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A NEW FIRST-ORDER ALGORITHMIC FRAMEWORK FOR OPTIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2018, 卷号: 28, 期号: 1, 页码: 302-332
Authors:  Gao, Bin;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-Xiang
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orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
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
Authors:  Jiang, Bo;  Dai, Yu-Hong
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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  
Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications 期刊论文
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1997, 卷号: 24, 期号: 1, 页码: 29-46
Authors:  Fang, KT;  Li, RZ
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Givens transform  householder transform  number-theoretic method  spherical distribution  Stiefel manifold  test of spherical symmetry