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A Semi-Tensor Product of Tensors and Applications
East Asian Journal on Applied Mathematics, 2022Summary: A 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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Semi‐tensor product of quaternion matrices and its application
Mathematical Methods in the Applied Sciences, 2022Unlike 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 ...
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Image encryption algorithm with matrix semi-tensor product
Nonlinear Dynamics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengye Zou, Xingyuan Wang, Haifeng Li
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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
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Semi-tensor product approach to networked evolutionary games
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Rapid compressed sensing reconstruction: A semi-tensor product approach
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