Dehghan Niri, T.; Heydari, M.; Hosseini, M. M. Two modified adaptive cubic regularization algorithms by using the nonmonotone Armijo-type line search. (English) Zbl 07761615 Optimization 72, No. 11, 2769-2792 (2023). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{T. Dehghan Niri} et al., Optimization 72, No. 11, 2769--2792 (2023; Zbl 07761615) Full Text: DOI
Li, Shiru; Xia, Yong; Xu, Zi Simultaneous perturbation stochastic approximation: towards one-measurement per iteration. (English) Zbl 07751243 Numer. Algorithms 94, No. 3, 1085-1101 (2023). MSC: 65K10 49N30 62L20 90C30 PDFBibTeX XMLCite \textit{S. Li} et al., Numer. Algorithms 94, No. 3, 1085--1101 (2023; Zbl 07751243) Full Text: DOI arXiv
Gonçalves, M. L. N.; Lima, F. S.; Prudente, L. F. Globally convergent Newton-type methods for multiobjective optimization. (English) Zbl 1502.90165 Comput. Optim. Appl. 83, No. 2, 403-434 (2022). MSC: 90C29 90C26 49M15 65K05 PDFBibTeX XMLCite \textit{M. L. N. Gonçalves} et al., Comput. Optim. Appl. 83, No. 2, 403--434 (2022; Zbl 1502.90165) Full Text: DOI
Jiang, Xianzhen; Liao, Wei; Yin, Jianghua; Jian, Jinbao A new family of hybrid three-term conjugate gradient methods with applications in image restoration. (English) Zbl 1496.65076 Numer. Algorithms 91, No. 1, 161-191 (2022). MSC: 65K05 49M37 65D18 90C53 94A08 PDFBibTeX XMLCite \textit{X. Jiang} et al., Numer. Algorithms 91, No. 1, 161--191 (2022; Zbl 1496.65076) Full Text: DOI
Burachik, Regina S.; Caldwell, Bethany I.; Kaya, C. Yalçın A generalized multivariable Newton method. (English) Zbl 07525619 Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 15, 31 p. (2021). MSC: 49M15 65H04 65H10 PDFBibTeX XMLCite \textit{R. S. Burachik} et al., Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 15, 31 p. (2021; Zbl 07525619) Full Text: DOI arXiv
Lee, M. S.; Harno, H. G.; Goh, B. S.; Lim, K. H. On the bang-bang control approach via a component-wise line search strategy for unconstrained optimization. (English) Zbl 1479.49061 Numer. Algebra Control Optim. 11, No. 1, 45-61 (2021). MSC: 49K30 49M15 65K10 90C30 90C90 PDFBibTeX XMLCite \textit{M. S. Lee} et al., Numer. Algebra Control Optim. 11, No. 1, 45--61 (2021; Zbl 1479.49061) Full Text: DOI
di Serafino, Daniela; Toraldo, Gerardo; Viola, Marco Using gradient directions to get global convergence of Newton-type methods. (English) Zbl 1510.65116 Appl. Math. Comput. 409, Article ID 125612, 14 p. (2021). MSC: 65K05 49M15 90C26 90C53 PDFBibTeX XMLCite \textit{D. di Serafino} et al., Appl. Math. Comput. 409, Article ID 125612, 14 p. (2021; Zbl 1510.65116) Full Text: DOI arXiv
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust nonlinear optimization. (English) Zbl 1448.90068 SIAM J. Optim. 30, No. 3, 1996-2025 (2020). MSC: 90C17 90C26 90C46 90C59 49M37 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 30, No. 3, 1996--2025 (2020; Zbl 1448.90068) Full Text: DOI
Bergou, El Houcine; Diouane, Youssef; Kungurtsev, Vyacheslav Convergence and complexity analysis of a Levenberg-Marquardt algorithm for inverse problems. (English) Zbl 1441.49028 J. Optim. Theory Appl. 185, No. 3, 927-944 (2020). MSC: 49M05 49M15 90C06 90C60 PDFBibTeX XMLCite \textit{E. H. Bergou} et al., J. Optim. Theory Appl. 185, No. 3, 927--944 (2020; Zbl 1441.49028) Full Text: DOI arXiv
