Zhou, Xin; Lu, Dechun; Zhang, Yaning; Du, Xiuli; Rabczuk, Timon An open-source unconstrained stress updating algorithm for the modified Cam-clay model. (English) Zbl 1507.74225 Comput. Methods Appl. Mech. Eng. 390, Article ID 114356, 38 p. (2022). MSC: 74L10 PDF BibTeX XML Cite \textit{X. Zhou} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114356, 38 p. (2022; Zbl 1507.74225) Full Text: DOI
Wang, Kexin; Yang, Cheng; Shao, Zhijiang; Huang, Xiaojin; Biegler, Lorenz T. A trust-region framework for real-time optimization with structural process-model mismatch. (English) Zbl 1466.90101 Vietnam J. Math. 48, No. 4, 809-830 (2020). MSC: 90C30 49M37 90C59 PDF BibTeX XML Cite \textit{K. Wang} et al., Vietnam J. Math. 48, No. 4, 809--830 (2020; Zbl 1466.90101) Full Text: DOI
Sheng, Zhou; Yuan, Gonglin; Cui, Zengru; Duan, Xiabin; Wang, Xiaoliang An adaptive trust region algorithm for large-residual nonsmooth least squares problems. (English) Zbl 1412.90125 J. Ind. Manag. Optim. 14, No. 2, 707-718 (2018). MSC: 90C26 PDF BibTeX XML Cite \textit{Z. Sheng} et al., J. Ind. Manag. Optim. 14, No. 2, 707--718 (2018; Zbl 1412.90125) Full Text: DOI
Zhou, QunYan; Sun, WenYu; Zhang, HongChao A new simple model trust-region method with generalized Barzilai-Borwein parameter for large-scale optimization. (English) Zbl 1369.65075 Sci. China, Math. 59, No. 11, 2265-2280 (2016). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C06 90C51 90C53 PDF BibTeX XML Cite \textit{Q. Zhou} et al., Sci. China, Math. 59, No. 11, 2265--2280 (2016; Zbl 1369.65075) Full Text: DOI
Minoux, Michel; Zorgati, Riadh Convexity of Gaussian chance constraints and of related probability maximization problems. (English) Zbl 1342.65051 Comput. Stat. 31, No. 1, 387-408 (2016). MSC: 62-08 PDF BibTeX XML Cite \textit{M. Minoux} and \textit{R. Zorgati}, Comput. Stat. 31, No. 1, 387--408 (2016; Zbl 1342.65051) Full Text: DOI
Zhang, Liwei; Xiao, Xiantao; Qi, Liyan On the global convergence of a parameter-adjusting Levenberg-Marquardt method. (English) Zbl 1309.90106 Numer. Algebra Control Optim. 5, No. 1, 25-36 (2015). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{L. Zhang} et al., Numer. Algebra Control Optim. 5, No. 1, 25--36 (2015; Zbl 1309.90106) Full Text: DOI
Yang, Xiao A higher-order Levenberg-Marquardt method for nonlinear equations. (English) Zbl 1298.65089 Appl. Math. Comput. 219, No. 22, 10682-10694 (2013). MSC: 65H10 PDF BibTeX XML Cite \textit{X. Yang}, Appl. Math. Comput. 219, No. 22, 10682--10694 (2013; Zbl 1298.65089) Full Text: DOI
Fan, Jinyan; Zeng, Jinlong A Levenberg-Marquardt algorithm with correction for singular system of nonlinear equations. (English) Zbl 1288.65072 Appl. Math. Comput. 219, No. 17, 9438-9446 (2013). MSC: 65H10 PDF BibTeX XML Cite \textit{J. Fan} and \textit{J. Zeng}, Appl. Math. Comput. 219, No. 17, 9438--9446 (2013; Zbl 1288.65072) Full Text: DOI
Fuentes, Marc; Malick, Jérôme; Lemaréchal, Claude Descentwise inexact proximal algorithms for smooth optimization. (English) Zbl 1264.90160 Comput. Optim. Appl. 53, No. 3, 755-769 (2012). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{M. Fuentes} et al., Comput. Optim. Appl. 53, No. 3, 755--769 (2012; Zbl 1264.90160) Full Text: DOI HAL
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. (English) Zbl 1229.90192 Math. Program. 127, No. 2 (A), 245-295 (2011). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 65K05 49M37 49M15 58C15 65F10 65H05 PDF BibTeX XML Cite \textit{C. Cartis} et al., Math. Program. 127, No. 2 (A), 245--295 (2011; Zbl 1229.90192) Full Text: DOI
