Solvability of the matrix equation \(AX^2 = B\) with semi-tensor product

DOI10.3934/era.2020114zbMath1466.15012OpenAlexW3093167751MaRDI QIDQ2030408

Jin Wang, Hua-Lin Huang, Jun-E. Feng

Publication date: 7 June 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020114

zbMATH Keywords

Toeplitz matrixmatrix equationsemi-tensor productmatrix-vector equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• On solutions of the matrix equation \(AX=B\) with respect to semi-tensor product
• Two iterative methods of decomposition of a fuzzy relation for image compression/decompression processing
• General decomposition of fuzzy relations: semi-tensor product approach
• Singular Boolean networks: Semi-tensor product approach
• Block Decoupling of Boolean Control Networks
• Robust graph coloring based on the matrix semi-tensor product with application to examination timetabling
• Solving the mixed Sylvester matrix equations by matrix decompositions

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