On solutions of matrix equation AXB=C under semi-tensor product

DOI10.1080/03081087.2019.1650881zbMath1477.15009OpenAlexW2966963230MaRDI QIDQ4959301

Fu-Jian Duan, Tao Li, Xuelin Zhou, Zhen-Dong Ji, Jiao-Fen Li

Publication date: 13 September 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1650881

zbMATH Keywords

matrix equationnecessary and sufficient conditionsemi-tensor productcompatible conditions

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Unnamed Item
• On solutions of the matrix equation \(AX=B\) with respect to semi-tensor product
• An iterative method for symmetric solutions and optimal approximation solution of the system of matrix equations \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\)
• Ranks of least squares solutions of the matrix equation \(AXB=C\)
• An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)
• An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
• An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
• Block Toeplitz Matrices: Asymptotic Results and Applications
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• A Linear Representation of Dynamics of Boolean Networks
• Solvability of matrix equations , under semi-tensor product

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