Andrei, Neculai A note on memory-less SR1 and memory-less BFGS methods for large-scale unconstrained optimization. (English) Zbl 07512662 Numer. Algorithms 90, No. 1, 223-240 (2022). MSC: 65K10 90C53 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Algorithms 90, No. 1, 223--240 (2022; Zbl 07512662) Full Text: DOI OpenURL
Oliveira, Rodrigo A.; Paula, Gilberto A. Additive models with autoregressive symmetric errors based on penalized regression splines. (English) Zbl 07524035 Comput. Stat. 36, No. 4, 2435-2466 (2021). MSC: 62G08 62J05 62J20 65C60 PDF BibTeX XML Cite \textit{R. A. Oliveira} and \textit{G. A. Paula}, Comput. Stat. 36, No. 4, 2435--2466 (2021; Zbl 07524035) Full Text: DOI OpenURL
Hyde, David A. B.; Bao, Michael; Fedkiw, Ronald On obtaining sparse semantic solutions for inverse problems, control, and neural network training. (English) Zbl 07515412 J. Comput. Phys. 443, Article ID 110498, 29 p. (2021). MSC: 90Cxx 68Txx 65Kxx PDF BibTeX XML Cite \textit{D. A. B. Hyde} et al., J. Comput. Phys. 443, Article ID 110498, 29 p. (2021; Zbl 07515412) Full Text: DOI OpenURL
Luo, Shaowen; Villar, Daniel The price adjustment hazard function: evidence from high inflation periods. (English) Zbl 1475.91103 J. Econ. Dyn. Control 130, Article ID 104135, 26 p. (2021). MSC: 91B24 91B82 PDF BibTeX XML Cite \textit{S. Luo} and \textit{D. Villar}, J. Econ. Dyn. Control 130, Article ID 104135, 26 p. (2021; Zbl 1475.91103) Full Text: DOI OpenURL
de Langlard, Mathieu; Lamadie, Fabrice; Charton, Sophie; Debayle, Johan Bayesian inference of a parametric random spheroid from its orthogonal projections. (English) Zbl 1473.62087 Methodol. Comput. Appl. Probab. 23, No. 2, 549-567 (2021). MSC: 62F15 60J20 PDF BibTeX XML Cite \textit{M. de Langlard} et al., Methodol. Comput. Appl. Probab. 23, No. 2, 549--567 (2021; Zbl 1473.62087) Full Text: DOI OpenURL
Ek, David; Forsgren, Anders Exact linesearch limited-memory quasi-Newton methods for minimizing a quadratic function. (English) Zbl 1473.90106 Comput. Optim. Appl. 79, No. 3, 789-816 (2021). MSC: 90C20 90C53 PDF BibTeX XML Cite \textit{D. Ek} and \textit{A. Forsgren}, Comput. Optim. Appl. 79, No. 3, 789--816 (2021; Zbl 1473.90106) Full Text: DOI arXiv OpenURL
Rodomanov, Anton; Nesterov, Yurii New results on superlinear convergence of classical quasi-Newton methods. (English) Zbl 1469.90160 J. Optim. Theory Appl. 188, No. 3, 744-769 (2021). MSC: 90C53 90C30 68Q25 PDF BibTeX XML Cite \textit{A. Rodomanov} and \textit{Y. Nesterov}, J. Optim. Theory Appl. 188, No. 3, 744--769 (2021; Zbl 1469.90160) Full Text: DOI arXiv OpenURL
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui; Zhang, Sen Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization. (English) Zbl 1468.65073 Appl. Numer. Math. 165, 290-302 (2021). MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{X.-l. Luo} et al., Appl. Numer. Math. 165, 290--302 (2021; Zbl 1468.65073) Full Text: DOI arXiv OpenURL
Rodomanov, Anton; Nesterov, Yurii Greedy quasi-Newton methods with explicit superlinear convergence. (English) Zbl 1461.90167 SIAM J. Optim. 31, No. 1, 785-811 (2021). MSC: 90C53 90C30 68Q25 PDF BibTeX XML Cite \textit{A. Rodomanov} and \textit{Y. Nesterov}, SIAM J. Optim. 31, No. 1, 785--811 (2021; Zbl 1461.90167) Full Text: DOI arXiv OpenURL
Yuan, Gonglin; Wang, Xiaoliang; Sheng, Zhou The projection technique for two open problems of unconstrained optimization problems. (English) Zbl 1450.90037 J. Optim. Theory Appl. 186, No. 2, 590-619 (2020). MSC: 90C26 90C53 PDF BibTeX XML Cite \textit{G. Yuan} et al., J. Optim. Theory Appl. 186, No. 2, 590--619 (2020; Zbl 1450.90037) Full Text: DOI OpenURL
Ross, I. M. An optimal control theory for nonlinear optimization. (English) Zbl 1417.49039 J. Comput. Appl. Math. 354, 39-51 (2019). MSC: 49M15 90C05 PDF BibTeX XML Cite \textit{I. M. Ross}, J. Comput. Appl. Math. 354, 39--51 (2019; Zbl 1417.49039) Full Text: DOI OpenURL
Yao, Xianshuang; Wang, Zhanshan Broad echo state network for multivariate time series prediction. (English) Zbl 1453.62652 J. Franklin Inst. 356, No. 9, 4888-4906 (2019). MSC: 62M10 62M20 62H12 68T05 PDF BibTeX XML Cite \textit{X. Yao} and \textit{Z. Wang}, J. Franklin Inst. 356, No. 9, 4888--4906 (2019; Zbl 1453.62652) Full Text: DOI OpenURL
