \textit{S. Liu}, J. Shanghai Univ. 6, No. 4, 282--287 (2002; Zbl 1045.65051) Full Text: DOI
Chen, Anthony; Lo, Hong K.; Yang, Hai A self-adaptive projection and contraction algorithm for the traffic assignment problem with path-specific costs. (English) Zbl 1077.90516 Eur. J. Oper. Res. 135, No. 1, 27-41 (2001). MSC: 90B20 90C35 PDFBibTeX XMLCite \textit{A. Chen} et al., Eur. J. Oper. Res. 135, No. 1, 27--41 (2001; Zbl 1077.90516) Full Text: DOI
Wang, Yiju; Xiu, Naihua; Wang, Changyu A new version of extragradient method for variational inequality problems. (English) Zbl 0993.49005 Comput. Math. Appl. 42, No. 6-7, 969-979 (2001). Reviewer: Muhammad Aslam Noor (Halifax) MSC: 49J40 65K05 90C33 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 42, No. 6--7, 969--979 (2001; Zbl 0993.49005) Full Text: DOI
Xu, Zeshui; Yue, Zhenjun Global convergence of the general three-term conjugate gradient methods with the relaxed strong Wolfe line-search. (English) Zbl 0974.65062 Appl. Math., Ser. B (Engl. Ed.) 16, No. 1, 58-62 (2001). Reviewer: F.Szidarovszky (Tucson) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{Z. Yue}, Appl. Math., Ser. B (Engl. Ed.) 16, No. 1, 58--62 (2001; Zbl 0974.65062) Full Text: DOI
Zhao, Shefeng; Fei, Pusheng Projection and contraction methods for nonlinear complementarity problem. (English) Zbl 0979.90113 Wuhan Univ. J. Nat. Sci. 5, No. 4, 391-396 (2000). MSC: 90C33 PDFBibTeX XMLCite \textit{S. Zhao} and \textit{P. Fei}, Wuhan Univ. J. Nat. Sci. 5, No. 4, 391--396 (2000; Zbl 0979.90113) Full Text: DOI
He, Bingsheng; Yang, Hai Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. (English) Zbl 0963.49006 Oper. Res. Lett. 23, No. 3-5, 151-161 (1998). MSC: 49J40 90C33 PDFBibTeX XMLCite \textit{B. He} and \textit{H. Yang}, Oper. Res. Lett. 23, No. 3--5, 151--161 (1998; Zbl 0963.49006) Full Text: DOI
He, Bingsheng A class of projection and contraction methods for monotone variational inequalities. (English) Zbl 0865.90119 Appl. Math. Optimization 35, No. 1, 69-76 (1997). MSC: 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{B. He}, Appl. Math. Optim. 35, No. 1, 69--76 (1997; Zbl 0865.90119) Full Text: DOI
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Xiu, Naihua A class of trust region methods for linear inequality constrained optimization and its theory analysis. II: Local convergence rate and numerical tests. (English) Zbl 0852.90121 Appl. Math., Ser. B (Engl. Ed.) 10, No. 4, 439-448 (1995). MSC: 90C30 PDFBibTeX XMLCite \textit{N. Xiu}, Appl. Math., Ser. B (Engl. Ed.) 10, No. 4, 439--448 (1995; Zbl 0852.90121) Full Text: DOI