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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：140/0  |  提交时间：2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
Improved two-step Newton's method for computing simple multiple zeros of polynomial systems 期刊论文
NUMERICAL ALGORITHMS, 2022, 页码: 32
作者:  Li, Nan;  Zhi, Lihong
收藏  |  浏览/下载：174/0  |  提交时间：2022/04/02
Polynomial system  Simple multiple zero  Newton's method  Quadratic convergence  
Computing real radicals and S-radicals of polynomial systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 259-278
作者:  El Din, Mohab Safey;  Yang, Zhi-Hong;  Zhi, Lihong
收藏  |  浏览/下载：469/0  |  提交时间：2020/09/23
Polynomial system  Real radical  S-radical ideal  Semi-algebraic set  Real algebraic geometry  
Quantum Strassen's theorem 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2020, 卷号: 23, 期号: 3, 页码: 29
作者:  Friedland, Shmuel;  Ge, Jingtong;  Zhi, Lihong
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Density matrices and operators  quantum marginals  quantum couplings  trace class operators  Hilbert-Schmidt operators  partial traces and weak operator convergence  SDP problems related to quantum marginals  Hausdorff metric  
Lifts of Non-Compact Convex Sets and Cone Factorizations 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 24
作者:  Wang, Chu;  Zhi, Lihong
收藏  |  浏览/下载：199/0  |  提交时间：2020/09/23
Cone factorization  convex set  lift  nonnegative rank  polyhedron  positive semidefinite rank  recession cone  
ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 322, 页码: 879-909
作者:  Hao, Zhiwei;  Jiang, Wenrong;  Li, Nan;  Zhi, Lihong
收藏  |  浏览/下载：192/0  |  提交时间：2020/05/24
Global Optimization of Polynomials over Real Algebraic Sets 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 158-184
作者:  Wang Chu;  Yang Zhi-Hong;  Zhi Lihong
收藏  |  浏览/下载：207/0  |  提交时间：2019/04/02
Polynomial optimization  real algebraic set  generalized critical value