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Zhu, Honglan; Ni, Qin; Zhang, Xuebing A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization. (English) Zbl 1503.90142 J. Inequal. Appl. 2020, Paper No. 25, 19 p. (2020). MSC: 90C32 65K05 90C53 90C55 PDFBibTeX XMLCite \textit{H. Zhu} et al., J. Inequal. Appl. 2020, Paper No. 25, 19 p. (2020; Zbl 1503.90142) Full Text: DOI
Wu, Song; Wang, Haijun A modified Newton-like method for nonlinear equations. (English) Zbl 1463.65119 Comput. Appl. Math. 39, No. 3, Paper No. 238, 18 p. (2020). MSC: 65H10 PDFBibTeX XMLCite \textit{S. Wu} and \textit{H. Wang}, Comput. Appl. Math. 39, No. 3, Paper No. 238, 18 p. (2020; Zbl 1463.65119) Full Text: DOI
Zhao, Lijuan Nonmonotone conic trust region method with line search technique for bound constrained optimization. (English) Zbl 1461.65192 RAIRO, Oper. Res. 53, No. 3, 787-805 (2019). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{L. Zhao}, RAIRO, Oper. Res. 53, No. 3, 787--805 (2019; Zbl 1461.65192) Full Text: DOI
Li, Yufei; Liu, Zexian; Liu, Hongwei A subspace minimization conjugate gradient method based on conic model for unconstrained optimization. (English) Zbl 1438.90329 Comput. Appl. Math. 38, No. 1, Paper No. 16, 28 p. (2019). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{Y. Li} et al., Comput. Appl. Math. 38, No. 1, Paper No. 16, 28 p. (2019; Zbl 1438.90329) Full Text: DOI
Liu, Zexian; Liu, Hongwei An efficient gradient method with approximate optimal stepsize for large-scale unconstrained optimization. (English) Zbl 1397.90270 Numer. Algorithms 78, No. 1, 21-39 (2018). MSC: 90C06 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{H. Liu}, Numer. Algorithms 78, No. 1, 21--39 (2018; Zbl 1397.90270) Full Text: DOI
Ahookhosh, Masoud; Ghaderi, Susan Two globally convergent nonmonotone trust-region methods for unconstrained optimization. (English) Zbl 1330.90102 J. Appl. Math. Comput. 50, No. 1-2, 529-555 (2016). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{M. Ahookhosh} and \textit{S. Ghaderi}, J. Appl. Math. Comput. 50, No. 1--2, 529--555 (2016; Zbl 1330.90102) Full Text: DOI arXiv
Zhao, Lijuan; Sun, Wenyu; De Sampaio, Raimundo J. B. Nonmonotone adaptive trust region method based on simple conic model for unconstrained optimization. (English) Zbl 1311.65077 Front. Math. China 9, No. 5, 1211-1238 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C51 90C06 PDFBibTeX XMLCite \textit{L. Zhao} et al., Front. Math. China 9, No. 5, 1211--1238 (2014; Zbl 1311.65077) Full Text: DOI
Wang, Fu-Sheng; Jian, Jin-Bao; Wang, Chuan-Long A model-hybrid approach for unconstrained optimization problems. (English) Zbl 1300.65043 Numer. Algorithms 66, No. 4, 741-759 (2014). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C30 90C51 90C53 PDFBibTeX XMLCite \textit{F.-S. Wang} et al., Numer. Algorithms 66, No. 4, 741--759 (2014; Zbl 1300.65043) Full Text: DOI
Zhao, Lijuan; Sun, Wenyu A conic affine scaling dogleg method for nonlinear optimization with bound constraints. (English) Zbl 1273.90209 Asia-Pac. J. Oper. Res. 30, No. 3, Article ID 1340011, 30 p. (2013). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{W. Sun}, Asia-Pac. J. Oper. Res. 30, No. 3, Article ID 1340011, 30 p. (2013; Zbl 1273.90209) 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
Cui, Zhaocheng; Wu, Boying; Qu, Shaojian Combining nonmonotone conic trust region and line search techniques for unconstrained optimization. (English) Zbl 1215.65107 J. Comput. Appl. Math. 235, No. 8, 2432-2441 (2011). Reviewer: Efstratios Rappos (Aubonne) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Z. Cui} et al., J. Comput. Appl. Math. 235, No. 8, 2432--2441 (2011; Zbl 1215.65107) Full Text: DOI
Zhang, Jian; Zhang, Kecun; Qu, Shaojian A nonmonotone adaptive trust region method for unconstrained optimization based on conic model. (English) Zbl 1210.65123 Appl. Math. Comput. 217, No. 8, 4265-4273 (2010). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Math. Comput. 217, No. 8, 4265--4273 (2010; Zbl 1210.65123) Full Text: DOI
