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Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 60
作者:  Hu, Shenglong;  Ye, Ke
收藏  |  浏览/下载:70/0  |  提交时间:2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
Optimal estimation of sensor biases for asynchronous multi-sensor data fusion 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 170, 期号: 1, 页码: 357-386
作者:  Pu, Wenqiang;  Liu, Ya-Feng;  Yan, Junkun;  Liu, Hongwei;  Luo, Zhi-Quan
收藏  |  浏览/下载:179/0  |  提交时间:2018/07/30
Block coordinate decent algorithm  Nonlinear least squares  Sensor registration problem  Tightness of semidefinite relaxation  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
作者:  Jiang, Bo;  Dai, Yu-Hong
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions  
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:109/0  |  提交时间:2018/07/30
Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
Recent advances in trust region algorithms 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 151, 期号: 1, 页码: 249-281
作者:  Yuan, Ya-xiang
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Trust region algorithms  Nonlinear optimization  Subproblem  Complexity  Convergence  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints  
On the truncated conjugate gradient method 期刊论文
MATHEMATICAL PROGRAMMING, 2000, 卷号: 87, 期号: 3, 页码: 561-573
作者:  Yuan, Y
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
unconstrained optimization  trust region  conjugate gradient  
A hybrid Newton method for solving the variational inequality problem via the D-gap function 期刊论文
MATHEMATICAL PROGRAMMING, 1999, 卷号: 86, 期号: 2, 页码: 367-386
作者:  Peng, JM;  Fukushima, M
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
variational inequality problem  D-gap function  Newton's method  unconstrained optimization  global convergence  quadratic convergence  
A QP-free constrained Newton-type method for variational inequality problems 期刊论文
MATHEMATICAL PROGRAMMING, 1999, 卷号: 85, 期号: 1, 页码: 81-106
作者:  Kanzow, C;  Qi, HD
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
variational inequality problem  Newton's method  semismoothness  global convergence  quadratic convergence  strong regularity