Sen, Sumen; Sengupta, Pooja; Diawara, Norou Doubly inflated Poisson model using Gaussian copula. (English) Zbl 07416415 Commun. Stat., Theory Methods 47, No. 12, 2848-2858 (2018). MSC: 62-XX 62E99 PDF BibTeX XML Cite \textit{S. Sen} et al., Commun. Stat., Theory Methods 47, No. 12, 2848--2858 (2018; Zbl 07416415) Full Text: DOI OpenURL
Benson, Hande Y.; Shanno, David F. Cubic regularization in symmetric rank-1 quasi-Newton methods. (English) Zbl 1411.90315 Math. Program. Comput. 10, No. 4, 457-486 (2018). MSC: 90C30 90C53 90-08 PDF BibTeX XML Cite \textit{H. Y. Benson} and \textit{D. F. Shanno}, Math. Program. Comput. 10, No. 4, 457--486 (2018; Zbl 1411.90315) Full Text: DOI OpenURL
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max Survey of multifidelity methods in uncertainty propagation, inference, and optimization. (English) Zbl 1458.65003 SIAM Rev. 60, No. 3, 550-591 (2018). MSC: 65-02 62-02 49-02 PDF BibTeX XML Cite \textit{B. Peherstorfer} et al., SIAM Rev. 60, No. 3, 550--591 (2018; Zbl 1458.65003) Full Text: DOI arXiv OpenURL
Forsgren, Anders; Odland, Tove On exact linesearch quasi-Newton methods for minimizing a quadratic function. (English) Zbl 1411.90248 Comput. Optim. Appl. 69, No. 1, 225-241 (2018). MSC: 90C20 90C53 PDF BibTeX XML Cite \textit{A. Forsgren} and \textit{T. Odland}, Comput. Optim. Appl. 69, No. 1, 225--241 (2018; Zbl 1411.90248) Full Text: DOI arXiv OpenURL
Yuan, Gonglin; Sheng, Zhou; Wang, Bopeng; Hu, Wujie; Li, Chunnian The global convergence of a modified BFGS method for nonconvex functions. (English) Zbl 1370.90203 J. Comput. Appl. Math. 327, 274-294 (2018). MSC: 90C26 PDF BibTeX XML Cite \textit{G. Yuan} et al., J. Comput. Appl. Math. 327, 274--294 (2018; Zbl 1370.90203) Full Text: DOI OpenURL
Liu, Xueyan; Winter, Bryan; Tang, Li; Zhang, Bo; Zhang, Zhiwei; Zhang, Hui Simulating comparisons of different computing algorithms fitting zero-inflated Poisson models for zero abundant counts. (English) Zbl 07192084 J. Stat. Comput. Simulation 87, No. 13, 2609-2621 (2017). MSC: 62-XX PDF BibTeX XML Cite \textit{X. Liu} et al., J. Stat. Comput. Simulation 87, No. 13, 2609--2621 (2017; Zbl 07192084) Full Text: DOI OpenURL
Yuan, Gonglin; Wei, Zengxin; Lu, Xiwen Global convergence of BFGS and PRP methods under a modified weak Wolfe-Powell line search. (English) Zbl 1446.65031 Appl. Math. Modelling 47, 811-825 (2017). MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{G. Yuan} et al., Appl. Math. Modelling 47, 811--825 (2017; Zbl 1446.65031) Full Text: DOI OpenURL
Gower, Robert M.; Richtárik, Peter Randomized quasi-Newton updates are linearly convergent matrix inversion algorithms. (English) Zbl 1379.65016 SIAM J. Matrix Anal. Appl. 38, No. 4, 1380-1409 (2017). MSC: 65F05 65F10 65F08 PDF BibTeX XML Cite \textit{R. M. Gower} and \textit{P. Richtárik}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1380--1409 (2017; Zbl 1379.65016) Full Text: DOI arXiv OpenURL
Li, Xiangrong; Wang, Bopeng; Hu, Wujie A modified nonmonotone BFGS algorithm for unconstrained optimization. (English) Zbl 1372.65179 J. Inequal. Appl. 2017, Paper No. 183, 18 p. (2017). MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{X. Li} et al., J. Inequal. Appl. 2017, Paper No. 183, 18 p. (2017; Zbl 1372.65179) Full Text: DOI OpenURL
Davidson, Shaun M.; Docherty, Paul D.; Murray, Rua The dimensional reduction method for identification of parameters that trade-off due to similar model roles. (English) Zbl 1361.92004 Math. Biosci. 285, 119-127 (2017). MSC: 92B15 62P10 PDF BibTeX XML Cite \textit{S. M. Davidson} et al., Math. Biosci. 285, 119--127 (2017; Zbl 1361.92004) Full Text: DOI OpenURL
Jensen, T. L.; Diehl, Moritz An approach for analyzing the global rate of convergence of quasi-Newton and truncated-Newton methods. (English) Zbl 1360.90294 J. Optim. Theory Appl. 172, No. 1, 206-221 (2017). MSC: 90C53 49M15 47N10 PDF BibTeX XML Cite \textit{T. L. Jensen} and \textit{M. Diehl}, J. Optim. Theory Appl. 172, No. 1, 206--221 (2017; Zbl 1360.90294) Full Text: DOI Link OpenURL
