Martínez, J. M.; Santos, L. T. On large-scale unconstrained optimization and arbitrary regularization. (English) Zbl 1484.90114 Comput. Optim. Appl. 81, No. 1, 1-30 (2022). MSC: 90C30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Rodomanov, Anton; Kropotov, Dmitry A randomized coordinate descent method with volume sampling. (English) Zbl 1447.90031 SIAM J. Optim. 30, No. 3, 1878-1904 (2020). MSC: 90C25 90C06 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brás, C. P.; Martínez, J. M.; Raydan, M. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. (English) Zbl 1432.90119 Comput. Optim. Appl. 75, No. 1, 169-205 (2020). MSC: 90C26 65K10 90C06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Ming; Liu, Hongwei; Liu, Zexian A new subspace minimization conjugate gradient method with nonmonotone line search for unconstrained optimization. (English) Zbl 1395.90225 Numer. Algorithms 79, No. 1, 195-219 (2018). MSC: 90C30 90C06 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Okoubi, Firmin Andzembe; Koko, Jonas Parallel Nesterov’s method for large-scale minimization of partially separable functions. (English) Zbl 1368.90127 Optim. Lett. 11, No. 3, 571-581 (2017). MSC: 90C25 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Bo; Cui, Chunfeng; Dai, Yu-Hong Unconstrained optimization models for computing several extreme eigenpairs of real symmetric matrices. (English) Zbl 1291.65122 Pac. J. Optim. 10, No. 1, 55-71 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65F15 65K05 90C06 90C20 × Cite Format Result Cite Review PDF Full Text: Link
Xiao, Yun-hai; Li, Ting-feng; Wei, Zeng-xin Global convergence of a modified limited memory BFGS method for non-convex minimization. (English) Zbl 1303.65048 Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 555-566 (2013). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Koko, J. Parallel Uzawa method for large-scale minimization of partially separable functions. (English) Zbl 1272.90090 J. Optim. Theory Appl. 158, No. 1, 172-187 (2013). MSC: 90C30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Yunhai; Song, Huina; Wang, Zhiguo A modified conjugate gradient algorithm with cyclic Barzilai-Borwein steplength for unconstrained optimization. (English) Zbl 1253.65101 J. Comput. Appl. Math. 236, No. 13, 3101-3110 (2012). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C06 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Junfeng; Zhang, Yin Alternating direction algorithms for \(\ell_1\)-problems in compressive sensing. (English) Zbl 1256.65060 SIAM J. Sci. Comput. 33, No. 1, 250-278 (2011). Reviewer: Hu Yong-Jian (Beijing) MSC: 65K05 65F22 90C25 90C06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Narushima, Yasushi; Wakamatsu, Takahiko; Yabe, Hiroshi Extended Barzilai-Borwein method for unconstrained minimization problems. (English) Zbl 1225.90080 Pac. J. Optim. 6, No. 3, 591-613 (2010). MSC: 90C06 90C30 × Cite Format Result Cite Review PDF
Boudinov, Edouard R.; Manevich, Arkadiy I. An efficient conjugate direction method with orthogonalization for large-scale quadratic optimization problems. (English) Zbl 1131.90460 Optim. Methods Softw. 22, No. 2, 309-328 (2007). MSC: 90C52 90C20 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Vlček, Jan; Lukšan, Ladislav Shifted limited-memory variable metric methods for large-scale unconstrained optimization. (English) Zbl 1080.65050 J. Comput. Appl. Math. 186, No. 2, 365-390 (2006). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C06 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Chehab, Jean-Paul; Raydan, Marcos Implicit and adaptive inverse preconditioned gradient methods for nonlinear problems. (English) Zbl 1078.65049 Appl. Numer. Math. 55, No. 1, 32-47 (2005). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Z.-J. A new class of memory gradient methods with inexact line searches. (English) Zbl 1072.65086 J. Numer. Math. 13, No. 1, 53-71 (2005). Reviewer: Silvia Curteanu (Iaşi) MSC: 65K05 90C30 90C52 90C53 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yueting; Xu, Chengxian; Gao, Yuelin A limited memory method for large scale problems. (Chinese. English summary) Zbl 1098.65068 J. Ningxia Univ., Nat. Sci. Ed. 25, No. 3, 219-222 (2004). MSC: 65K05 90C30 90C53 × Cite Format Result Cite Review PDF
Xu, Huining; Sun, Linping An iterated-subspace minimization method with symmetric rank-one updating. (English) Zbl 1075.65087 Numer. Math., J. Chin. Univ. 13, No. 2, 233-240 (2004). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF
Dai, Yu-Hong; Martínez, José Mario; Yuan, Jin-Yun An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches. (English) Zbl 1071.65039 Numer. Linear Algebra Appl. 10, No. 4, 323-334 (2003). Reviewer: Jiří Starý (Ostrava) MSC: 65F10 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
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Birgin, E. G.; Martínez, J. M. A spectral conjugate gradient method for unconstrained optimization. (English) Zbl 0990.90134 Appl. Math. Optimization 43, No. 2, 117-128 (2001). MSC: 90C52 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shin-Sung; Tseng, Ching-Huan Parallel synchronous and asynchronous space-decomposition algorithms for large-scale minimization problems. (English) Zbl 0997.90047 Comput. Optim. Appl. 17, No. 1, 85-107 (2000). MSC: 90C06 65Y05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chin-Sung; Tseng, Ching-Hung Space-decomposition minimization method for large-scale minimization problems. (English) Zbl 0931.90052 Comput. Math. Appl. 37, No. 7, 73-88 (1999). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
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Lucidi, Stefano; Rochetich, Francesco; Roma, Massimo A modified truncated Newton method which uses negative curvature directions for large scale unconstrained problems. (English) Zbl 0826.90107 Derigs, Ulrich (ed.) et al., Operations research proceedings 1994. Selected papers of the international conference on operations research, Berlin, August 30-September 2, 1994. Berlin: Springer-Verlag. 54-59 (1995). MSC: 90C30 90C06 × Cite Format Result Cite Review PDF
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Nash, Stephen G.; Nocedal, Jorge A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. (English) Zbl 0756.65091 SIAM J. Optim. 1, No. 3, 358-372 (1991). Reviewer: P.Stavre (Craiova) MSC: 65K05 90C06 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
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Luksan, Ladislav Variable metric method with limited storage for large-scale unconstrained minimization. (English) Zbl 0514.65049 Kybernetika 18, 517-528 (1982). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: EuDML