Wang, Zhujun; Cai, Li; Zhu, Detong Line search filter inexact secant methods for nonlinear equality constrained optimization. (English) Zbl 1410.49038 Appl. Math. Comput. 263, 47-58 (2015). MSC: 49M37 65K05 90C30 PDF BibTeX XML Cite \textit{Z. Wang} et al., Appl. Math. Comput. 263, 47--58 (2015; Zbl 1410.49038) Full Text: DOI OpenURL
Sun, Zhongbo; Duan, Fujian; Xu, Chunling; Tian, Yantao A superlinearly convergent trust region-SQP algorithm for inequality constrained optimization. (Chinese. English summary) Zbl 1324.90155 Acta Math. Appl. Sin. 37, No. 5, 878-890 (2014). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{Z. Sun} et al., Acta Math. Appl. Sin. 37, No. 5, 878--890 (2014; Zbl 1324.90155) OpenURL
Gu, Chao A dwindling filter inexact projected Hessian algorithm for large scale nonlinear constrained optimization. (English) Zbl 1302.65154 Appl. Math. Comput. 219, No. 23, 10898-10908 (2013). MSC: 65K10 90C30 90C06 PDF BibTeX XML Cite \textit{C. Gu}, Appl. Math. Comput. 219, No. 23, 10898--10908 (2013; Zbl 1302.65154) Full Text: DOI OpenURL
Gu, Chao; Zhu, Detong A nonmonotone line search filter method with reduced Hessian updating for nonlinear optimization. (English) Zbl 1292.90279 J. Syst. Sci. Complex. 26, No. 4, 534-555 (2013). MSC: 90C30 93A15 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, J. Syst. Sci. Complex. 26, No. 4, 534--555 (2013; Zbl 1292.90279) Full Text: DOI OpenURL
Cai, Li; Zhu, Detong A line search filter inexact SQP method for nonlinear equality constrained optimization. (English) Zbl 1269.49057 J. Syst. Sci. Complex. 25, No. 5, 950-963 (2012). MSC: 49M30 93A15 93C10 PDF BibTeX XML Cite \textit{L. Cai} and \textit{D. Zhu}, J. Syst. Sci. Complex. 25, No. 5, 950--963 (2012; Zbl 1269.49057) Full Text: DOI OpenURL
Wang, Zhujun; Zhu, Detong A class of line search filter improved secant methods for nonlinear equality constrained optimization. (Chinese. English summary) Zbl 1274.90397 Acta Math. Appl. Sin. 35, No. 3, 483-502 (2012). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{D. Zhu}, Acta Math. Appl. Sin. 35, No. 3, 483--502 (2012; Zbl 1274.90397) OpenURL
Wang, Zhujun; Zhu, Detong A reduced Hessian algorithm with line search filter method for nonlinear programming. (English) Zbl 1226.65059 Appl. Math. Comput. 217, No. 19, 7679-7691 (2011). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{D. Zhu}, Appl. Math. Comput. 217, No. 19, 7679--7691 (2011; Zbl 1226.65059) Full Text: DOI OpenURL
Gu, Chao; Zhu, Detong A non-monotone line search multidimensional filter-SQP method for general nonlinear programming. (English) Zbl 1216.65071 Numer. Algorithms 56, No. 4, 537-559 (2011). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, Numer. Algorithms 56, No. 4, 537--559 (2011; Zbl 1216.65071) Full Text: DOI OpenURL
Gu, Chao; Zhu, Detong A secant algorithm with line search filter method for nonlinear optimization. (English) Zbl 1205.90007 Appl. Math. Modelling 35, No. 2, 879-894 (2011). MSC: 90-04 90C30 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, Appl. Math. Modelling 35, No. 2, 879--894 (2011; Zbl 1205.90007) Full Text: DOI OpenURL
Chen, Yu; Xie, Xiao-Liang A globally and superlinearly convergent feasible SQP algorithm for degenerate constrained optimization. (English) Zbl 1294.65061 J. Appl. Math. Inform. 28, No. 3-4, 823-835 (2010). MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{X.-L. Xie}, J. Appl. Math. Inform. 28, No. 3--4, 823--835 (2010; Zbl 1294.65061) OpenURL
Gu, Chao; Zhu, Detong A nonmonotone SQP-filter method for equality constrained optimization. (English) Zbl 1207.65081 Int. J. Comput. Math. 87, No. 15, 3489-3506 (2010). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C55 90C30 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, Int. J. Comput. Math. 87, No. 15, 3489--3506 (2010; Zbl 1207.65081) Full Text: DOI OpenURL
