Pei, Yonggang; Song, Shaofang; Zhu, Detong A filter sequential adaptive cubic regularization algorithm for nonlinear constrained optimization. (English) Zbl 07720452 Numer. Algorithms 93, No. 4, 1481-1507 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{Y. Pei} et al., Numer. Algorithms 93, No. 4, 1481--1507 (2023; Zbl 07720452) Full Text: DOI
Pei, Yong Gang; Zhu, De Tong On the global convergence of a projective trust region algorithm for nonlinear equality constrained optimization. (English) Zbl 1414.90329 Acta Math. Sin., Engl. Ser. 34, No. 12, 1804-1828 (2018). MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{Y. G. Pei} and \textit{D. T. Zhu}, Acta Math. Sin., Engl. Ser. 34, No. 12, 1804--1828 (2018; Zbl 1414.90329) Full Text: DOI
Gu, Chao; Zhu, Detong; Pei, Yonggang A new inexact SQP algorithm for nonlinear systems of mixed equalities and inequalities. (English) Zbl 1410.90199 Numer. Algorithms 78, No. 4, 1233-1253 (2018). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{C. Gu} et al., Numer. Algorithms 78, No. 4, 1233--1253 (2018; Zbl 1410.90199) Full Text: DOI
Wang, Zhu-jun; Zhu, De-tong; Nie, Cun-yun A filter line search algorithm based on an inexact Newton method for nonconvex equality constrained optimization. (English) Zbl 1372.65184 Acta Math. Appl. Sin., Engl. Ser. 33, No. 3, 687-698 (2017). MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{Z.-j. Wang} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 3, 687--698 (2017; Zbl 1372.65184) Full Text: DOI
Wang, Jueyu; Zhu, Detong Derivative-free restrictively preconditioned conjugate gradient path method without line search technique for solving linear equality constrained optimization. (English) Zbl 1368.90184 Comput. Math. Appl. 73, No. 2, 277-293 (2017). MSC: 90C53 90C30 90C55 PDFBibTeX XMLCite \textit{J. Wang} and \textit{D. Zhu}, Comput. Math. Appl. 73, No. 2, 277--293 (2017; Zbl 1368.90184) Full Text: DOI
Pang, Lili; Zhu, Detong A line search filter-SQP method with Lagrangian function for nonlinear inequality constrained optimization. (English) Zbl 1370.49031 Japan J. Ind. Appl. Math. 34, No. 1, 141-176 (2017). MSC: 49M37 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{L. Pang} and \textit{D. Zhu}, Japan J. Ind. Appl. Math. 34, No. 1, 141--176 (2017; Zbl 1370.49031) Full Text: DOI
Huang, Xiaojin; Zhu, Detong An interior affine scaling cubic regularization algorithm for derivative-free optimization subject to bound constraints. (English) Zbl 1365.49030 J. Comput. Appl. Math. 321, 108-127 (2017). MSC: 49M37 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{X. Huang} and \textit{D. Zhu}, J. Comput. Appl. Math. 321, 108--127 (2017; Zbl 1365.49030) Full Text: DOI
Pei, Yonggang; Zhu, Detong Local convergence of a trust-region algorithm with line search filter technique for nonlinear constrained optimization. (English) Zbl 1410.49036 Appl. Math. Comput. 273, 797-808 (2016). MSC: 49M37 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{Y. Pei} and \textit{D. Zhu}, Appl. Math. Comput. 273, 797--808 (2016; Zbl 1410.49036) Full Text: DOI
Wang, Jueyu; Zhu, Detong Conjugate gradient path method without line search technique for derivative-free unconstrained optimization. (English) Zbl 1355.49030 Numer. Algorithms 73, No. 4, 957-983 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 49M37 65K05 90C30 90C55 90C56 PDFBibTeX XMLCite \textit{J. Wang} and \textit{D. Zhu}, Numer. Algorithms 73, No. 4, 957--983 (2016; Zbl 1355.49030) Full Text: DOI
Pei, Yonggang; Zhu, Detong An affine scaling interior trust-region algorithm combining backtracking line search with filter technique for nonlinear constrained optimization. (English) Zbl 1328.49033 Numer. Funct. Anal. Optim. 36, No. 8, 1046-1066 (2015). MSC: 49M37 49M27 90C30 90C51 90C55 65K05 PDFBibTeX XMLCite \textit{Y. Pei} and \textit{D. Zhu}, Numer. Funct. Anal. Optim. 36, No. 8, 1046--1066 (2015; Zbl 1328.49033) Full Text: DOI
Wang, Zhujun; Zhu, Detong A class of improved affine-scaling interior-point secant filter methods for minimization with equality and box constraints. (English) Zbl 1318.49063 J. Appl. Math. Comput. 47, No. 1-2, 133-151 (2015). MSC: 49M37 90C51 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{D. Zhu}, J. Appl. Math. Comput. 47, No. 1--2, 133--151 (2015; Zbl 1318.49063) Full Text: DOI
Pei, Yonggang; Zhu, Detong A trust-region algorithm combining line search filter method with Lagrange merit function for nonlinear constrained optimization. (English) Zbl 1338.90461 Appl. Math. Comput. 247, 281-300 (2014). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{Y. Pei} and \textit{D. Zhu}, Appl. Math. Comput. 247, 281--300 (2014; Zbl 1338.90461) Full Text: DOI
Gu, Chao; Zhu, Detong A dwindling filter trust region algorithm for nonlinear optimization. (English) Zbl 1334.90164 Appl. Math. Comput. 240, 72-81 (2014). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{C. Gu} and \textit{D. Zhu}, Appl. Math. Comput. 240, 72--81 (2014; Zbl 1334.90164) Full Text: DOI