Cho, Won Sang; Gainer, James S.; Kim, Doojin; Lim, Sung Hak; Matchev, Konstantin T.; Moortgat, Filip; Pape, Luc; Park, Myeonghun OPTIMASS: a package for the minimization of kinematic mass functions with constraints. (English) Zbl 1388.81005 J. High Energy Phys. 2016, No. 1, Paper No. 26, 40 p. (2016). MSC: 81-04 81V35 PDF BibTeX XML Cite \textit{W. S. Cho} et al., J. High Energy Phys. 2016, No. 1, Paper No. 26, 40 p. (2016; Zbl 1388.81005) Full Text: DOI arXiv OpenURL
Arzuka, Ibrahim; Abu Bakar, Mohd R.; Leong, Wah June A scaled three-term conjugate gradient method for unconstrained optimization. (English) Zbl 1355.65074 J. Inequal. Appl. 2016, Paper No. 325, 16 p. (2016). MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{I. Arzuka} et al., J. Inequal. Appl. 2016, Paper No. 325, 16 p. (2016; Zbl 1355.65074) Full Text: DOI OpenURL
Waldrip, Steven H.; Niven, Robert K. Maximum entropy derivation of quasi-Newton methods. (English) Zbl 1356.90163 SIAM J. Optim. 26, No. 4, 2495-2511 (2016). MSC: 90C53 49M15 PDF BibTeX XML Cite \textit{S. H. Waldrip} and \textit{R. K. Niven}, SIAM J. Optim. 26, No. 4, 2495--2511 (2016; Zbl 1356.90163) Full Text: DOI OpenURL
Stich, S. U.; Müller, C. L.; Gärtner, B. Variable metric random pursuit. (English) Zbl 1342.90137 Math. Program. 156, No. 1-2 (A), 549-579 (2016). MSC: 90C25 90C56 90C53 68Q25 PDF BibTeX XML Cite \textit{S. U. Stich} et al., Math. Program. 156, No. 1--2 (A), 549--579 (2016; Zbl 1342.90137) Full Text: DOI arXiv Link OpenURL
Cao, Danping; Liao, Wenyuan A computational method for full waveform inversion of crosswell seismic data using automatic differentiation. (English) Zbl 1344.86002 Comput. Phys. Commun. 188, 47-58 (2015). MSC: 86-08 86A15 PDF BibTeX XML Cite \textit{D. Cao} and \textit{W. Liao}, Comput. Phys. Commun. 188, 47--58 (2015; Zbl 1344.86002) Full Text: DOI OpenURL
Raguet, Hugo; Landrieu, Loïc Preconditioning of a generalized forward-backward splitting and application to optimization on graphs. (English) Zbl 1338.47120 SIAM J. Imaging Sci. 8, No. 4, 2706-2739 (2015). MSC: 47N10 90C25 94A08 62H11 91D20 PDF BibTeX XML Cite \textit{H. Raguet} and \textit{L. Landrieu}, SIAM J. Imaging Sci. 8, No. 4, 2706--2739 (2015; Zbl 1338.47120) Full Text: DOI arXiv OpenURL
Burmen, Árpád; Olenšek, Jernej; Tuma, Tadej Mesh adaptive direct search with second directional derivative-based Hessian update. (English) Zbl 1337.90063 Comput. Optim. Appl. 62, No. 3, 693-715 (2015). MSC: 90C30 90C56 65K05 90C20 PDF BibTeX XML Cite \textit{Á. Burmen} et al., Comput. Optim. Appl. 62, No. 3, 693--715 (2015; Zbl 1337.90063) Full Text: DOI OpenURL
Tapia, Richard On averaging and representation properties of the BFGS and related secant updates. (English) Zbl 1328.49028 Math. Program. 153, No. 2 (A), 363-380 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 49M15 90C53 65K05 PDF BibTeX XML Cite \textit{R. Tapia}, Math. Program. 153, No. 2 (A), 363--380 (2015; Zbl 1328.49028) Full Text: DOI OpenURL
Forsgren, Anders; Odland, Tove On the connection between the conjugate gradient method and quasi-Newton methods on quadratic problems. (English) Zbl 1311.65069 Comput. Optim. Appl. 60, No. 2, 377-392 (2015). MSC: 65K05 90C53 90C20 PDF BibTeX XML Cite \textit{A. Forsgren} and \textit{T. Odland}, Comput. Optim. Appl. 60, No. 2, 377--392 (2015; Zbl 1311.65069) Full Text: DOI arXiv OpenURL
Jesudason, Christopher Gunaseelan Numerical reduced variable optimization methods via implicit functional dependence with applications. (English) Zbl 1470.90131 Abstr. Appl. Anal. 2014, Article ID 108184, 13 p. (2014). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{C. G. Jesudason}, Abstr. Appl. Anal. 2014, Article ID 108184, 13 p. (2014; Zbl 1470.90131) Full Text: DOI arXiv OpenURL
Zhang, Dali; Lin, Gui-Hua Bilevel direct search method for leader-follower problems and application in health insurance. (English) Zbl 1348.91083 Comput. Oper. Res. 41, 359-373 (2014). MSC: 91A65 90B90 90C90 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{G.-H. Lin}, Comput. Oper. Res. 41, 359--373 (2014; Zbl 1348.91083) Full Text: DOI OpenURL
Al-Baali, Mehiddin; Spedicato, Emilio; Maggioni, Francesca Broyden’s quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems. (English) Zbl 1308.90202 Optim. Methods Softw. 29, No. 5, 937-954 (2014). MSC: 90C53 90C30 90C46 65K05 PDF BibTeX XML Cite \textit{M. Al-Baali} et al., Optim. Methods Softw. 29, No. 5, 937--954 (2014; Zbl 1308.90202) Full Text: DOI OpenURL