Ariyawansa, K. A.; Tabor, Wayne L. A class of collinear scaling algorithms for bound-constrained optimization: Derivation and computational results. (English) Zbl 1169.65051 J. Comput. Appl. Math. 230, No. 1, 143-163 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{W. L. Tabor}, J. Comput. Appl. Math. 230, No. 1, 143--163 (2009; Zbl 1169.65051) Full Text: DOI
Zhou, Ying A smoothing conic trust region filter method for the nonlinear complementarity problem. (English) Zbl 1167.65037 J. Comput. Appl. Math. 229, No. 1, 248-263 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C33 90C51 PDFBibTeX XMLCite \textit{Y. Zhou}, J. Comput. Appl. Math. 229, No. 1, 248--263 (2009; Zbl 1167.65037) Full Text: DOI
Qu, Shao-Jian; Zhang, Qing-Pu; Yang, Yue-Ting A nonmonotone conic trust region method based on line search for solving unconstrained optimization. (English) Zbl 1160.90008 J. Comput. Appl. Math. 224, No. 2, 514-526 (2009). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C30 65K05 90C51 PDFBibTeX XMLCite \textit{S.-J. Qu} et al., J. Comput. Appl. Math. 224, No. 2, 514--526 (2009; Zbl 1160.90008) Full Text: DOI
Wang, Fusheng; Zhang, Kecun; Wang, Chuanlong; Wang, Li A variant of trust-region methods for unconstrained optimization. (English) Zbl 1159.65065 Appl. Math. Comput. 203, No. 1, 297-307 (2008). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 203, No. 1, 297--307 (2008; Zbl 1159.65065) Full Text: DOI
Lu, Xiaoping; Ni, Qin A quasi-Newton trust region method with a new conic model for the unconstrained optimization. (English) Zbl 1167.65035 Appl. Math. Comput. 204, No. 1, 373-384 (2008). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 90C30 90C53 90C51 PDFBibTeX XMLCite \textit{X. Lu} and \textit{Q. Ni}, Appl. Math. Comput. 204, No. 1, 373--384 (2008; Zbl 1167.65035) Full Text: DOI
Qu, Shao-Jian; Jiang, Su-Da A trust-region method with a conic model for unconstrained optimization. (English) Zbl 1146.49026 Math. Methods Appl. Sci. 31, No. 15, 1780-1808 (2008). MSC: 49M15 90C30 PDFBibTeX XMLCite \textit{S.-J. Qu} and \textit{S.-D. Jiang}, Math. Methods Appl. Sci. 31, No. 15, 1780--1808 (2008; Zbl 1146.49026) Full Text: DOI
Qu, Shao-Jian; Zhang, Ke-Cun; Zhang, Jian A nonmonotone trust-region method of conic model for unconstrained optimization. (English) Zbl 1151.65055 J. Comput. Appl. Math. 220, No. 1-2, 119-128 (2008). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{S.-J. Qu} et al., J. Comput. Appl. Math. 220, No. 1--2, 119--128 (2008; Zbl 1151.65055) Full Text: DOI
Ariyawansa, K. A.; Tabor, Wayne L. A class of collinear scaling algorithms for bound-constrained optimization: convergence theorems. (English) Zbl 1131.90057 J. Math. Anal. Appl. 334, No. 1, 716-737 (2007). MSC: 90C30 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{W. L. Tabor}, J. Math. Anal. Appl. 334, No. 1, 716--737 (2007; Zbl 1131.90057) Full Text: DOI
Ji, Ying; Qu, Shao-Jian; Wang, Yan-Jun; Li, Hui-Min A conic trust-region method for optimization with nonlinear equality and inequality constrains via active-set strategy. (English) Zbl 1112.65052 Appl. Math. Comput. 183, No. 1, 217-231 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y. Ji} et al., Appl. Math. Comput. 183, No. 1, 217--231 (2006; Zbl 1112.65052) Full Text: DOI
Wang, Fusheng; Zhang, Kecun; Tan, Xiaolong A fractional programming algorithm based on conic quasi-Newton trust region method for unconstrained minimization. (English) Zbl 1106.65054 Appl. Math. Comput. 181, No. 2, 1061-1067 (2006). MSC: 65K05 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 181, No. 2, 1061--1067 (2006; Zbl 1106.65054) Full Text: DOI
Wang, Chengjing A trust region method with a conic model for nonlinearly constrained optimization. (English) Zbl 1160.90665 Appl. Math., Ser. B (Engl. Ed.) 21, No. 3, 263-275 (2006). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{C. Wang}, Appl. Math., Ser. B (Engl. Ed.) 21, No. 3, 263--275 (2006; Zbl 1160.90665) Full Text: DOI