Boutet, Nicolas; Haelterman, Rob; Degroote, Joris Secant update version of quasi-Newton PSB with weighted multisecant equations. (English) Zbl 1433.90191 Comput. Optim. Appl. 75, No. 2, 441-466 (2020). MSC: 90C53 49M15 65H10 90C26 PDFBibTeX XMLCite \textit{N. Boutet} et al., Comput. Optim. Appl. 75, No. 2, 441--466 (2020; Zbl 1433.90191) Full Text: DOI Link
Ahookhosh, Masoud; Aragón Artacho, Francisco J.; Fleming, Ronan M. T.; Vuong, Phan T. Local convergence of the Levenberg-Marquardt method under Hölder metric subregularity. (English) Zbl 1494.65036 Adv. Comput. Math. 45, No. 5-6, 2771-2806 (2019). MSC: 65K05 65K10 49J53 90C26 92C42 PDFBibTeX XMLCite \textit{M. Ahookhosh} et al., Adv. Comput. Math. 45, No. 5--6, 2771--2806 (2019; Zbl 1494.65036) Full Text: DOI arXiv
Yin, Jianyuan; Zhang, Lei; Zhang, Pingwen High-index optimization-based shrinking dimer method for finding high-index saddle points. (English) Zbl 1429.49030 SIAM J. Sci. Comput. 41, No. 6, A3576-A3595 (2019). MSC: 49K35 37M05 37N30 65P99 PDFBibTeX XMLCite \textit{J. Yin} et al., SIAM J. Sci. Comput. 41, No. 6, A3576--A3595 (2019; Zbl 1429.49030) Full Text: DOI
Mohammad, Hassan; Waziri, Mohammed Yusuf Structured two-point stepsize gradient methods for nonlinear least squares. (English) Zbl 1416.49036 J. Optim. Theory Appl. 181, No. 1, 298-317 (2019). MSC: 49M37 65K05 90C56 PDFBibTeX XMLCite \textit{H. Mohammad} and \textit{M. Y. Waziri}, J. Optim. Theory Appl. 181, No. 1, 298--317 (2019; Zbl 1416.49036) Full Text: DOI arXiv
Mohammad, Hassan; Santos, Sandra A. A structured diagonal Hessian approximation method with evaluation complexity analysis for nonlinear least squares. (English) Zbl 1413.90268 Comput. Appl. Math. 37, No. 5, 6619-6653 (2018). MSC: 90C30 65K05 49M37 90C06 PDFBibTeX XMLCite \textit{H. Mohammad} and \textit{S. A. Santos}, Comput. Appl. Math. 37, No. 5, 6619--6653 (2018; Zbl 1413.90268) Full Text: DOI
Verdério, Adriano; Karas, Elizabeth W.; Pedroso, Lucas G.; Scheinberg, Katya On the construction of quadratic models for derivative-free trust-region algorithms. (English) Zbl 1386.90181 EURO J. Comput. Optim. 5, No. 4, 501-527 (2017). MSC: 90C56 65K05 49M37 PDFBibTeX XMLCite \textit{A. Verdério} et al., EURO J. Comput. Optim. 5, No. 4, 501--527 (2017; Zbl 1386.90181) Full Text: DOI
Zhu, Honglan; Ni, Qin; Zeng, Meilan A quasi-Newton trust region method based on a new fractional model. (English) Zbl 1321.49045 Numer. Algebra Control Optim. 5, No. 3, 237-249 (2015). MSC: 49M15 49M37 49K10 90C30 PDFBibTeX XMLCite \textit{H. Zhu} et al., Numer. Algebra Control Optim. 5, No. 3, 237--249 (2015; Zbl 1321.49045) Full Text: DOI
Taheri, Sona; Mammadov, Musa; Seifollahi, Sattar Globally convergent algorithms for solving unconstrained optimization problems. (English) Zbl 1311.90182 Optimization 64, No. 2, 249-263 (2015). MSC: 90C53 49M15 65K05 90C30 PDFBibTeX XMLCite \textit{S. Taheri} et al., Optimization 64, No. 2, 249--263 (2015; Zbl 1311.90182) Full Text: DOI Link
Ou, Yi-Gui A nonmonotone ODE-based method for unconstrained optimization. (English) Zbl 1302.90216 Int. J. Comput. Math. 91, No. 8, 1840-1860 (2014). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{Y.-G. Ou}, Int. J. Comput. Math. 91, No. 8, 1840--1860 (2014; Zbl 1302.90216) Full Text: DOI
