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Optimization Methods and Software Volume 28, 2013 - Issue 4: the 8th International Conference on Optimization: Techniques and Applications
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Original Articles

Feasible Barzilai–Borwein-like methods for extreme symmetric eigenvalue problems

Bo Jiang State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China
&
Yu-Hong Dai State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, ChinaCorrespondence[email protected]
Pages 756-784 | Received 25 Apr 2011, Accepted 06 Jan 2012, Published online: 02 Feb 2012

Citations (13)

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Yakui Huang, Yu-Hong Dai, Xin-Wei Liu & Hongchao Zhang. (2020) Gradient methods exploiting spectral properties. Optimization Methods and Software 35:4, pages 681-705.
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Articles from other publishers (12)

Xinrui Li & Yakui Huang. (2022) A gradient method exploiting the two dimensional quadratic termination property. Optimization Letters 17:6, pages 1413-1434.
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Xin-Rui Li & Ya-Kui Huang. (2023) A Note on R-Linear Convergence of Nonmonotone Gradient Methods. Journal of the Operations Research Society of China.
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Ya Zhang & Cong Sun. (2022) Cyclic Gradient Methods for Unconstrained Optimization. Journal of the Operations Research Society of China.
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Yakui Huang, Yu-Hong Dai, Xin-Wei Liu & Hongchao Zhang. (2022) On the acceleration of the Barzilai–Borwein method. Computational Optimization and Applications 81:3, pages 717-740.
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Yakui Huang, Yu-Hong Dai, Xin-Wei Liu & Hongchao Zhang. (2021) On the Asymptotic Convergence and Acceleration of Gradient Methods. Journal of Scientific Computing 90:1.
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Yakui Huang, Yu-Hong Dai & Xin-Wei Liu. 2021. Numerical Analysis and Optimization. Numerical Analysis and Optimization 135 151 .
Yu-Hong Dai, Yakui Huang & Xin-Wei Liu. (2019) A family of spectral gradient methods for optimization. Computational Optimization and Applications 74:1, pages 43-65.
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Huan Gao, Hai-Bin Zhang, Zhi-Bao Li & Emmanuel Tadjouddine. (2015) A nonmonotone inexact Newton method for unconstrained optimization. Optimization Letters 11:5, pages 947-965.
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Yakui Huang & Hongwei Liu. (2016) Smoothing projected Barzilai–Borwein method for constrained non-Lipschitz optimization. Computational Optimization and Applications 65:3, pages 671-698.
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Zhanwen Shi, Guanyu Yang & Yunhai Xiao. (2015) A limited memory BFGS algorithm for non-convex minimization with applications in matrix largest eigenvalue problem. Mathematical Methods of Operations Research 83:2, pages 243-264.
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Bo Jiang & Yu-Hong Dai. (2014) A framework of constraint preserving update schemes for optimization on Stiefel manifold. Mathematical Programming 153:2, pages 535-575.
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Huan Gao, Yu-Hong Dai & Xiao-Jiao Tong. (2014) Barzilai-Borwein-like methods for the extreme eigenvalue problem. Journal of Industrial and Management Optimization 11:3, pages 999-1019.
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