Combettes, Patrick L.; Vũ, Băng C. Variable metric forward-backward splitting with applications to monotone inclusions in duality. (English) Zbl 1309.90109 Optimization 63, No. 9, 1289-1318 (2014). MSC: 90C33 49M37 47J25 90C48 PDF BibTeX XML Cite \textit{P. L. Combettes} and \textit{B. C. Vũ}, Optimization 63, No. 9, 1289--1318 (2014; Zbl 1309.90109) Full Text: DOI arXiv OpenURL
Stachurski, Andrzej Oblique projections, Broyden restricted class and limited-memory quasi-Newton methods. (English) Zbl 1288.90129 Optimization 63, No. 1, 129-144 (2014). MSC: 90C53 47A64 90C30 90C20 47A05 47A07 PDF BibTeX XML Cite \textit{A. Stachurski}, Optimization 63, No. 1, 129--144 (2014; Zbl 1288.90129) Full Text: DOI OpenURL
Itai, Uri; Sharon, Nir Subdivision schemes for positive definite matrices. (English) Zbl 1280.41002 Found. Comput. Math. 13, No. 3, 347-369 (2013). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 65D05 65D10 PDF BibTeX XML Cite \textit{U. Itai} and \textit{N. Sharon}, Found. Comput. Math. 13, No. 3, 347--369 (2013; Zbl 1280.41002) Full Text: DOI OpenURL
Dai, Yu-Hong A perfect example for the BFGS method. (English) Zbl 1262.49040 Math. Program. 138, No. 1-2 (A), 501-530 (2013). MSC: 49M37 49M15 90C30 PDF BibTeX XML Cite \textit{Y.-H. Dai}, Math. Program. 138, No. 1--2 (A), 501--530 (2013; Zbl 1262.49040) Full Text: DOI OpenURL
Cioaca, Alexandru; Alexe, Mihai; Sandu, Adrian Second-order adjoints for solving PDE-constrained optimization problems. (English) Zbl 1260.49060 Optim. Methods Softw. 27, No. 4-5, 625-653 (2012). MSC: 49M37 49K40 65K10 PDF BibTeX XML Cite \textit{A. Cioaca} et al., Optim. Methods Softw. 27, No. 4--5, 625--653 (2012; Zbl 1260.49060) Full Text: DOI Link OpenURL
El Mouatasim, Abdelkrim; Ellaia, Rachid; Souza de Cursi, Eduardo Random perturbation of the projected variable metric method for nonsmooth nonconvex optimization problems with linear constraints. (English) Zbl 1271.49022 Int. J. Appl. Math. Comput. Sci. 21, No. 2, 317-329 (2011). MSC: 49M30 PDF BibTeX XML Cite \textit{A. El Mouatasim} et al., Int. J. Appl. Math. Comput. Sci. 21, No. 2, 317--329 (2011; Zbl 1271.49022) Full Text: DOI OpenURL
Liu, Qunfeng Two minimal positive bases based direct search conjugate gradient methods for computationally expensive functions. (English) Zbl 1387.65052 Numer. Algorithms 58, No. 4, 461-474 (2011). MSC: 65K05 PDF BibTeX XML Cite \textit{Q. Liu}, Numer. Algorithms 58, No. 4, 461--474 (2011; Zbl 1387.65052) Full Text: DOI OpenURL
Yuan, Gonglin; Lu, Xiwen An active set limited memory BFGS algorithm for bound constrained optimization. (English) Zbl 1221.90082 Appl. Math. Modelling 35, No. 7, 3561-3573 (2011). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{G. Yuan} and \textit{X. Lu}, Appl. Math. Modelling 35, No. 7, 3561--3573 (2011; Zbl 1221.90082) Full Text: DOI OpenURL
Peng, Chun-Cheng; Magoulas, George D. Nonmonotone BFGS-trained recurrent neural networks for temporal sequence processing. (English) Zbl 1207.92004 Appl. Math. Comput. 217, No. 12, 5421-5441 (2011). MSC: 92B20 68T05 90C90 65C60 PDF BibTeX XML Cite \textit{C.-C. Peng} and \textit{G. D. Magoulas}, Appl. Math. Comput. 217, No. 12, 5421--5441 (2011; Zbl 1207.92004) Full Text: DOI OpenURL
Liang, Faming Annealing stochastic approximation Monte Carlo algorithm for neural network training. (English) Zbl 1470.68135 Mach. Learn. 68, No. 3, 201-233 (2007). MSC: 68T05 65C05 PDF BibTeX XML Cite \textit{F. Liang}, Mach. Learn. 68, No. 3, 201--233 (2007; Zbl 1470.68135) Full Text: DOI OpenURL
Wang, Xiaogang; Liang, Dong; Feng, Xingdong; Ye, Lu A derivative-free optimization algorithm based on conditional moments. (English) Zbl 1171.65401 J. Math. Anal. Appl. 331, No. 2, 1337-1360 (2007). MSC: 65K05 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Math. Anal. Appl. 331, No. 2, 1337--1360 (2007; Zbl 1171.65401) Full Text: DOI Link OpenURL
Wei, Zengxin; Li, Guoyin; Qi, Liqun New quasi-Newton methods for unconstrained optimization problems. (English) Zbl 1100.65054 Appl. Math. Comput. 175, No. 2, 1156-1188 (2006). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{Z. Wei} et al., Appl. Math. Comput. 175, No. 2, 1156--1188 (2006; Zbl 1100.65054) Full Text: DOI OpenURL