Jin, Zhong; Wang, Yuqing A simple feasible SQP method for inequality constrained optimization with global and superlinear convergence. (English) Zbl 1188.65081 J. Comput. Appl. Math. 233, No. 11, 3060-3073 (2010). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C55 90C30 PDF BibTeX XML Cite \textit{Z. Jin} and \textit{Y. Wang}, J. Comput. Appl. Math. 233, No. 11, 3060--3073 (2010; Zbl 1188.65081) Full Text: DOI OpenURL
Izmailov, A. F. A new technique for avoiding the Maratos effect. (Russian) Zbl 1199.65205 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 2, 241-254 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65K05 90C55 90C53 PDF BibTeX XML Cite \textit{A. F. Izmailov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 2, 241--254 (2009; Zbl 1199.65205) OpenURL
Hu, Qing-Jie; Chen, Yu; Chen, Nei-Ping; Li, Xue-Quan A modified SQP algorithm for minimax problems. (English) Zbl 1178.90345 J. Math. Anal. Appl. 360, No. 1, 211-222 (2009). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C47 90C55 PDF BibTeX XML Cite \textit{Q.-J. Hu} et al., J. Math. Anal. Appl. 360, No. 1, 211--222 (2009; Zbl 1178.90345) Full Text: DOI OpenURL
Jian, Jin-Bao; Ke, Xiao-Yan; Cheng, Wei-Xin A superlinearly convergent norm-relaxed SQP method of strongly sub-feasible directions for constrained optimization without strict complementarity. (English) Zbl 1180.65077 Appl. Math. Comput. 214, No. 2, 632-644 (2009). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{J.-B. Jian} et al., Appl. Math. Comput. 214, No. 2, 632--644 (2009; Zbl 1180.65077) Full Text: DOI OpenURL
Hu, Qing-Jie; Chen, Wan-You; Xiao, Yun-Hai An improved active set feasible SQP algorithm for the solution of inequality constrained optimization problems. (English) Zbl 1170.65050 J. Comput. Anal. Appl. 11, No. 1, 54-63 (2009). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{Q.-J. Hu} et al., J. Comput. Anal. Appl. 11, No. 1, 54--63 (2009; Zbl 1170.65050) OpenURL
Fabien, Brian C. Parameter optimization using the \(L_\infty \) exact penalty function and strictly convex quadratic programming problems. (English) Zbl 1138.65045 Appl. Math. Comput. 198, No. 2, 833-848 (2008). MSC: 65K05 90C30 90C55 90C25 90C20 90-04 PDF BibTeX XML Cite \textit{B. C. Fabien}, Appl. Math. Comput. 198, No. 2, 833--848 (2008; Zbl 1138.65045) Full Text: DOI OpenURL
Hu, Yunhong; Ren, Hualing An improvement SQP algorithm by using augmented Lagrangian function. (Chinese. English summary) Zbl 1164.90381 Math. Pract. Theory 37, No. 17, 105-111 (2007). MSC: 90C20 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{H. Ren}, Math. Pract. Theory 37, No. 17, 105--111 (2007; Zbl 1164.90381) OpenURL
Wang, Hua; Gui, Shenghua Trust region filter SQP method for nonlinear programming:local convergence. (Chinese. English summary) Zbl 1150.65374 J. Shanghai Second Polytech. Univ. 24, No. 4, 306-316 (2007). MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{H. Wang} and \textit{S. Gui}, J. Shanghai Second Polytech. Univ. 24, No. 4, 306--316 (2007; Zbl 1150.65374) OpenURL
Hu, Qing-Jie; Hu, Ju-Zhou A sequential quadratic programming algorithm for nonlinear minimax problems. (English) Zbl 1146.90088 Bull. Aust. Math. Soc. 76, No. 3, 353-368 (2007). MSC: 90C47 90C55 65K10 PDF BibTeX XML Cite \textit{Q.-J. Hu} and \textit{J.-Z. Hu}, Bull. Aust. Math. Soc. 76, No. 3, 353--368 (2007; Zbl 1146.90088) Full Text: DOI OpenURL
