Contracted product of hypermatrices via STP of matrices

DOI10.1007/s11768-023-00155-wzbMath1530.15031arXiv2305.11661MaRDI QIDQ6061913

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Publication date: 30 November 2023

Published in: Control Theory and Technology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.11661

zbMATH Keywords

permutation matricessemi-tensor productmatrix expressionhypermatrixcontracted product

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Special matrices (15B99)

Cites Work

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• Semi-tensor product of matrices and its application to Morgen's problem
• Perron-Frobenius theorem for hypermatrices in the max algebra
• From dimension-free matrix theory to cross-dimensional dynamic systems
• On equivalence of matrices
• A comprehensive survey on STP approach to finite games
• Modeling, Analysis and Control of Networked Evolutionary Games
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• Multiplications and eigenvalues of tensors via linear maps
• From dimension-free manifolds to dimension-varying control systems

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