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math.SP2025
Quasi-Irreducibility of Nonnegative Biquadratic Tensors
Liqun Qi, Chunfeng Cui, Yi Xu
While the adjacency tensor of a bipartite 2-graph is a nonnegative biquadratic tensor, it is inherently reducible. To address this limitation, we introduce the concept of quasi-irr…
math.SP2025
Biquadratic Tensors: Eigenvalues and Structured Tensors
Liqun Qi, Chunfeng Cui
The covariance tensors in statistics{, elasticity tensor in solid mechanics, Riemann curvature tensor in relativity theory are all biquadratic tensors that are weakly symmetric, bu…