Results 21 to 30 of about 393,817 (333)
Stabilizing tensor products [PDF]
Proceedings of the American Mathematical Society, 1975 Let C C be a symmetric monoidal category with a suspension, and let SC be the resulting stable category. We shall give necessary and sufficient conditions for extending the symmetric monoidal structure to a monoidal structure on SC. These imply that the usual smash product on finite pointed CW complexes cannot be extended to a smash ...
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Journal of Pure and Applied Algebra, 2009 Let \(A=A_1\oplus\cdots\oplus A_r\) be a decomposition of the associative algebra \(A\) as a direct sum of its vector subspaces \(A_i\). This decomposition is regular if for any choice of the indices \(i_j\) one has \(A_{i_1}\cdots A_{i_n}\neq 0\), and furthermore for every \(i\) and \(j\) and every \(x_i\in A_i\), \(x_j\in A_j\) one has \(x_ix_j ...
Bahturin, Yuri, Regev, Amitai
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Frame-indifference of cross products, rotations, and the permutation tensor
Theoretical and Applied Mechanics Letters, 2020 : Under improper transformations, the traditional transformation laws for cross products, the permutation tensor, and rotations are incorrect. For a cross product, using a counter-example the left-hand rule is proved wrong.
Maolin Du
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A constructive arbitrary-degree Kronecker product decomposition of tensors [PDF]
, 2016 We propose the tensor Kronecker product singular value decomposition~(TKPSVD) that decomposes a real $k$-way tensor $\mathcal{A}$ into a linear combination of tensor Kronecker products with an arbitrary number of $d$ factors $\mathcal{A} = \sum_{j=1}^R ...
Batselier, Kim, Wong, Ngai
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Solvability of the Sylvester equation AX−XB=C under left semi-tensor product
Mathematical Modelling and Control, 2022 This paper investigates the solvability of the Sylvester matrix equation AX−XB=C with respect to left semi-tensor product. Firstly, we discuss the matrix-vector equation AX−XB=C under semi-tensor product.
Naiwen Wang
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Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm [PDF]
, 2013 We investigate tree tensor network states for quantum chemistry. Tree tensor network states represent one of the simplest generalizations of matrix product states and the density matrix renormalization group.
Chan, Garnet Kin-Lic, Nakatani, Naoki
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Journal of Inequalities and Applications, 2019 To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert ...
Ya-Hui Wang, Yun-Zhang Li
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AN ORDER-P TENSOR MULTIPLICATION WITH CIRCULANT STRUCTURE
Barekeng, 2023 Research on mathematical operations involving multidimensional arrays or tensors has increased along with the growing applications involving multidimensional data analysis. The -product of order- tensor is one of tensor multiplications.
Itsar Mangngiri +2 more
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Localizations of tensor products
Rendiconti del Seminario Matematico della Università di Padova, 2014 A homomorphism {\lambda}:A\rightarrow B between R -modules is called a localization if for all {\varphi} \in Hom_{R}(A,B)
Dugas, Manfred +2 more
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WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]
Journal of Algebraic Systems, 2020 The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions.
S. Afshar Jahanshahi, A. Ahmadi
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