Che, Jianren; Su, Ke A modified SQP method and its global convergence. (English) Zbl 1118.65060 Appl. Math. Comput. 186, No. 2, 945-951 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{J. Che} and \textit{K. Su}, Appl. Math. Comput. 186, No. 2, 945--951 (2007; Zbl 1118.65060) Full Text: DOI OpenURL
Hu, Qingjie; Xiao, Yunhai; Chen, Y. An active set sequential quadratic programming algorithm for nonlinear optimisation. (English) Zbl 1123.65057 Bull. Aust. Math. Soc. 74, No. 1, 69-83 (2006). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{Q. Hu} et al., Bull. Aust. Math. Soc. 74, No. 1, 69--83 (2006; Zbl 1123.65057) Full Text: DOI OpenURL
Nie, Pu-yan; Ma, Chang-feng A trust region filter method for general non-linear programming. (English) Zbl 1094.65060 Appl. Math. Comput. 172, No. 2, 1000-1017 (2006). Reviewer: Vincentiu Dumitru (Bucureşti) MSC: 65K05 90C26 90C51 90C30 90C29 PDF BibTeX XML Cite \textit{P.-y. Nie} and \textit{C.-f. Ma}, Appl. Math. Comput. 172, No. 2, 1000--1017 (2006; Zbl 1094.65060) Full Text: DOI OpenURL
Wächter, Andreas; Biegler, Lorenz T. Line search filter methods for nonlinear programming: local convergence. (English) Zbl 1115.90056 SIAM J. Optim. 16, No. 1, 32-48 (2005). MSC: 90C30 49M37 65K05 90C55 PDF BibTeX XML Cite \textit{A. Wächter} and \textit{L. T. Biegler}, SIAM J. Optim. 16, No. 1, 32--48 (2005; Zbl 1115.90056) Full Text: DOI OpenURL
Zhu, Detong An affine scaling projective reduced Hessian algorithm for minimum optimization with nonlinear equality and linear inequality constraints. (English) Zbl 1078.65057 Appl. Math. Comput. 166, No. 1, 131-163 (2005). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C26 90C51 PDF BibTeX XML Cite \textit{D. Zhu}, Appl. Math. Comput. 166, No. 1, 131--163 (2005; Zbl 1078.65057) Full Text: DOI OpenURL
Solodov, M. V. On the sequential quadratically constrained quadratic programming methods. (English) Zbl 1082.90140 Math. Oper. Res. 29, No. 1, 64-79 (2004). MSC: 90C55 90C30 PDF BibTeX XML Cite \textit{M. V. Solodov}, Math. Oper. Res. 29, No. 1, 64--79 (2004; Zbl 1082.90140) Full Text: DOI Link OpenURL
Fukushima, Masao; Luo, Zhi-Quan; Tseng, Paul A sequential quadratically constrained quadratic programming method for differentiable convex minimization. (English) Zbl 1060.90077 SIAM J. Optim. 13, No. 4, 1098-1119 (2003). Reviewer: Stefan Mititelu (Bucureşti) MSC: 90C55 65K05 90C25 PDF BibTeX XML Cite \textit{M. Fukushima} et al., SIAM J. Optim. 13, No. 4, 1098--1119 (2003; Zbl 1060.90077) Full Text: DOI OpenURL
Yu, Y. H.; Gao, L. Nonmonotone line search algorithm for constrained minimax problems. (English) Zbl 1039.90089 J. Optimization Theory Appl. 115, No. 2, 419-446 (2002). MSC: 90C47 90C55 PDF BibTeX XML Cite \textit{Y. H. Yu} and \textit{L. Gao}, J. Optim. Theory Appl. 115, No. 2, 419--446 (2002; Zbl 1039.90089) Full Text: DOI OpenURL
He, G. P.; Diao, B. Q.; Gao, Z. Y. An SQP algorithm with nonmonotone line search for general nonlinear constrained optimization problem. (English) Zbl 0878.65049 J. Comput. Math. 15, No. 2, 179-192 (1997). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{G. P. He} et al., J. Comput. Math. 15, No. 2, 179--192 (1997; Zbl 0878.65049) OpenURL
Jäger, H.; Sachs, E. W. Global convergence of inexact reduced SQP methods. (English) Zbl 0886.49025 Optim. Methods Softw. 7, No. 2, 83-110 (1997). MSC: 90C20 90C48 PDF BibTeX XML Cite \textit{H. Jäger} and \textit{E. W. Sachs}, Optim. Methods Softw. 7, No. 2, 83--110 (1997; Zbl 0886.49025) Full Text: DOI OpenURL
Facchinei, Francisco Minimization of \(SC^ 1\) functions and the Maratos effect. (English) Zbl 0843.90108 Oper. Res. Lett. 17, No. 3, 131-137 (1995). MSC: 90C30 PDF BibTeX XML Cite \textit{F. Facchinei}, Oper. Res. Lett. 17, No. 3, 131--137 (1995; Zbl 0843.90108) Full Text: DOI OpenURL
