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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  
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
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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  
Unconstrained optimization reformulations of equilibrium problems 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 卷号: 25, 期号: 3, 页码: 343-354
Authors:  Zhang, Li Ping;  Han, Ji Ye
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equilibrium problems  D-gap function  error bound  unconstrained optimization  
On the use of simplex methods in constructing quadratic models 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 卷号: 50, 期号: 7, 页码: 913-924
Authors:  Zhou, Qing-hua
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unconstrained optimization  trust region method  quadratic model  Lagrange function  simplex methods  direct methods  
Convergence analysis of adaptive trust region methods 期刊论文
RAIRO-OPERATIONS RESEARCH, 2007, 卷号: 41, 期号: 1, 页码: 105-121
Authors:  Shi, Zhen-Jun;  Zhang, Xiang-Sun;  Shen, Jie
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adaptive trust region method  unconstrained optimization  global convergence  super-linear convergence  
Convergence of nonmonotone line search method 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 193, 期号: 2, 页码: 397-412
Authors:  Shi, ZJ;  Shen, J
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unconstrained optimization  general line search method  nonmonotone line search  convergence