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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
作者:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
收藏  |  浏览/下载:171/0  |  提交时间:2020/01/10
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
作者:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained optimization  
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
作者:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
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
作者:  Dai, Yu-Hong
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
unconstrained optimization  nonconvex  conjugate gradient method  method of shortest residuals  descent property  global convergence  
The cyclic Barzilai-Borwein method for unconstrained optimization 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2006, 卷号: 26, 期号: 3, 页码: 604-627
作者:  Dai, Yu-Hong;  Hager, William W.;  Schittkowski, Klaus;  Zhang, Hongchao
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
unconstrained optimization  gradient method  convex quadratic programming  non-monotone line search  
A new stepsize for the steepest descent method 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 2, 页码: 149-156
作者:  Yuan, YX
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
steepest descent  line search  unconstrained optimization  convergence  
On restart procedures for the conjugate gradient method 期刊论文
NUMERICAL ALGORITHMS, 2004, 卷号: 35, 期号: 2-4, 页码: 249-260
作者:  Dai, YH;  Liao, LZ;  Li, D
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
unconstrained optimization  conjugate gradient method  BFGS updating formula  restart  global convergence  
Alternate minimization gradient method 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2003, 卷号: 23, 期号: 3, 页码: 377-393
作者:  Dai, YH;  Yuan, YX
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
linear system  unconstrained optimization  gradient method  monotonic and nonmonotonic  convergence rate  line search  
A class of globally convergent conjugate gradient methods 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 卷号: 46, 期号: 2, 页码: 251-261
作者:  Dai, YH;  Yuan, YX
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
unconstrained optimization  conjugate gradient  line search  global convergence  
A new family of trust region algorithms for unconstrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 2, 页码: 221-228
作者:  Dai, YH;  Xu, DX
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
trust region method  global convergence  quasi-Newton method  unconstrained optimization  nonlinear programming