Zhu, Detong A nonmonotonic trust region technique for nonlinear constrained optimization. (English) Zbl 0822.65039 J. Comput. Math. 13, No. 1, 20-31 (1995). Reviewer: P.Pan (Nanjing) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{D. Zhu}, J. Comput. Math. 13, No. 1, 20--31 (1995; Zbl 0822.65039) OpenURL
Zhou, J. L.; Tits, A. L. Nonmonotone line search for minimax problems. (English) Zbl 0792.90079 J. Optimization Theory Appl. 76, No. 3, 455-476 (1993). MSC: 90C30 49J35 PDF BibTeX XML Cite \textit{J. L. Zhou} and \textit{A. L. Tits}, J. Optim. Theory Appl. 76, No. 3, 455--476 (1993; Zbl 0792.90079) Full Text: DOI OpenURL
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L. Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. (English) Zbl 0763.65042 SIAM J. Numer. Anal. 29, No. 4, 1187-1202 (1992). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. F. Bonnans} et al., SIAM J. Numer. Anal. 29, No. 4, 1187--1202 (1992; Zbl 0763.65042) Full Text: DOI OpenURL
Panier, Eliane R.; Tits, André L. Avoiding the Maratos effect by means of a nonmonotone line search. I: General constrained problems. (English) Zbl 0732.65055 SIAM J. Numer. Anal. 28, No. 4, 1183-1195 (1991). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 65K05 90C30 90C20 PDF BibTeX XML Cite \textit{E. R. Panier} and \textit{A. L. Tits}, SIAM J. Numer. Anal. 28, No. 4, 1183--1195 (1991; Zbl 0732.65055) Full Text: DOI OpenURL
Blanchon, G.; Bonnans, J. F.; Dodu, J. C. Application d’une méthode de programmation quadratique successive à l’optimisation des puissances dans les réseaux électriques de grande taille. (Application of a successive quadratic programming method to the optimization of power flows in large-scale electrical networks). (French) Zbl 0729.90058 Bull. Dir. Etud. Rech., Sér. C 1991, No. 2, 67-101 (1991). MSC: 90B90 90C90 90C20 90-08 PDF BibTeX XML Cite \textit{G. Blanchon} et al., Bull. Dir. Étud. Rech., Sér. C 1991, No. 2, 67--101 (1991; Zbl 0729.90058) OpenURL
Lai, Yanlian; He, Guoping A constrained variable metric algorithm with second order corrections. (Chinese. English summary) Zbl 0711.65044 J. Syst. Sci. Math. Sci. 10, No. 3, 216-227 (1990). Reviewer: H.T.Lau MSC: 65K05 90C20 PDF BibTeX XML Cite \textit{Y. Lai} and \textit{G. He}, J. Syst. Sci. Math. Sci. 10, No. 3, 216--227 (1990; Zbl 0711.65044) OpenURL
Yamakawa, Eiki; Fukushima, Masao; Ibaraki, Toshihide An efficient trust region algorithm for minimizing nondifferentiable composite functions. (English) Zbl 0672.65037 SIAM J. Sci. Stat. Comput. 10, No. 3, 562-580 (1989). Reviewer: Xu Chengxian MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{E. Yamakawa} et al., SIAM J. Sci. Stat. Comput. 10, No. 3, 562--580 (1989; Zbl 0672.65037) Full Text: DOI OpenURL
Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. A trust region algorithm for nonlinearly constrained optimization. (English) Zbl 0631.65068 SIAM J. Numer. Anal. 24, 1152-1170 (1987). Reviewer: N.Djuranović-Miličić MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{R. H. Byrd} et al., SIAM J. Numer. Anal. 24, 1152--1170 (1987; Zbl 0631.65068) Full Text: DOI Link OpenURL
Herskovits, J. N.; Carvalho, L. A. V. A successive quadratic programming based feasible directions algorithm. (English) Zbl 0597.90079 Analysis and optimization of systems, Proc. 7th Int. Conf., Antibes/France 1986, Lect. Notes Control Inf. Sci. 83, 93-101 (1986). MSC: 90C30 49M37 65K05 PDF BibTeX XML OpenURL
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Powell, M. J. D. Variable metric methods for constrained optimization. (English) Zbl 0536.90076 Mathematical programming, 11th int. Symp., Bonn 1982, 288-311 (1983). MSC: 90C30 49M37 65K05 PDF BibTeX XML OpenURL