Results 241 to 250 of about 173,664,564 (290)

On Semi-Tensor Product of Matrices and Its Applications

Acta Mathematicae Applicatae Sinica, 2003
Similarly to the left semi-tensor product the authors introduce the right semi-tensor product. Certain properties are presented. The major differences between the left and the right semi-tensor products are discussed. Then two new applications are investigated. The first one is its application to the connection.
Daizhan Cheng, Li-Jun Zhang
exaly   +3 more sources

A Survey on Semi-Tensor Product of Matrices

Journal of Systems Science and Complexity, 2007
A type \((m,n)\) matrix \(A\) and a type \((p,q)\) matrix \(B\) are said to be satisfying the factor dimension condition if \(n\) devides \(p\) or \(q\) devides \(n\). In this paper a product (called semi-tensor product) of matrices satisfying the factor dimension condition is surveyed. The authors list the basic algebraic properties of the semi-tensor
Daizhan Cheng, Ancheng Xue, Hongsheng Qi
exaly   +2 more sources

Semi-Tensor Product of Matrices and Its Application to Morgen’s Problem

Science in China Series F: Information Sciences, 2001
This paper proposes a new matrix product, namely, semi-tensor product. It is a generalization of the conventional matrix product. Meanwhile, it is also closely related to Kronecker (tensor) product of matrices. The purpose of introducing this product is twofold: (i) treat multi-dimensional data; (ii) treat nonlinear problems in a linear way.
Daizhan Cheng
exaly   +3 more sources

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

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017
In this paper, we address the problems of enumerating siphons and minimal siphons in ordinary Petri nets (PNs) by resorting to the semi-tensor product (STP) of matrices. First, a matrix equation, called the siphon equation (SE), is established by using STP. Second, an algorithm is proposed to calculate all siphons in ordinary PNs.
Zengqiang Chen, Zhongxin Liu, Xiaoguang Han   +2 more
exaly   +2 more sources

The Transformation Between the Galois NLFSRs and the Fibonacci NLFSRs via Semi-Tensor Product of Matrices

Automatica, 2018
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Tingwen Huang, Jinde Cao
exaly   +2 more sources

Modeling and Optimization for Networked Evolutionary Games With Player Exit Mechanism: Semi-Tensor Product of Matrices Method

Physica A: Statistical Mechanics and Its Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lulu Li, Jianquan Lu
exaly   +2 more sources

Solving the Sylvester-Transpose Matrix Equation Under the Semi-Tensor Product

Symmetry, 2022
This paper investigates the Sylvester-transpose matrix equation A⋉X+XT⋉B=C, where all mentioned matrices are over an arbitrary field. Here, ⋉ is the semi-tensor product, which is a generalization of the usual matrix product defined for ...
Pattrawut Chansangiam
exaly   +2 more sources

Semi‐tensor product of quaternion matrices and its application

Mathematical Methods in the Applied Sciences, 2022
Unlike real or complex numbers, quaternion multiplication does not satisfy the commutative law. This makes it impossible to generalize some conclusions on semi‐tensor product to quaternion directly, which is valid on real or complex number fields. In this paper, we define semi‐tensor product of quaternion matrices and study the properties of semi ...
Xueling Fan, Ying Li, Wenxv Ding, Jianli Zhao   +3 more
openaire   +1 more source

Stabilization of probabilistic finite automata based on semi-tensor product of matrices

Journal of the Franklin Institute, 2020
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Zhipeng Zhang, Zengqiang Chen 0001, Xiaoguang Han 0002, Zhongxin Liu 0001   +3 more
openaire   +1 more source

A new semi-tensor product of matrices

Control Theory and Technology, 2019
A new matrix product, called the second semi-tensor product (STP-II) of matrices is proposed. It is similar to the classical semi-tensor product (STP-I). First, its fundamental properties are presented. Then, the equivalence relation caused by STP-II is obtained. Using this equivalence, a quotient space is also obtained.
Daizhan Cheng, Zequn Liu
openaire   +1 more source