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math.NA2026
Hamiltonian and Symplectic Tensors in the T-product Algebra
Susana Lopez-Moreno, Taehyeong Kim
We study Hamiltonian and symplectic tensor structures in the T-product algebra. We define T-Hamiltonian and T-symplectic tensors and characterize them through their Fourier-domain…
math.NA2026
Tensor CUR Decomposition under the Linear-Map-Based Tensor-Tensor Multiplication
Susana Lopez-Moreno, June-Ho Lee, Taehyeong Kim
The factorization of three-dimensional data continues to gain attention due to its relevance in representing and compressing large-scale datasets. The linear-map-based tensor-tenso…
math.NA2025★ 1 cited
On the computation of tensor functions under tensor-tensor multiplications with linear maps
Jeong-Hoon Ju, Susana Lopez-Moreno
In this paper we study the computation of both algebraic and non-algebraic tensor functions under the tensor-tensor multiplication with linear maps. In the case of algebraic tensor…