Yang, Yao Wen; Xu, Jian Feng; Soh, Chee Kiong An evolutionary programming algorithm for continuous global optimization. (English) Zbl 1099.90579 Eur. J. Oper. Res. 168, No. 2, 354-369 (2006). MSC: 90C30 90C59 PDF BibTeX XML Cite \textit{Y. W. Yang} et al., Eur. J. Oper. Res. 168, No. 2, 354--369 (2006; Zbl 1099.90579) Full Text: DOI OpenURL
Koutroumbas, Konstantinos; Kalouptsidis, Nicholas Generalized Hamming networks and applications. (English) Zbl 1077.68766 Neural Netw. 18, No. 7, 896-913 (2005). MSC: 68T05 PDF BibTeX XML Cite \textit{K. Koutroumbas} and \textit{N. Kalouptsidis}, Neural Netw. 18, No. 7, 896--913 (2005; Zbl 1077.68766) Full Text: DOI OpenURL
Zohdi, T. I.; Wriggers, P. Computational micro-macro material testing. (English) Zbl 1027.74016 Arch. Comput. Methods Eng. 8, No. 2, 131-228 (2001). Reviewer: Hilmi Demiray (İstanbul) MSC: 74E30 74S99 74-02 74-05 PDF BibTeX XML Cite \textit{T. I. Zohdi} and \textit{P. Wriggers}, Arch. Comput. Methods Eng. 8, No. 2, 131--228 (2001; Zbl 1027.74016) Full Text: DOI OpenURL
Lewis, Robert Michael; Torczon, Virginia; Trosset, Michael W. Direct search methods: Then and now. (English) Zbl 0969.65055 J. Comput. Appl. Math. 124, No. 1-2, 191-207 (2000). Reviewer: Akrur Behera (Rourkela) MSC: 65K05 90C30 90C56 PDF BibTeX XML Cite \textit{R. M. Lewis} et al., J. Comput. Appl. Math. 124, No. 1--2, 191--207 (2000; Zbl 0969.65055) Full Text: DOI OpenURL
Wang, Zhi; Droegemeier, K. The adjoint Newton algorithm for large-scale unconstrained optimization in meteorology applications. (English) Zbl 0912.90265 Comput. Optim. Appl. 10, No. 3, 283-320 (1998); erratum ibid. 74, No. 3, 949 (2019). MSC: 90C30 90C06 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{K. Droegemeier}, Comput. Optim. Appl. 10, No. 3, 283--320 (1998; Zbl 0912.90265) Full Text: DOI OpenURL
Wang, Zhi; Navon, I. M.; Zou, X.; Le Dimet, F. X. A truncated Newton optimization algorithm in meteorology applications with analytic Hessian/vector products. (English) Zbl 0831.90124 Comput. Optim. Appl. 4, No. 3, 241-262 (1995). MSC: 90C52 90C90 86A10 90C30 PDF BibTeX XML Cite \textit{Z. Wang} et al., Comput. Optim. Appl. 4, No. 3, 241--262 (1995; Zbl 0831.90124) Full Text: DOI OpenURL
Lukšan, L. Computational experience with known variable metric updates. (English) Zbl 0819.90097 J. Optimization Theory Appl. 83, No. 1, 27-47 (1994). MSC: 90C30 PDF BibTeX XML Cite \textit{L. Lukšan}, J. Optim. Theory Appl. 83, No. 1, 27--47 (1994; Zbl 0819.90097) Full Text: DOI OpenURL
Hager, W. W. Analysis and implementation of a dual algorithm for constrained optimization. (English) Zbl 0797.90092 J. Optimization Theory Appl. 79, No. 3, 427-462 (1993). MSC: 90C30 90-08 PDF BibTeX XML Cite \textit{W. W. Hager}, J. Optim. Theory Appl. 79, No. 3, 427--462 (1993; Zbl 0797.90092) Full Text: DOI OpenURL
Bayer, D. A.; Lagarias, J. C. Karmarkar’s linear programming algorithm and Newton’s method. (English) Zbl 0736.90053 Math. Program., Ser. A 50, No. 3, 291-330 (1991). MSC: 90C05 49M15 65K05 90-08 90C30 PDF BibTeX XML Cite \textit{D. A. Bayer} and \textit{J. C. Lagarias}, Math. Program. 50, No. 3 (A), 291--330 (1991; Zbl 0736.90053) Full Text: DOI OpenURL
Ford, J. A.; Ghandhari, R.-A. On the use of function-values in unconstrained optimisation. (English) Zbl 0686.65031 J. Comput. Appl. Math. 28, 187-198 (1989). Reviewer: N.Djuranović-Miličić MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. A. Ford} and \textit{R. A. Ghandhari}, J. Comput. Appl. Math. 28, 187--198 (1989; Zbl 0686.65031) Full Text: DOI OpenURL
Hager, W. W. Dual techniques for constrained optimization. (English) Zbl 0622.90075 J. Optimization Theory Appl. 55, No. 1-2, 37-71 (1987). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{W. W. Hager}, J. Optim. Theory Appl. 55, No. 1--2, 37--71 (1987; Zbl 0622.90075) Full Text: DOI OpenURL
van Laarhoven, P. J. M. Parallel variable metric algorithms for unconstrained optimization. (English) Zbl 0602.90121 Math. Program. 33, 68-81 (1985). Reviewer: Xue Guoliang MSC: 90C30 49M15 65K05 49M37 PDF BibTeX XML Cite \textit{P. J. M. van Laarhoven}, Math. Program. 33, 68--81 (1985; Zbl 0602.90121) Full Text: DOI OpenURL