Ahookhosh, Masoud; Amini, Keyvan A nonmonotone trust region method with adaptive radius for unconstrained optimization problems. (English) Zbl 1201.90184 Comput. Math. Appl. 60, No. 3, 411-422 (2010). MSC: 90C30 PDF BibTeX XML Cite \textit{M. Ahookhosh} and \textit{K. Amini}, Comput. Math. Appl. 60, No. 3, 411--422 (2010; Zbl 1201.90184) Full Text: DOI
Lemaréchal, Claude; Ouorou, Adam; Petrou, Georgios A bundle-type algorithm for routing in telecommunication data networks. (English) Zbl 1181.90059 Comput. Optim. Appl. 44, No. 3, 385-409 (2009). MSC: 90B18 90C25 PDF BibTeX XML Cite \textit{C. Lemaréchal} et al., Comput. Optim. Appl. 44, No. 3, 385--409 (2009; Zbl 1181.90059) Full Text: DOI Link
Wang, Yanfei; Ma, Shiqian A fast subspace method for image deblurring. (English) Zbl 1175.94030 Appl. Math. Comput. 215, No. 6, 2359-2377 (2009). MSC: 94A08 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Ma}, Appl. Math. Comput. 215, No. 6, 2359--2377 (2009; Zbl 1175.94030) Full Text: DOI
Abdel-Aziz, Mohammedi R.; El-Alem, Mahmoud M. Newton-Krylov type algorithm for solving nonlinear least squares problems. (English) Zbl 1177.65084 Int. J. Math. Math. Sci. 2009, Article ID 435851, 17 p. (2009). MSC: 65K05 90C20 90C53 PDF BibTeX XML Cite \textit{M. R. Abdel-Aziz} and \textit{M. M. El-Alem}, Int. J. Math. Math. Sci. 2009, Article ID 435851, 17 p. (2009; Zbl 1177.65084) Full Text: DOI EuDML
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 PDF BibTeX XML Cite \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
Fan, Jinyan; Pan, Jianyu A note on the Levenberg-Marquardt parameter. (English) Zbl 1172.65024 Appl. Math. Comput. 207, No. 2, 351-359 (2009). Reviewer: Otu Vaarmann (Tallinn) MSC: 65H10 65Y20 PDF BibTeX XML Cite \textit{J. Fan} and \textit{J. Pan}, Appl. Math. Comput. 207, No. 2, 351--359 (2009; Zbl 1172.65024) Full Text: DOI
Wang, Chang-Yu; Zhang, Jian-Zhong; Zhao, Wen-Ling Two error bounds for constrained optimization problems and their applications. (English) Zbl 1173.65045 Appl. Math. Optim. 57, No. 3, 307-328 (2008). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C34 90C30 90C51 PDF BibTeX XML Cite \textit{C.-Y. Wang} et al., Appl. Math. Optim. 57, No. 3, 307--328 (2008; Zbl 1173.65045) 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 PDF BibTeX XML Cite \textit{F. Wang} et al., Appl. Math. Comput. 203, No. 1, 297--307 (2008; Zbl 1159.65065) Full Text: DOI
Wang, Yunjuan; Zhu, Detong An affine scaling interior trust region method via optimal path for solving monotone variational inequality problem with linear constraints. (English) Zbl 1151.49025 Chin. Ann. Math., Ser. B 29, No. 3, 273-290 (2008). MSC: 49M15 90C33 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{D. Zhu}, Chin. Ann. Math., Ser. B 29, No. 3, 273--290 (2008; Zbl 1151.49025) Full Text: DOI
Shi, Zhen-Jun; Guo, Jin-Hua A new trust region method for unconstrained optimization. (English) Zbl 1144.65044 J. Comput. Appl. Math. 213, No. 2, 509-520 (2008). Reviewer: Vasilis Dimitriou (Chania) MSC: 65K05 90C30 90C51 PDF BibTeX XML Cite \textit{Z.-J. Shi} and \textit{J.-H. Guo}, J. Comput. Appl. Math. 213, No. 2, 509--520 (2008; Zbl 1144.65044) Full Text: DOI
Exler, Oliver; Schittkowski, Klaus A trust region SQP algorithm for mixed-integer nonlinear programming. (English) Zbl 1152.90551 Optim. Lett. 1, No. 3, 269-280 (2007). MSC: 90C20 90C11 90C30 PDF BibTeX XML Cite \textit{O. Exler} and \textit{K. Schittkowski}, Optim. Lett. 1, No. 3, 269--280 (2007; Zbl 1152.90551) 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 PDF BibTeX XML Cite \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
