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A Survey on Semi-Tensor Product of Matrices
Journal of Systems Science and Complexity, 2007A 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
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A Semi-Tensor Product of Tensors and Applications
East Asian Journal on Applied Mathematics, 2022A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied.
Liu, Wei-Hui +2 more
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IEEE Internet of Things Journal, 2023
With the development of telemedicine diagnosis technology, the collection, storage, and transmission of medical data has become a pivotal problem. To solve these problems, in terms of semi-tensor product compressed sensing (STP-CS) and hybrid cloud, a ...
Xiu-Li Chai +5 more
semanticscholar +1 more source
With the development of telemedicine diagnosis technology, the collection, storage, and transmission of medical data has become a pivotal problem. To solve these problems, in terms of semi-tensor product compressed sensing (STP-CS) and hybrid cloud, a ...
Xiu-Li Chai +5 more
semanticscholar +1 more source
On Semi-Tensor Product of Matrices and Its Applications
Acta Mathematicae Applicatae Sinica, 2003Similarly 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
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Image encryption algorithm with matrix semi-tensor product
Nonlinear Dynamics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng-Ye Zou, Xing-Yuan Wang, Haifeng Li
semanticscholar +2 more sources
Digit. Signal Process., 2022
Recently visually secure image encryption scheme attracts more and more researchers' attention on the grounds that it will not stimulate the attackers' curiosity.
Ping Ping +4 more
semanticscholar +1 more source
Recently visually secure image encryption scheme attracts more and more researchers' attention on the grounds that it will not stimulate the attackers' curiosity.
Ping Ping +4 more
semanticscholar +1 more source
A new semi-tensor product of matrices
Control Theory and Technology, 2019A 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
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Semi-Tensor Product of Matrices and Its Application to Morgen’s Problem
Science in China Series F: Information Sciences, 2001This 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
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General decomposition of fuzzy relations: Semi-tensor product approach
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongbiao Fan +3 more
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Deepface-Based Chaotic Image Encryption Using Key Optimization and Semi-Tensor Product Theory
IEEE transactions on circuits and systems for video technology (Print)Currently, protecting personal privacy through selective encryption of facial images has become a research hotspot. This paper aims to design a new image encryption scheme using chaotic systems, optimization algorithms, and the Semi-Tensor Product (STP ...
Da-Wei Ding +4 more
semanticscholar +1 more source