Hu, Yi-Qing; Hao, Chun-Lin; Dai, Yu-Hong Projected gradient algorithms for optimization over order simplices. (English) Zbl 1301.49087 Optim. Methods Softw. 29, No. 5, 1090-1117 (2014). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{Y.-Q. Hu} et al., Optim. Methods Softw. 29, No. 5, 1090--1117 (2014; Zbl 1301.49087) Full Text: DOI
Kchouk, Bilel; Dussault, Jean-Pierre On per-iteration complexity of high order Chebyshev methods for sparse functions with banded Hessians. (English) Zbl 1298.49050 Numer. Algorithms 66, No. 4, 885-909 (2014). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49M37 90C30 90C60 68Q25 PDFBibTeX XMLCite \textit{B. Kchouk} and \textit{J.-P. Dussault}, Numer. Algorithms 66, No. 4, 885--909 (2014; Zbl 1298.49050) Full Text: DOI
Ou, Yi-Gui; Ma, Wei A modified ODE-based algorithm for unconstrained optimization problems. (English) Zbl 1291.65176 Numer. Algorithms 65, No. 2, 233-250 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 49M37 PDFBibTeX XMLCite \textit{Y.-G. Ou} and \textit{W. Ma}, Numer. Algorithms 65, No. 2, 233--250 (2014; Zbl 1291.65176) Full Text: DOI
Gornov, Alexander Yu.; Zarodnyuk, Tatiana S.; Madzhara, Taras I.; Daneeva, Anna V.; Veyalko, Irina A. A collection of test multiextremal optimal control problems. (English) Zbl 1312.49040 Chinchuluun, Altannar (ed.) et al., Optimization, simulation, and control. New York, NY: Springer (ISBN 978-1-4614-5130-3/hbk; 978-1-4614-5131-0/ebook). Springer Optimization and Its Applications 76, 257-274 (2013). MSC: 49M99 93B03 PDFBibTeX XMLCite \textit{A. Yu. Gornov} et al., Springer Optim. Appl. 76, 257--274 (2013; Zbl 1312.49040) Full Text: DOI
Ou, Yigui; Liu, Yuanyuan An ODE-based nonmonotone method for unconstrained optimization problems. (English) Zbl 1295.90085 J. Appl. Math. Comput. 42, No. 1-2, 351-369 (2013). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{Y. Ou} and \textit{Y. Liu}, J. Appl. Math. Comput. 42, No. 1--2, 351--369 (2013; Zbl 1295.90085) Full Text: DOI
Fan, Jinyan A Shamanskii-like Levenberg-Marquardt method for nonlinear equations. (English) Zbl 1282.90176 Comput. Optim. Appl. 56, No. 1, 63-80 (2013). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C30 65H10 49M15 90C53 PDFBibTeX XMLCite \textit{J. Fan}, Comput. Optim. Appl. 56, No. 1, 63--80 (2013; Zbl 1282.90176) Full Text: DOI
Steihaug, Trond; Suleiman, Sara Global convergence and the Powell singular function. (English) Zbl 1269.49048 J. Glob. Optim. 56, No. 3, 845-853 (2013). MSC: 49M15 65H10 58C15 90C06 90C30 PDFBibTeX XMLCite \textit{T. Steihaug} and \textit{S. Suleiman}, J. Glob. Optim. 56, No. 3, 845--853 (2013; Zbl 1269.49048) Full Text: DOI
Jinkui, Liu; Xianglin, Du; Kairong, Wang A mixed spectral CD-DY conjugate gradient method. (English) Zbl 1245.49045 J. Appl. Math. 2012, Article ID 569795, 10 p. (2012). MSC: 49M37 90C52 PDFBibTeX XMLCite \textit{L. Jinkui} et al., J. Appl. Math. 2012, Article ID 569795, 10 p. (2012; Zbl 1245.49045) Full Text: DOI
Ou, Yigui An ODE-based trust region filter algorithm for unconstrained optimization. (English) Zbl 1222.49048 Numer. Funct. Anal. Optim. 32, No. 5, 524-540 (2011). MSC: 49M37 90C30 65K05 93A15 PDFBibTeX XMLCite \textit{Y. Ou}, Numer. Funct. Anal. Optim. 32, No. 5, 524--540 (2011; Zbl 1222.49048) Full Text: DOI