Croceri, Graciela M.; Sottosanto, Graciela N.; Maciel, María Cristina Augmented penalty algorithms based on BFGS secant approximations and trust regions. (English) Zbl 1113.65061 Appl. Numer. Math. 57, No. 3, 320-334 (2007). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C30 90C51 PDF BibTeX XML Cite \textit{G. M. Croceri} et al., Appl. Numer. Math. 57, No. 3, 320--334 (2007; Zbl 1113.65061) Full Text: DOI
Lu, Zhaosong; Monteiro, Renato D. C. A modified nearly exact method for solving low-rank trust region subproblem. (English) Zbl 1138.90012 Math. Program. 109, No. 2-3 (B), 385-411 (2007). MSC: 90C06 90C30 65K05 PDF BibTeX XML Cite \textit{Z. Lu} and \textit{R. D. C. Monteiro}, Math. Program. 109, No. 2--3 (B), 385--411 (2007; Zbl 1138.90012) Full Text: DOI
Fan, Jinyan; Pan, Jianyu Convergence properties of a self-adaptive Levenberg-Marquardt algorithm under local error bound condition. (English) Zbl 1111.90103 Comput. Optim. Appl. 34, No. 1, 47-62 (2006). MSC: 90C30 PDF BibTeX XML Cite \textit{J. Fan} and \textit{J. Pan}, Comput. Optim. Appl. 34, No. 1, 47--62 (2006; Zbl 1111.90103) Full Text: DOI
Zhang, Ju-Liang A robust trust region method for nonlinear optimization with inequality constraint. (English) Zbl 1098.65070 Appl. Math. Comput. 176, No. 2, 688-699 (2006). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 90C20 90C30 90C51 PDF BibTeX XML Cite \textit{J.-L. Zhang}, Appl. Math. Comput. 176, No. 2, 688--699 (2006; Zbl 1098.65070) Full Text: DOI
Yang, Yu-Fei; Qi, Liqun Smoothing trust region methods for nonlinear complementarity problems with \(P_0\)-functions. (English) Zbl 1119.90062 Ann. Oper. Res. 133, 99-117 (2005). MSC: 90C33 90C55 PDF BibTeX XML Cite \textit{Y.-F. Yang} and \textit{L. Qi}, Ann. Oper. Res. 133, 99--117 (2005; Zbl 1119.90062) Full Text: DOI
Zhang, Ju-Liang; Zhang, Xiang-Sun A nonmonotone adaptive trust region method and its convergence. (English) Zbl 1065.90071 Comput. Math. Appl. 45, No. 10-11, 1469-1477 (2003). MSC: 90C30 65K05 90C55 PDF BibTeX XML Cite \textit{J.-L. Zhang} and \textit{X.-S. Zhang}, Comput. Math. Appl. 45, No. 10--11, 1469--1477 (2003; Zbl 1065.90071) Full Text: DOI
Ardenghi, Juan Ignacio; Maciel, María Cristina; Verdiell, Adriana Beatriz A trust-region-approach for solving a parameter estimation problem from the biotechnology area. (English) Zbl 1030.92022 Appl. Numer. Math. 47, No. 3-4, 281-294 (2003). MSC: 92D25 92-04 65K10 92C40 PDF BibTeX XML Cite \textit{J. I. Ardenghi} et al., Appl. Numer. Math. 47, No. 3--4, 281--294 (2003; Zbl 1030.92022) Full Text: DOI
Sadjadi, Seyed Jafar; Ponnambalam, K. Advances in trust region algorithms for constrained optimization. (English) Zbl 0956.90048 Appl. Numer. Math. 29, No. 3, 423-443 (1999). MSC: 90C30 49M37 49M30 PDF BibTeX XML Cite \textit{S. J. Sadjadi} and \textit{K. Ponnambalam}, Appl. Numer. Math. 29, No. 3, 423--443 (1999; Zbl 0956.90048) Full Text: DOI
Pham Dinh Tao; Thai Quynh Phong; Horaud, Radu; Quan, Long Stability of Lagrangian duality for nonconvex quadratic programming. Solution methods and applications in computer vision. (English) Zbl 0878.65045 RAIRO, Modélisation Math. Anal. Numér. 31, No. 1, 57-90 (1997). Reviewer: F.Luban (Bucureşti) MSC: 65K05 68U05 90C20 90C31 PDF BibTeX XML Cite \textit{Pham Dinh Tao} et al., RAIRO, Modélisation Math. Anal. Numér. 31, No. 1, 57--90 (1997; Zbl 0878.65045) Full Text: DOI EuDML
