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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:116/0  |  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  
A FEASIBLE TRUST-REGION METHOD FOR CALCULATING EXTREME Z-EIGENVALUES OF SYMMETRIC TENSORS 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2015, 卷号: 11, 期号: 2, 页码: 291-307
作者:  Hao, Chun-Lin;  Cui, Chun-Feng;  Dai, Yu-Hong
收藏  |  浏览/下载:248/0  |  提交时间:2018/07/30
symmetric tensor  extreme Z-eigenvalue  feasible trust-region  global convergence  local quadratic convergence  
ON THE SOLVABILITY CONDITION AND NUMERICAL ALGORITHM FOR THE PARAMETERIZED GENERALIZED INVERSE EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015, 卷号: 36, 期号: 2, 页码: 707-726
作者:  Dai, Hua;  Bai, Zhong-Zhi;  Wei, Ying
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
inverse eigenvalue problem  multiparameter eigenvalue problem  smooth LU decomposition  Newton's method