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An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 页码: 23
Authors:  Liu, Zexian;  Liu, Hongwei;  Dai, Yu-Hong
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Conjugate gradient algorithm  Limited memory  Quasi-Newton method  Preconditioned conjugate gradient algorithm  Global convergence  
Stochastic proximal quasi-Newton methods for non-convex composite optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 5, 页码: 922-948
Authors:  Wang, Xiaoyu;  Wang, Xiao;  Yuan, Ya-xiang
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Non-convex composite optimization  Polyak-Lojasiewicz (PL) inequality  stochastic gradient  stochastic variance reduction gradient  symmetric rank one method  rank one proximity operator  complexity bound  
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  
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
Authors:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
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optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
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  
Subspace methods for large scale nonlinear equations and nonlinear least squares 期刊论文
OPTIMIZATION AND ENGINEERING, 2009, 卷号: 10, 期号: 2, 页码: 207-218
Authors:  Yuan, Ya-Xiang
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Nonlinear equations  Nonlinear least squares  Subspace  Trust region  Line search  
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2007, 卷号: 57, 期号: 3, 页码: 235-252
Authors:  An, Heng-Bin;  Bai, Zhong-Zhi
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systems of nonlinear equations  inexact Newton method  GMRES  global convergence  
Convergence of quasi-Newton method with new inexact line search 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 卷号: 315, 期号: 1, 页码: 120-131
Authors:  Shi, ZJ
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unconstrained optimization  quasi-Newton method  inexact line search  convergence  
An adaptive conic trust-region method for unconstrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2005, 卷号: 20, 期号: 6, 页码: 665-677
Authors:  Han, QM;  Sun, WY;  Han, JY;  Sampaio, RJB
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trust-region method  conic model  Quasi-Newton method  non-linear programming  self-adjust strategy  
An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2003, 卷号: 10, 期号: 4, 页码: 323-334
Authors:  Dai, YH;  Martinez, JM;  Yuan, JY
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conjugate gradients  unconstrained minimization  truncated Newton methods  truncated quasi-Newton methods  large scale problems