Algebraic method of simplifying Boolean networks using semi‐tensor product of Matrices

2019 ◽  
Vol 21 (6) ◽  
pp. 2569-2577 ◽  
Author(s):  
Yongyi Yan ◽  
Jumei Yue ◽  
Zengqiang Chen
Keyword(s):  
Tensor Product ◽  
Algebraic Method ◽  
Boolean Networks ◽  
Product Of Matrices

A new semi-tensor product of matrices

2019 ◽  
Vol 17 (1) ◽  
pp. 4-12
Author(s):  
Daizhan Cheng ◽  
Zequn Liu
Keyword(s):  
Tensor Product ◽  
Product Of Matrices

Calculation of Siphons and Minimal Siphons in Petri Nets Based on Semi-Tensor Product of Matrices

2017 ◽  
Vol 47 (3) ◽  
pp. 531-536 ◽  
Author(s):  
Xiaoguang Han ◽  
Zengqiang Chen ◽  
Zhongxin Liu ◽  
Qing Zhang
Keyword(s):  
Tensor Product ◽  
Petri Nets ◽  
Product Of Matrices

scholarly journals The Laplacian-Energy-Like Invariants of Three Types of Lattices

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Zheng-Qing Chu ◽  
Jia-Bao Liu ◽  
Xiao-Xin Li
Keyword(s):  
Tensor Product ◽  
Closed Form ◽  
Hexagonal Lattice ◽  
Circulant Matrices ◽  
Honeycomb Lattice ◽  
Asymptotic Values ◽  
Laplacian Energy ◽  
Product Of Matrices

This paper mainly studies the Laplacian-energy-like invariants of the modified hexagonal lattice, modified Union Jack lattice, and honeycomb lattice. By utilizing the tensor product of matrices and the diagonalization of block circulant matrices, we derive closed-form formulas expressing the Laplacian-energy-like invariants of these lattices. In addition, we obtain explicit asymptotic values of these invariants with software-aided computations of some integrals.

Calculating skeleton matrix of asynchronous sequential machines based on the semi-tensor product of matrices

2017 ◽  
Vol 11 (13) ◽  
pp. 2131-2139 ◽  
Author(s):  
Jingjing Wang ◽  
Xiaoguang Han ◽  
Zengqiang Chen ◽  
Qing Zhang
Keyword(s):  
Tensor Product ◽  
Sequential Machines ◽  
Product Of Matrices
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