Tseng, Paul; Bomze, Immanuel M.; Schachinger, Werner A first-order interior-point method for linearly constrained smooth optimization. (English) Zbl 1216.49028 Math. Program. 127, No. 2 (A), 399-424 (2011). MSC: 49M37 65K05 90C20 90C25 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{P. Tseng} et al., Math. Program. 127, No. 2 (A), 399--424 (2011; Zbl 1216.49028) Full Text: DOI
Shi, Zhen-Jun; Guo, Jinhua Global convergence of conjugate gradient method. (English) Zbl 1158.90406 Optimization 58, No. 2, 163-179 (2009). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{J. Guo}, Optimization 58, No. 2, 163--179 (2009; Zbl 1158.90406) Full Text: DOI
Tseng, Paul; Yun, Sangwoon A coordinate gradient descent method for nonsmooth separable minimization. (English) Zbl 1166.90016 Math. Program. 117, No. 1-2 (B), 387-423 (2009). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 90C55 65K05 49M27 49M37 90C06 90C25 90C26 PDFBibTeX XMLCite \textit{P. Tseng} and \textit{S. Yun}, Math. Program. 117, No. 1--2 (B), 387--423 (2009; Zbl 1166.90016) 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
Shi, Zhen-Jun; Shen, Jie Convergence of the Polak-Ribiére-Polyak conjugate gradient method. (English) Zbl 1120.49027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 6, 1428-1441 (2007). Reviewer: Werner H. Schmidt (Greifswald) MSC: 49M37 65K05 90C30 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{J. Shen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 6, 1428--1441 (2007; Zbl 1120.49027) Full Text: DOI
Shi, Zhen-Jun; Shen, Jie Convergence of nonmonotone line search method. (English) Zbl 1136.90477 J. Comput. Appl. Math. 193, No. 2, 397-412 (2006). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{J. Shen}, J. Comput. Appl. Math. 193, No. 2, 397--412 (2006; Zbl 1136.90477) Full Text: DOI
Shi, Zhen-Jun; Shen, Jie Convergence of descent method with new line search. (English) Zbl 1137.90674 J. Appl. Math. Comput. 20, No. 1-2, 239-254 (2006). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{J. Shen}, J. Appl. Math. Comput. 20, No. 1--2, 239--254 (2006; Zbl 1137.90674) Full Text: DOI
Diniz-Ehrhardt, Maria A.; Gomes-Ruggiero, Márcia A.; Lopes, Vera L. Rocha; Martínez, José Mario Discrete Newton’s method with local variations for solving large-scale nonlinear systems. (English) Zbl 1098.90069 Optimization 52, No. 4-5, 417-440 (2003). MSC: 90C30 49M25 65H10 PDFBibTeX XMLCite \textit{M. A. Diniz-Ehrhardt} et al., Optimization 52, No. 4--5, 417--440 (2003; Zbl 1098.90069) Full Text: DOI
Dai, Yu-Hong A family of hybrid conjugate gradient methods for unconstrained optimization. (English) Zbl 1014.49024 Math. Comput. 72, No. 243, 1317-1328 (2003). MSC: 49M37 90C30 65K05 PDFBibTeX XMLCite \textit{Y.-H. Dai}, Math. Comput. 72, No. 243, 1317--1328 (2003; Zbl 1014.49024) Full Text: DOI
Xie, Dexuan; Schlick, Tamar A more lenient stopping rule for line search algorithms. (English) Zbl 1040.90039 Optim. Methods Softw. 17, No. 4, 683-700 (2002). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 90C59 49M37 92E10 PDFBibTeX XMLCite \textit{D. Xie} and \textit{T. Schlick}, Optim. Methods Softw. 17, No. 4, 683--700 (2002; Zbl 1040.90039) Full Text: DOI