Pei, Yonggang; Zhu, Detong A trust-region algorithm combining line search filter technique for nonlinear constrained optimization. (English) Zbl 1304.49067 Int. J. Comput. Math. 91, No. 8, 1817-1839 (2014). MSC: 49M37 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{Y. Pei} and \textit{D. Zhu}, Int. J. Comput. Math. 91, No. 8, 1817--1839 (2014; Zbl 1304.49067) Full Text: DOI
Wang, G. Q.; Zhang, Z. H.; Zhu, D. T. On extending primal-dual interior-point method for linear optimization to convex quadratic symmetric cone optimization. (English) Zbl 1332.90190 Numer. Funct. Anal. Optim. 34, No. 5, 576-603 (2013). MSC: 90C22 90C51 PDFBibTeX XMLCite \textit{G. Q. Wang} et al., Numer. Funct. Anal. Optim. 34, No. 5, 576--603 (2013; Zbl 1332.90190) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Cai} and \textit{D. Zhu}, J. Syst. Sci. Complex. 25, No. 5, 950--963 (2012; Zbl 1269.49057) Full Text: DOI
Wang, Guoqiang; Zhu, Detong A unified kernel function approach to primal-dual interior-point algorithms for convex quadratic SDO. (English) Zbl 1223.65046 Numer. Algorithms 57, No. 4, 537-558 (2011). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C51 90C20 90C25 90C22 PDFBibTeX XMLCite \textit{G. Wang} and \textit{D. Zhu}, Numer. Algorithms 57, No. 4, 537--558 (2011; Zbl 1223.65046) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Gu} and \textit{D. Zhu}, Numer. Algorithms 56, No. 4, 537--559 (2011; Zbl 1216.65071) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Gu} and \textit{D. Zhu}, Int. J. Comput. Math. 87, No. 15, 3489--3506 (2010; Zbl 1207.65081) Full Text: DOI
Wang, Zhujun; Zhu, Detong An affine scaling interior point filter line-search algorithm for linear inequality constrained minimization. (English) Zbl 1208.49040 Numer. Funct. Anal. Optim. 31, No. 8, 955-973 (2010). MSC: 49M37 65K05 90C30 90C51 90C55 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{D. Zhu}, Numer. Funct. Anal. Optim. 31, No. 8, 955--973 (2010; Zbl 1208.49040) Full Text: DOI
Wang, Zhujun; Zhu, Detong A filter-line-search method for unconstrained optimization. (English) Zbl 1207.49039 J. Appl. Math. Comput. 34, No. 1-2, 329-342 (2010). MSC: 49M37 65K05 90C30 90C51 90C55 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{D. Zhu}, J. Appl. Math. Comput. 34, No. 1--2, 329--342 (2010; Zbl 1207.49039) Full Text: DOI
Gu, Chao; Zhu, Detong A filter interior-point algorithm with projected Hessian updating for nonlinear optimization. (English) Zbl 1172.49019 J. Appl. Math. Comput. 29, No. 1-2, 67-80 (2009). MSC: 49M37 65K05 90C30 90C51 90C55 PDFBibTeX XMLCite \textit{C. Gu} and \textit{D. Zhu}, J. Appl. Math. Comput. 29, No. 1--2, 67--80 (2009; Zbl 1172.49019) Full Text: DOI
Zhu, Detong Projected Hessian algorithm with backtracking interior point technique for linear constrained optimization. (English) Zbl 1222.90062 Front. Math. China 1, No. 4, 620-628 (2006); reprinted from J. Shanghai Normal Univ. Nat. Sci. 32, No. 4, 7-13 (2003). MSC: 90C30 90C51 90C55 65K05 PDFBibTeX XMLCite \textit{D. Zhu}, Front. Math. China 1, No. 4, 620--628 (2006; Zbl 1222.90062) Full Text: DOI
Zhu, Detong An affine scaling trust-region algorithm with interior backtracking technique for solving bound-constrained nonlinear systems. (English) Zbl 1087.65047 J. Comput. Appl. Math. 184, No. 2, 343-361 (2005). Reviewer: Zhen Mei (Toronto) MSC: 65H10 65K05 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 184, No. 2, 343--361 (2005; Zbl 1087.65047) Full Text: DOI
Zhu, Detong Interior point projected reduced Hessian method with trust region strategy for nonlinear constrained optimization. (English) Zbl 1190.90227 Appl. Math., Ser. B (Engl. Ed.) 19, No. 3, 311-326 (2004). MSC: 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math., Ser. B (Engl. Ed.) 19, No. 3, 311--326 (2004; Zbl 1190.90227) Full Text: DOI
Zhu, Detong Minimum discrimination information problems via generalized geometric programming. (English) Zbl 1052.90053 Appl. Math., Ser. B (Engl. Ed.) 18, No. 1, 103-114 (2003). MSC: 90C20 90C46 90C30 62B10 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math., Ser. B (Engl. Ed.) 18, No. 1, 103--114 (2003; Zbl 1052.90053) Full Text: DOI
Zhu, Detong A family of improved secant methods via nonmonotone curvilinear paths technique for equality constrained optimization. (English) Zbl 0989.65064 J. Comput. Appl. Math. 136, No. 1-2, 73-97 (2001). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 136, No. 1--2, 73--97 (2001; Zbl 0989.65064) Full Text: DOI
Zhu, Detong Curvilinear paths and trust region methods with nonmonotonic back tracking technique for unconstrained optimization. (English) Zbl 0984.65059 J. Comput. Math. 19, No. 3, 241-258 (2001). Reviewer: J.Lovíšek (Bratislava) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Math. 19, No. 3, 241--258 (2001; Zbl 0984.65059)