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Generalised semi-tensor product of matrices 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2020, 卷号: 14, 期号: 1, 页码: 85-95
作者:  Cheng, Daizhan;  Liu, Zequn;  Xu, Zhenhui;  Shen, Tielong
收藏  |  浏览/下载:201/0  |  提交时间:2020/05/24
vectors  tensors  matrix algebra  group theory  linear S-system  dynamic linear system  matrix multiplier  vector multiplier two kinds  matrix-vector STPs  standard STP  consistent MM-STP  MV-STP  cross-dimensional linear system  linear semigroup system  quotient matrix space  quotient vector space  S-system structure  quotient vector spaces  inner-product  cross-dimensional state space  matrix-matrix STPs  generalised semitensor product  
A SEMISMOOTH NEWTON METHOD FOR SEMIDEFINITE PROGRAMS AND ITS APPLICATIONS IN ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4131-A4157
作者:  Li, Yongfeng;  Wen, Zaiwen;  Yang, Chao;  Yuan, Ya-Xiang
收藏  |  浏览/下载:177/0  |  提交时间:2019/03/05
semidefinite programming  ADMM  semismooth Newton method  electronic structure calculation  two-body reduced density matrix  
The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations 期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2018, 卷号: 66, 期号: 4, 页码: 827-839
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载:267/0  |  提交时间:2018/07/30
System of nonlinear matrix equations  positive definite solution  structure-preserving doubling algorithm  convergence analysis  numerical examples  65H10  65F10  15A24  
Block relaxation and majorization methods for the nearest correlation matrix with factor structure 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 卷号: 50, 期号: 2, 页码: 327-349
作者:  Li, Qingna;  Qi, Houduo;  Xiu, Naihua
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
Block relaxation methods  Majorization methods  Correlation matrix  Factor structure  
Protein Structure Alignment Based on Internal Coordinates 期刊论文
INTERDISCIPLINARY SCIENCES-COMPUTATIONAL LIFE SCIENCES, 2010, 卷号: 2, 期号: 4, 页码: 308-319
作者:  Shen, Yue-Feng;  Li, Bo;  Liu, Zhi-Ping
收藏  |  浏览/下载:147/0  |  提交时间:2018/07/30
protein structure alignment  internal coordinate  difference matrix  structural bioinformatics  
On cone of nonsymmetric positive semidefinite matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 卷号: 433, 期号: 4, 页码: 718-736
作者:  Wang, Yingnan;  Xiu, Naihua;  Han, Jiye
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Nonsymmetric positive semidefinite matrix  Hyperbolic cone  Facial structure  Maximal convex subcone  P(0)-matrix  Projection  
Input-State Approach to Boolean Networks 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 卷号: 20, 期号: 3, 页码: 512-521
作者:  Cheng, Daizhan
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Algebraic form  input-state structure  invariant subspace  network transition matrix  
Clustering complex networks and biological networks by nonnegative matrix factorization with various similarity measures 期刊论文
NEUROCOMPUTING, 2008, 卷号: 72, 期号: 1-3, 页码: 134-141
作者:  Wang, Rui-Sheng;  Zhang, Shihua;  Wang, Yong;  Zhang, Xiang-Sun;  Chen, Luonan
收藏  |  浏览/下载:173/0  |  提交时间:2018/07/30
Complex networks  Biological networks  Community structure  Nonnegative matrix factorization  Similarity measure  
Some applications of semitensor product of matrices in algebra 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 卷号: 52, 期号: 6-7, 页码: 1045-1066
作者:  Cheng, Daizhan
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
semitensor product of matrices  (Lie) algebra  structure matrix  
On the mixed Cayley-Sylvester resultant matrix 期刊论文
ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION, PROCEEDINGS, 2006, 卷号: 4120, 页码: 146-159
作者:  Sun, Weikun;  Li, Hongbo
收藏  |  浏览/下载:140/0  |  提交时间:2018/07/30
mixed Cayley-Sylvester resultant matrix  Cayley quotient  Sylvester dialytic  block structure