Biegler-König, F. Quasi-Newton methods for saddlepoints. (English) Zbl 0558.65042 J. Optimization Theory Appl. 47, 393-399 (1985). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{F. Biegler-König}, J. Optim. Theory Appl. 47, 393--399 (1985; Zbl 0558.65042) Full Text: DOI OpenURL
Abdel-Halim, M. A.; Christensen, G. S.; Kelly, D. H. Optimal load frequency control with governor backlash. (English) Zbl 0544.93024 J. Optimization Theory Appl. 45, 505-516 (1985). MSC: 93B50 90C30 93C15 PDF BibTeX XML Cite \textit{M. A. Abdel-Halim} et al., J. Optim. Theory Appl. 45, 505--516 (1985; Zbl 0544.93024) Full Text: DOI OpenURL
Nazareth, Larry An alternative variational principle for variable metric updating. (English) Zbl 0567.49017 Math. Program. 30, 99-104 (1984). MSC: 90C99 49K10 90C30 PDF BibTeX XML Cite \textit{L. Nazareth}, Math. Program. 30, 99--104 (1984; Zbl 0567.49017) Full Text: DOI OpenURL
Tassopoulos, A.; Storey, C. A variable-metric method using a nonquadratic model. (English) Zbl 0519.49019 J. Optimization Theory Appl. 43, 383-393 (1984). MSC: 90C99 41A20 65K05 49M37 90C30 PDF BibTeX XML Cite \textit{A. Tassopoulos} and \textit{C. Storey}, J. Optim. Theory Appl. 43, 383--393 (1984; Zbl 0519.49019) Full Text: DOI OpenURL
McDowell, D. G. Conditions for variable-metric algorithms to be conjugate-gradient algorithms. (English) Zbl 0502.90075 J. Optimization Theory Appl. 41, 439-450 (1983). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{D. G. McDowell}, J. Optim. Theory Appl. 41, 439--450 (1983; Zbl 0502.90075) Full Text: DOI OpenURL
McDowell, D. G. Generalized conjugate directions for unconstrained function minimization. (English) Zbl 0502.90074 J. Optimization Theory Appl. 41, 523-531 (1983). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{D. G. McDowell}, J. Optim. Theory Appl. 41, 523--531 (1983; Zbl 0502.90074) Full Text: DOI OpenURL
Griewank, A.; Toint, Ph. L. Partitioned variable metric updates for large structured optimization problems. (English) Zbl 0482.65035 Numer. Math. 39, 119-137 (1982). MSC: 65K05 90C20 PDF BibTeX XML Cite \textit{A. Griewank} and \textit{Ph. L. Toint}, Numer. Math. 39, 119--137 (1982; Zbl 0482.65035) Full Text: DOI EuDML OpenURL
Grandinetti, L. A compact updating formula for quasi-Newton minimization algorithms. (English) Zbl 0449.65037 J. Optimization Theory Appl. 36, 477-494 (1982). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{L. Grandinetti}, J. Optim. Theory Appl. 36, 477--494 (1982; Zbl 0449.65037) Full Text: DOI OpenURL
Stachurski, Andrzej Superlinear convergence of symmetric Huang’s class of methods. (English) Zbl 0475.65037 Numer. Math. 38, 209-218 (1981). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{A. Stachurski}, Numer. Math. 38, 209--218 (1981; Zbl 0475.65037) Full Text: DOI EuDML OpenURL
Bräuninger, J. A variable metric algorithm for unconstrained minimization without evaluation of derivatives. (English) Zbl 0471.65040 Numer. Math. 36, 359-373 (1981). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. Bräuninger}, Numer. Math. 36, 359--373 (1981; Zbl 0471.65040) Full Text: DOI EuDML OpenURL
Ozaki, T. Maximum likelihood estimation of Hawkes’ self-exciting point processes. (English) Zbl 0447.62081 Ann. Inst. Stat. Math. 31, 145-155 (1979). MSC: 62M09 65K10 65C05 65C99 PDF BibTeX XML Cite \textit{T. Ozaki}, Ann. Inst. Stat. Math. 31, 145--155 (1979; Zbl 0447.62081) Full Text: DOI OpenURL
Cullum, J.; Brayton, R. K. Some remarks on the symmetric rank-one update. (English) Zbl 0387.65039 J. Optimization Theory Appl. 29, 493-519 (1979). MSC: 65K10 90C30 PDF BibTeX XML Cite \textit{J. Cullum} and \textit{R. K. Brayton}, J. Optim. Theory Appl. 29, 493--519 (1979; Zbl 0387.65039) Full Text: DOI OpenURL
Schnabel, Robert B. Optimal conditioning in the convex class of rank two updates. (English) Zbl 0402.90086 Math. Program. 15, 247-260 (1978). MSC: 90C30 49M15 PDF BibTeX XML Cite \textit{R. B. Schnabel}, Math. Program. 15, 247--260 (1978; Zbl 0402.90086) Full Text: DOI OpenURL