Han, Qiaoming; Sun, Wenyu; Han, Jiye; Sampaio, Raimudo J. B. An adaptive conic trust-region method for unconstrained optimization. (English) Zbl 1127.90415 Optim. Methods Softw. 20, No. 6, 665-677 (2005). MSC: 90C53 90C30 90C55 PDFBibTeX XMLCite \textit{Q. Han} et al., Optim. Methods Softw. 20, No. 6, 665--677 (2005; Zbl 1127.90415) Full Text: DOI
Fu, Jinhua; Sun, Wenyu; de Sampaio, Raimundo J. B. An adaptive approach of conic trust-region method for unconstrained optimization problems. (English) Zbl 1084.65060 J. Appl. Math. Comput. 19, No. 1-2, 165-177 (2005). Reviewer: Vincentiu Dumitru (Bucureşti) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{J. Fu} et al., J. Appl. Math. Comput. 19, No. 1--2, 165--177 (2005; Zbl 1084.65060) Full Text: DOI
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Ariyawansa, K. A.; Lau, D. T. M. A numerical evaluation of some collinear scaling algorithms for unconstrained minimization. (English) Zbl 0821.65038 Optimization 33, No. 3, 201-234 (1995). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{D. T. M. Lau}, Optimization 33, No. 3, 201--234 (1995; Zbl 0821.65038) Full Text: DOI
Sheng, S. Interpolation by conic model for unconstrained optimization. (English) Zbl 0815.65085 Computing 54, No. 1, 83-98 (1995). Reviewer: H.Hollatz (Magdeburg) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{S. Sheng}, Computing 54, No. 1, 83--98 (1995; Zbl 0815.65085) Full Text: DOI
Ariyawansa, K. A. On Davidon’s collinear scaling algorithms for optimization. (English) Zbl 0810.65061 Computing 52, No. 3, 299-307 (1994). Reviewer: J.Terno (Dresden) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{K. A. Ariyawansa}, Computing 52, No. 3, 299--307 (1994; Zbl 0810.65061) Full Text: DOI
Ariyawansa, K. A.; Lau, D. T. M. Local and \(q\)-superlinear convergence of a class of collinear scaling algorithms that extends quasi-Newton methods with Broyden’s bounded- \(\phi\) class of updates. (English) Zbl 0815.65086 Optimization 23, No. 4, 323-339 (1992). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{D. T. M. Lau}, Optimization 23, No. 4, 323--339 (1992; Zbl 0815.65086) Full Text: DOI
Ariyawansa, K. A. Deriving collinear scaling algorithms as extensions of quasi-Newton methods and the local convergence of DFP- and BFGS-related collinear scaling algorithms. (English) Zbl 0724.90059 Math. Program., Ser. A 49, No. 1, 23-48 (1990). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 90C30 90-08 65K05 49M15 PDFBibTeX XMLCite \textit{K. A. Ariyawansa}, Math. Program. 49, No. 1 (A), 23--48 (1990; Zbl 0724.90059) Full Text: DOI
Nazareth, J. L.; Ariyawansa, K. A. On accelerating Newton’s method based on a conic model. (English) Zbl 0669.65048 Inf. Process. Lett. 30, No. 6, 277-281 (1989). Reviewer: H.Hollatz MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{J. L. Nazareth} and \textit{K. A. Ariyawansa}, Inf. Process. Lett. 30, No. 6, 277--281 (1989; Zbl 0669.65048) Full Text: DOI
Lukšan, Ladislav Conjugate gradient algorithms for conic functions. (English) Zbl 0622.65045 Apl. Mat. 31, 427-440 (1986). Reviewer: N.A.Warsi MSC: 65K05 90C20 PDFBibTeX XMLCite \textit{L. Lukšan}, Apl. Mat. 31, 427--440 (1986; Zbl 0622.65045) Full Text: EuDML
Lukšan, Ladislav Conjugate direction algorithms for extended conic functions. (English) Zbl 0597.65059 Kybernetika 22, 31-46 (1986). Reviewer: M.Bastian MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{L. Lukšan}, Kybernetika 22, 31--46 (1986; Zbl 0597.65059) Full Text: EuDML
Lukšan, Ladislav Variable metric methods for a class of extended conic functions. (English) Zbl 0548.90062 Kybernetika 21, 96-107 (1985). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{L. Lukšan}, Kybernetika 21, 96--107 (1985; Zbl 0548.90062) Full Text: EuDML
Grandinetti, L. Some investigations in a new algorithm for nonlinear optimization based on conic models of the objective function. (English) Zbl 0521.49024 J. Optimization Theory Appl. 43, 1-21 (1984). MSC: 49M15 49M37 90C30 65K05 PDFBibTeX XMLCite \textit{L. Grandinetti}, J. Optim. Theory Appl. 43, 1--21 (1984; Zbl 0521.49024) Full Text: DOI