Elster, C.; Neumaier, A. A method of trust region type for minimizing noisy functions. (English) Zbl 0879.90166 Computing 58, No. 1, 31-46 (1997). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{C. Elster} and \textit{A. Neumaier}, Computing 58, No. 1, 31--46 (1997; Zbl 0879.90166) Full Text: DOI
Liao, Aiping Some efficient algorithms for unconstrained discrete-time optimal control problems. (English) Zbl 0908.65053 Appl. Math. Comput. 87, No. 2-3, 175-198 (1997). Reviewer: L.F.Pau (Alvsjo) MSC: 65K10 49L20 49M15 PDF BibTeX XML Cite \textit{A. Liao}, Appl. Math. Comput. 87, No. 2--3, 175--198 (1997; Zbl 0908.65053) Full Text: DOI
Lemaréchal, Claude; Sagastizábal, Claudia Variable metric bundle methods: From conceptual to implementable forms. (English) Zbl 0872.90072 Math. Program. 76, No. 3 (B), 393-410 (1997). MSC: 90C25 65K05 90C30 PDF BibTeX XML Cite \textit{C. Lemaréchal} and \textit{C. Sagastizábal}, Math. Program. 76, No. 3 (B), 393--410 (1997; Zbl 0872.90072) Full Text: DOI
Helfrich, H.-P.; Zwick, D. A trust region algorithm for parametric curve and surface fitting. (English) Zbl 0861.65010 J. Comput. Appl. Math. 73, No. 1-2, 119-134 (1996). Reviewer: W.Govaerts (Gent) MSC: 65D10 PDF BibTeX XML Cite \textit{H. P. Helfrich} and \textit{D. Zwick}, J. Comput. Appl. Math. 73, No. 1--2, 119--134 (1996; Zbl 0861.65010) Full Text: DOI
Flippo, Olaf E.; Jansen, Benjamin Duallity and sensitivity in nonconvex quadratic optimization over an ellipsoid. (English) Zbl 0930.90076 Eur. J. Oper. Res. 94, No. 1, 167-178 (1996). MSC: 90C26 90C46 90C20 90C31 PDF BibTeX XML Cite \textit{O. E. Flippo} and \textit{B. Jansen}, Eur. J. Oper. Res. 94, No. 1, 167--178 (1996; Zbl 0930.90076) Full Text: DOI
Pham Dinh Tao; Le Thi Hoai An Difference of convex functions optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres. (English) Zbl 0876.90071 Oper. Res. Lett. 19, No. 5, 207-216 (1996). MSC: 90C20 90C26 PDF BibTeX XML Cite \textit{Pham Dinh Tao} and \textit{Le Thi Hoai An}, Oper. Res. Lett. 19, No. 5, 207--216 (1996; Zbl 0876.90071) Full Text: DOI
Andreucci, Daniele; Bianchini, Monica; Pasquali, Aldo Identification of parameters in polymer crystallization. (English) Zbl 0839.65150 Appl. Numer. Math. 17, No. 3, 191-211 (1995). Reviewer: G.Stoyan (Budapest) MSC: 65R20 82D60 82D25 45K05 PDF BibTeX XML Cite \textit{D. Andreucci} et al., Appl. Numer. Math. 17, No. 3, 191--211 (1995; Zbl 0839.65150) Full Text: DOI
Dennis, John E. jun.; Li, Shou-Bai B.; Tapia, Richard A. A unified approach to global convergence of trust region methods for nonsmooth optimization. (English) Zbl 0835.90086 Math. Program. 68, No. 3 (A), 319-346 (1995). MSC: 90C30 49J52 PDF BibTeX XML Cite \textit{J. E. Dennis jun.} et al., Math. Program. 68, No. 3 (A), 319--346 (1995; Zbl 0835.90086) Full Text: DOI
Martínez, José Mario; Santos, Sandra Augusta A trust-region strategy for minimization on arbitrary domains. (English) Zbl 0835.90092 Math. Program. 68, No. 3 (A), 267-301 (1995). MSC: 90C30 90-08 PDF BibTeX XML Cite \textit{J. M. Martínez} and \textit{S. A. Santos}, Math. Program. 68, No. 3 (A), 267--301 (1995; Zbl 0835.90092) Full Text: DOI
Qi, Liqun; Sun, Jie A trust region algorithm for minimization of locally Lipschitzian functions. (English) Zbl 0821.90108 Math. Program. 66, No. 1 (A), 25-43 (1994). Reviewer: Du Ding-Zhu (Minneapolis) MSC: 90C30 49J52 PDF BibTeX XML Cite \textit{L. Qi} and \textit{J. Sun}, Math. Program. 66, No. 1 (A), 25--43 (1994; Zbl 0821.90108) Full Text: DOI