Murtagh, B. A.; Saunders, M. A. Large-scale linearly constrained optimization. (English) Zbl 0383.90074 Math. Program. 14, 41-72 (1978). MSC: 90C06 65K05 PDF BibTeX XML Cite \textit{B. A. Murtagh} and \textit{M. A. Saunders}, Math. Program. 14, 41--72 (1978; Zbl 0383.90074) Full Text: DOI OpenURL
Mikkilineni, R. P.; Feagin, T. A computational method for minimization with nonlinear constraints. (English) Zbl 0362.65055 J. Optimization Theory Appl. 25, 335-347 (1978). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{R. P. Mikkilineni} and \textit{T. Feagin}, J. Optim. Theory Appl. 25, 335--347 (1978; Zbl 0362.65055) Full Text: DOI OpenURL
Goldfarb, D. Generating conjugate directions whithout line searches using factorized variable metric updating formulas. (English) Zbl 0394.90089 Math. Program. 13, 94-110 (1977). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{D. Goldfarb}, Math. Program. 13, 94--110 (1977; Zbl 0394.90089) Full Text: DOI OpenURL
Nazareth, Larry A family of variable metric updates. (English) Zbl 0394.65021 Math. Program. 12, 157-172 (1977). MSC: 65K10 90C30 PDF BibTeX XML Cite \textit{L. Nazareth}, Math. Program. 12, 157--172 (1977; Zbl 0394.65021) Full Text: DOI OpenURL
Baptist, P.; Stoer, J. On the relation between quadratic termination and convergence properties of minimization algorithms. Part II. Applications. (English) Zbl 0366.65028 Numer. Math. 28, 367-391 (1977). MSC: 65K05 90C25 90C30 PDF BibTeX XML Cite \textit{P. Baptist} and \textit{J. Stoer}, Numer. Math. 28, 367--391 (1977; Zbl 0366.65028) Full Text: DOI EuDML OpenURL
Stoer, J. On the relation between quadratic termination and convergence properties of minimization algorithms. Part I. Theory. (English) Zbl 0366.65027 Numer. Math. 28, 343-366 (1977). MSC: 65K05 90C25 90C30 PDF BibTeX XML Cite \textit{J. Stoer}, Numer. Math. 28, 343--366 (1977; Zbl 0366.65027) Full Text: DOI EuDML OpenURL
Han, Shih-Ping Superlinearly convergent variable metric algorithms for general nonlinear programming problems. (English) Zbl 0364.90097 Math. Program. 11(1976), 263-282 (1977). MSC: 90C30 65K05 41A25 PDF BibTeX XML Cite \textit{S.-P. Han}, Math. Program. 11, 263--282 (1977; Zbl 0364.90097) Full Text: DOI OpenURL
Red, W. E. A method for determining the equilibrium states of dynamic systems. (English) Zbl 0332.90051 J. Optimization Theory Appl. 21, 299-317 (1977). MSC: 90C90 90C30 37-XX 65K05 70G10 PDF BibTeX XML Cite \textit{W. E. Red}, J. Optim. Theory Appl. 21, 299--317 (1977; Zbl 0332.90051) Full Text: DOI OpenURL
Saul’ev, V. K.; Samoilova, I. I. Approximation methods for the unconstrained optimization. (English) Zbl 0348.90115 J. Sov. Math. 4(1975), 681-705 (1976). MSC: 90C30 65K05 49Mxx PDF BibTeX XML Cite \textit{V. K. Saul'ev} and \textit{I. I. Samoilova}, J. Sov. Math. 4, 681--705 (1976; Zbl 0348.90115) Full Text: DOI OpenURL
Oren, S. S. On quasi-Newton and pseudo-Newton algorithms. (English) Zbl 0313.65041 J. Optimization Theory Appl. 20, 155-170 (1976). MSC: 65H10 65J05 90C30 65K05 PDF BibTeX XML Cite \textit{S. S. Oren}, J. Optim. Theory Appl. 20, 155--170 (1976; Zbl 0313.65041) Full Text: DOI OpenURL
Wolfe, M. A.; Viazminsky, C. Supermemory descent methods for unconstrained minimization. (English) Zbl 0304.49023 J. Optimization Theory Appl. 18, 455-468 (1976). MSC: 49M15 90C99 PDF BibTeX XML Cite \textit{M. A. Wolfe} and \textit{C. Viazminsky}, J. Optim. Theory Appl. 18, 455--468 (1976; Zbl 0304.49023) Full Text: DOI OpenURL
Casciaro, Raffaele Time evolutional analysis of nonlinear structures. (English) Zbl 0374.73069 Meccanica 10, 156-167 (1975). MSC: 74K99 PDF BibTeX XML Cite \textit{R. Casciaro}, Meccanica 10, 156--167 (1975; Zbl 0374.73069) Full Text: DOI OpenURL
Stoer, Josef On the convergence rate of imperfect minimization algorithms in Broyden’s \(\beta\)-class. (English) Zbl 0346.90047 Math. Program. 9, 313-335 (1975). MSC: 90C30 41A15 PDF BibTeX XML Cite \textit{J. Stoer}, Math. Program. 9, 313--335 (1975; Zbl 0346.90047) Full Text: DOI OpenURL
Lenard, Melanie L. Practical convergence conditions for the Davidon-Fletcher-Powell method. (English) Zbl 0329.90059 Math. Program. 9, 69-86 (1975). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{M. L. Lenard}, Math. Program. 9, 69--86 (1975; Zbl 0329.90059) Full Text: DOI OpenURL
