Wang, Peng; Zhu, Detong A derivative-free modified tensor method with curvilinear linesearch for unconstrained nonlinear programming. (English) Zbl 07814973 Optimization 73, No. 3, 597-621 (2024). MSC: 90C30 90C56 65K05 PDFBibTeX XMLCite \textit{P. Wang} and \textit{D. Zhu}, Optimization 73, No. 3, 597--621 (2024; Zbl 07814973) Full Text: DOI
Li, Dan; Zhu, Detong An affine scaling interior trust-region method combining with nonmonotone line search filter technique for linear inequality constrained minimization. (English) Zbl 1499.90220 Int. J. Comput. Math. 95, No. 8, 1494-1526 (2018). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{D. Li} and \textit{D. Zhu}, Int. J. Comput. Math. 95, No. 8, 1494--1526 (2018; Zbl 1499.90220) Full Text: DOI
Wang, Yunjuan; Zhu, Detong An affine scaling optimal path method with interior backtracking curvilinear technique for linear constrained optimization. (English) Zbl 1160.65030 Appl. Math. Comput. 207, No. 1, 178-196 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{D. Zhu}, Appl. Math. Comput. 207, No. 1, 178--196 (2009; Zbl 1160.65030) Full Text: DOI
Guo, Peihua; Zhu, Detong Nonmonotonic reduced projected Hessian method via an affine scaling interior modified gradient path for bounded-constrained optimization. (English) Zbl 1176.65073 J. Syst. Sci. Complex. 21, No. 1, 85-113 (2008). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{P. Guo} and \textit{D. Zhu}, J. Syst. Sci. Complex. 21, No. 1, 85--113 (2008; Zbl 1176.65073) Full Text: DOI
Zhu, Detong An affine scaling reduced preconditional conjugate gradient path method for linear constrained optimization. (English) Zbl 1122.65056 Appl. Math. Comput. 184, No. 2, 181-198 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 184, No. 2, 181--198 (2007; Zbl 1122.65056) 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 interior trust-region method for \(LC^{1}\) minimization subject to bounds on variables. (English) Zbl 1091.65059 Appl. Math. Comput. 172, No. 2, 1272-1302 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C51 90C30 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 172, No. 2, 1272--1302 (2006; Zbl 1091.65059) Full Text: DOI
Zhu, Detong Affine scaling inexact generalized Newton algorithm with interior backtracking technique for solving bound-constrained semismooth equations. (English) Zbl 1080.90073 J. Comput. Appl. Math. 187, No. 2, 227-252 (2006). MSC: 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 187, No. 2, 227--252 (2006; Zbl 1080.90073) 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 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 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 166, No. 1, 131--163 (2005; Zbl 1078.65057) Full Text: DOI
Zhu, Detong An interior affine scaling projective algorithm for nonlinear equality and linear inequality constrained optimization. (English) Zbl 1070.65045 J. Comput. Appl. Math. 173, No. 1, 115-148 (2005). Reviewer: H. Ratschek (Düsseldorf) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 173, No. 1, 115--148 (2005; Zbl 1070.65045) 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 A new affine scaling interior point algorithm for nonlinear optimization subject to linear equality and inequality constraints. (English) Zbl 1050.65064 J. Comput. Appl. Math. 161, No. 1, 1-25 (2003). Reviewer: S. Zlobec (Montreal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 161, No. 1, 1--25 (2003; Zbl 1050.65064) Full Text: DOI
Zhu, Detong Nonmonotonic back-tracking trust region interior point algorithm for linear constrained optimization. (English) Zbl 1028.65065 J. Comput. Appl. Math. 155, No. 2, 285-305 (2003). Reviewer: Nada Djuranović-Miličić (Beograd) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 155, No. 2, 285--305 (2003; Zbl 1028.65065) Full Text: DOI
Zhu, Detong Secant algorithms with nonmonotone trust region that employs Fletcher penalty function for constrained optimization. (English) Zbl 1049.90093 Optimization 50, No. 1-2, 121-153 (2001). MSC: 90C30 65K10 PDFBibTeX XMLCite \textit{D. Zhu}, Optimization 50, No. 1--2, 121--153 (2001; Zbl 1049.90093) Full Text: DOI
Zhu, Detong Convergence properties of improved secant methods with region multiplier. (English) Zbl 0960.90085 Appl. Math., Ser. B (Engl. Ed.) 15, No. 2, 225-238 (2000). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math., Ser. B (Engl. Ed.) 15, No. 2, 225--238 (2000; Zbl 0960.90085) Full Text: DOI
Zhu, D. T. Convergence of a projected gradient method with trust region for nonlinear constrained optimization. (English) Zbl 0814.65061 Optimization 23, No. 3, 215-235 (1992). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{D. T. Zhu}, Optimization 23, No. 3, 215--235 (1992; Zbl 0814.65061) Full Text: DOI
Zhang, Jianzhong; Zhu, Detong A trust region typed dogleg method for nonlinear optimization. (English) Zbl 0723.90068 Optimization 21, No. 4, 543-557 (1990). Reviewer: A.Žilinskas (Vilnius) MSC: 90C30 49M30 65K05 90-08 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{D. Zhu}, Optimization 21, No. 4, 543--557 (1990; Zbl 0723.90068) Full Text: DOI
Zhang, J. Z.; Zhu, D. T. Projected quasi-Newton algorithm with trust region for constrained optimization. (English) Zbl 0696.90050 J. Optimization Theory Appl. 67, No. 2, 369-393 (1990). Reviewer: J.Z.Zhang MSC: 90C30 49M30 65K05 49M15 90-08 PDFBibTeX XMLCite \textit{J. Z. Zhang} and \textit{D. T. Zhu}, J. Optim. Theory Appl. 67, No. 2, 369--393 (1990; Zbl 0696.90050) Full Text: DOI