Xiao, Y.; Zhou, F. Nonmonotone trust region methods with curvilinear path in unconstrained optimization. (English. German summary) Zbl 0763.65048 Computing 48, No. 3-4, 303-317 (1992). Reviewer: R.Lepp (Tallinn) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{Y. Xiao} and \textit{F. Zhou}, Computing 48, No. 3--4, 303--317 (1992; Zbl 0763.65048) Full Text: DOI
Zhang, Yin Computing a Celis-Dennis-Tapia trust-region step for equality constrained optimization. (English) Zbl 0773.90056 Math. Program. 55, No. 1 (A), 109-124 (1992). MSC: 90C25 90-08 PDF BibTeX XML Cite \textit{Y. Zhang}, Math. Program. 55, No. 1 (A), 109--124 (1992; Zbl 0773.90056) Full Text: DOI
Dean, E. J. A model trust-region modification of Newton’s method for nonlinear two- point boundary-value problems. (English) Zbl 0795.49022 J. Optimization Theory Appl. 75, No. 2, 297-312 (1992). MSC: 49M15 49M37 PDF BibTeX XML Cite \textit{E. J. Dean}, J. Optim. Theory Appl. 75, No. 2, 297--312 (1992; Zbl 0795.49022) Full Text: DOI
Sunar, M.; Belegundu, A. D. Trust region methods for structural optimization using exact second order sensitivity. (English) Zbl 0825.73474 Int. J. Numer. Methods Eng. 32, No. 2, 275-293 (1991). MSC: 74P99 PDF BibTeX XML Cite \textit{M. Sunar} and \textit{A. D. Belegundu}, Int. J. Numer. Methods Eng. 32, No. 2, 275--293 (1991; Zbl 0825.73474) Full Text: DOI
Sagara, Nobuko; Fukushima, Masao A hybrid method for the nonlinear least squares problem with simple bounds. (English) Zbl 0742.65050 J. Comput. Appl. Math. 36, No. 2, 149-157 (1991). Reviewer: S.Zabek (Lublin) MSC: 65K05 90C30 90C06 90C20 90C25 PDF BibTeX XML Cite \textit{N. Sagara} and \textit{M. Fukushima}, J. Comput. Appl. Math. 36, No. 2, 149--157 (1991; Zbl 0742.65050) Full Text: DOI
Conn, A. R.; Gould, N. I. M.; Toint, Ph. L. Convergence of quasi-Newton matrices generated by the symmetric rank one update. (English) Zbl 0737.90062 Math. Program., Ser. A 50, No. 2, 177-195 (1991). Reviewer: Zhang Xian-sun (Beijing) MSC: 90C30 90-08 65K05 PDF BibTeX XML Cite \textit{A. R. Conn} et al., Math. Program. 50, No. 2 (A), 177--195 (1991; Zbl 0737.90062) Full Text: DOI
Burke, James V.; Moré, Jorge J.; Toraldo, Gerardo Convergence properties of trust region methods for linear and convex constraints. (English) Zbl 0711.90060 Math. Program., Ser. A 47, No. 3, 305-336 (1990). Reviewer: A.Zilinskas MSC: 90C20 65K05 90C52 90-08 PDF BibTeX XML Cite \textit{J. V. Burke} et al., Math. Program. 47, No. 3 (A), 305--336 (1990; Zbl 0711.90060) Full Text: DOI
Pham Dinh Tao; Wang, S.; Yassine, A. Training multi-layered neural network with a trust-region based algorithm. (English) Zbl 0707.90097 RAIRO, Modélisation Math. Anal. Numér. 24, No. 4, 523-553 (1990). MSC: 90C90 92B20 90-08 90C26 PDF BibTeX XML Cite \textit{Pham Dinh Tao} et al., RAIRO, Modélisation Math. Anal. Numér. 24, No. 4, 523--553 (1990; Zbl 0707.90097) Full Text: DOI EuDML
Martínez, J. M. An algorithm for solving sparse nonlinear least squares problems. (English) Zbl 0618.65050 Computing 39, 307-325 (1987). MSC: 65K05 65H10 90C30 PDF BibTeX XML Cite \textit{J. M. Martínez}, Computing 39, 307--325 (1987; Zbl 0618.65050) Full Text: DOI
Yuan, Yaxiang Conditions for convergence of trust region algorithms for nonsmooth optimization. (English) Zbl 0576.90080 Math. Program. 31, 220-228 (1985). Reviewer: Yaxiang Yuan MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{Y. Yuan}, Math. Program. 31, 220--228 (1985; Zbl 0576.90080) Full Text: DOI