Davidon, William C. Optimally conditioned optimization algorithms without line searches. (English) Zbl 0328.90055 Math. Program. 9, 1-30 (1975). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{W. C. Davidon}, Math. Program. 9, 1--30 (1975; Zbl 0328.90055) Full Text: DOI OpenURL
Sargent, R. W. H.; Murtagh, B. A. Projection methods for non-linear programming. (English) Zbl 0304.90097 Math. Program. 4, 245-268 (1973). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{R. W. H. Sargent} and \textit{B. A. Murtagh}, Math. Program. 4, 245--268 (1973; Zbl 0304.90097) Full Text: DOI OpenURL
Spedicato, E. Computational performance of Huang’s symmetric update for the conjugate gradient method. (English) Zbl 0283.65033 Calcolo 10, 179-205 (1973). MSC: 65K05 PDF BibTeX XML Cite \textit{E. Spedicato}, Calcolo 10, 179--205 (1973; Zbl 0283.65033) Full Text: DOI OpenURL
Charalambous, Christakis Unconstrained optimization based on homogeneous models. (English) Zbl 0277.90077 Math. Program. 5, 189-198 (1973). MSC: 90C30 PDF BibTeX XML Cite \textit{C. Charalambous}, Math. Program. 5, 189--198 (1973; Zbl 0277.90077) Full Text: DOI OpenURL
Ritter, Klaus A superlinearly convergent method for minimization problems with linear inequality constraints. (English) Zbl 0258.65066 Math. Program. 4, 44-71 (1973). MSC: 65K05 PDF BibTeX XML Cite \textit{K. Ritter}, Math. Program. 4, 44--71 (1973; Zbl 0258.65066) Full Text: DOI OpenURL
Oi, K.; Sayama, H.; Takamatsu, T. Computational schemes of the Davidon-Fletcher-Powell method in infinite- dimensional space. (English) Zbl 0253.65038 J. Optimization Theory Appl. 12, 447-458 (1973). MSC: 65K05 PDF BibTeX XML Cite \textit{K. Oi} et al., J. Optim. Theory Appl. 12, 447--458 (1973; Zbl 0253.65038) Full Text: DOI OpenURL
Martensson, K. A new approach to constrained function optimization. (English) Zbl 0253.49024 J. Optimization Theory Appl. 12, 531-554 (1973). MSC: 49M30 PDF BibTeX XML Cite \textit{K. Martensson}, J. Optim. Theory Appl. 12, 531--554 (1973; Zbl 0253.49024) Full Text: DOI OpenURL
Spedicato, E. Stability of Huang’s update for the conjugate gradient method. (English) Zbl 0243.49013 J. Optimization Theory Appl. 11, 469-479 (1973). MSC: 90C99 PDF BibTeX XML Cite \textit{E. Spedicato}, J. Optim. Theory Appl. 11, 469--479 (1973; Zbl 0243.49013) Full Text: DOI OpenURL
Huang, H. Y.; Chambliss, J. P. Quadratically convergent algorithms and one-dimensional search schemes. (English) Zbl 0238.65033 J. Optimization Theory Appl. 11, 175-188 (1973). MSC: 65K05 PDF BibTeX XML Cite \textit{H. Y. Huang} and \textit{J. P. Chambliss}, J. Optim. Theory Appl. 11, 175--188 (1973; Zbl 0238.65033) Full Text: DOI OpenURL
Greenstadt, John A quasi-Newton method with no derivatives. (English) Zbl 0273.90053 Math. Comput. 26, 145-166 (1972). MSC: 90C30 PDF BibTeX XML Cite \textit{J. Greenstadt}, Math. Comput. 26, 145--166 (1972; Zbl 0273.90053) Full Text: DOI OpenURL
Papaioannou, Takis; Kempthorne, Oscar Parallel tangents and steepest descent optimization algorithm a computer implementation with application to linear, partially linear models and qualitative data. (English) Zbl 0247.62002 J. Stat. Comput. Simulation 1, 349-376 (1972). MSC: 62-04 49-04 90C99 PDF BibTeX XML Cite \textit{T. Papaioannou} and \textit{O. Kempthorne}, J. Stat. Comput. Simulation 1, 349--376 (1972; Zbl 0247.62002) Full Text: DOI OpenURL
Dixon, L. C. W. Quasi-Newton algorithms generate identical points. (English) Zbl 0245.65029 Math. Program. 2, 383-387 (1972). MSC: 65K05 PDF BibTeX XML Cite \textit{L. C. W. Dixon}, Math. Program. 2, 383--387 (1972; Zbl 0245.65029) Full Text: DOI OpenURL
Mamen, R.; Mayne, D. Q. A pseudo Newton-Raphson method for function minimization. (English) Zbl 0233.65036 J. Optimization Theory Appl. 10, 263-276 (1972). MSC: 65K05 PDF BibTeX XML Cite \textit{R. Mamen} and \textit{D. Q. Mayne}, J. Optim. Theory Appl. 10, 263--276 (1972; Zbl 0233.65036) Full Text: DOI OpenURL
Dixon, L. C. W. Variable metric algorithms: Necessary and sufficient conditions for identical behaviour of nonquadratic functions. (English) Zbl 0226.49014 J. Optimization Theory Appl. 10, 34-40 (1972). MSC: 49K10 49M37 93C30 PDF BibTeX XML Cite \textit{L. C. W. Dixon}, J. Optim. Theory Appl. 10, 34--40 (1972; Zbl 0226.49014) Full Text: DOI OpenURL