Al-Baali, M.; Conforti, D.; Musmanno, R. Computational experiments with scaled initial Hessian approximation for the Broyden family methods. (English) Zbl 0980.90102 Optimization 48, No. 3, 375-389 (2000). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C53 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{M. Al-Baali} et al., Optimization 48, No. 3, 375--389 (2000; Zbl 0980.90102) Full Text: DOI
Grapsa, T. N.; Vrahatis, M. N. A dimension-reducing method for unconstrained optimization. (English) Zbl 0856.65074 J. Comput. Appl. Math. 66, No. 1-2, 239-253 (1996). Reviewer: H.Benker (Merseburg) MSC: 65K05 49M37 90C30 PDFBibTeX XMLCite \textit{T. N. Grapsa} and \textit{M. N. Vrahatis}, J. Comput. Appl. Math. 66, No. 1--2, 239--253 (1996; Zbl 0856.65074) Full Text: DOI
Lukšan, Ladislav Computational experience with improved conjugate gradient methods for unconstrained minimization. (English) Zbl 0771.90090 Kybernetika 28, No. 4, 249-262 (1992). MSC: 90C30 65K05 49M37 90-08 PDFBibTeX XMLCite \textit{L. Lukšan}, Kybernetika 28, No. 4, 249--262 (1992; Zbl 0771.90090) Full Text: EuDML Link
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Grippo, L.; Lampariello, F.; Lucidi, S. A truncated Newton method with non-monotone line search for unconstrained optimization. (English) Zbl 0632.90059 J. Optimization Theory Appl. 60, No. 3, 401-419 (1989). Reviewer: L.Grippo MSC: 90C30 49M15 65K05 49M37 PDFBibTeX XMLCite \textit{L. Grippo} et al., J. Optim. Theory Appl. 60, No. 3, 401--419 (1989; Zbl 0632.90059) Full Text: DOI
Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. Parallel quasi-Newton methods for unconstrained optimization. (English) Zbl 0665.90085 Math. Program., Ser. B 42, No. 2, 273-306 (1988). MSC: 90C30 49M15 65K05 49M37 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 42, No. 2 (B), 273--306 (1988; Zbl 0665.90085) Full Text: DOI
Nazareth, J. L. The method of successive affine reduction for nonlinear minimization. (English) Zbl 0621.90076 Math. Program. 35, 97-109 (1986). Reviewer: J.Niewiarowski MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{J. L. Nazareth}, Math. Program. 35, 97--109 (1986; Zbl 0621.90076) Full Text: DOI
Golden, Bruce L.; Wasil, Edward A. Nonlinear programming on a microcomputer. (English) Zbl 0614.90091 Comput. Oper. Res. 13, 149-166 (1986). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{B. L. Golden} and \textit{E. A. Wasil}, Comput. Oper. Res. 13, 149--166 (1986; Zbl 0614.90091) Full Text: DOI
Shanno, David F. Globally convergent conjugate gradient algorithms. (English) Zbl 0579.90079 Math. Program. 33, 61-67 (1985). Reviewer: V.M.Veliov MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{D. F. Shanno}, Math. Program. 33, 61--67 (1985; Zbl 0579.90079) Full Text: DOI
Bulteau, J. P.; Vial, J. P. A restricted trust region algorithm for unconstrained optimization. (English) Zbl 0556.90075 J. Optimization Theory Appl. 47, 413-435 (1985). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{J. P. Bulteau} and \textit{J. P. Vial}, J. Optim. Theory Appl. 47, 413--435 (1985; Zbl 0556.90075) Full Text: DOI
Lindström, Per; Wedin, Per-Åke A new linesearch algorithm for nonlinear least squares problems. (English) Zbl 0546.90076 Math. Program. 29, 268-296 (1984). Reviewer: W.Zulehner MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{P. Lindström} and \textit{P.-Å. Wedin}, Math. Program. 29, 268--296 (1984; Zbl 0546.90076) Full Text: DOI