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On the Asymptotic Convergence and Acceleration of Gradient Methods 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
Authors:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
Favorite  |  View/Download：77/0  |  Submit date：2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
EQUIPPING THE BARZILAI-BORWEIN METHOD WITH THE TWO DIMENSIONAL QUADRATIC TERMINATION PROPERTY 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3068-3096
Authors:  Ya-Kui Huang;  Yu-Hong Dai;  Xin-Wei Liu
Favorite  |  View/Download：63/0  |  Submit date：2022/04/02
Barzilai-Borwein method  quadratic termination property  unconstrained opti-mization  extreme eigenvalue problem  box-constrained optimization  singly linearly box-constrained optimization  
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization 期刊论文
NUMERICAL ALGORITHMS, 2020, 页码: 34
Authors:  Zhao, Ting;  Liu, Hongwei;  Liu, Zexian
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Conjugate gradient method  p-regularization model  Subspace technique  Nonmonotone line search  Unconstrained optimization  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
Authors:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
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Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
STABILIZED BARZILAI-BORWEIN METHOD 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 6, 页码: 916-936
Authors:  Burdakov, Oleg;  Dai, Yuhong;  Huang, Na
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Unconstrained optimization  Spectral algorithms  Stabilization  Convergence analysis  
Nonlinear Stepsize Control Algorithms: Complexity Bounds for First- and Second-Order Optimality 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 卷号: 171, 期号: 3, 页码: 980-997
Authors:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
Favorite  |  View/Download：85/0  |  Submit date：2018/07/30
Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained optimization  
On the worst-case complexity of nonlinear stepsize control algorithms for convex unconstrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2016, 卷号: 31, 期号: 3, 页码: 591-604
Authors:  Grapiglia, G. N.;  Yuan, J.;  Yuan, Y.
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worst-case complexity  trust-region methods  regularization methods  unconstrained optimization  90C30  65K05  49M37  49M15  90C29  
On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 152, 期号: 1-2, 页码: 491-520
Authors:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
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Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
POSITIVE-DEFINITE MEMORYLESS SYMMETRIC RANK ONE METHOD FOR LARGE-SCALE UNCONSTRAINED OPTIMIZATION 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2011, 卷号: 7, 期号: 1, 页码: 29-41
Authors:  Leong, Wah June;  Abu Hassan, Malik
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large-scale unconstrained optimization  symmetric rank one method  memoryless method  optimal scaling  
Convergence of conjugate gradient methods with constant stepsizes 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2011, 卷号: 26, 期号: 6, 页码: 895-909
Authors:  Dai, Yu-Hong
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unconstrained optimization  nonconvex  conjugate gradient method  method of shortest residuals  descent property  global convergence