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Journal of Algebra, 1991 The authors study prime ideals of the tensor product of the central closures of prime algebras. They show that some of the prime ideals are centrally generated, thus extending a result of Nicholson and Watters. In 1978, J. Krempa proved a lemma which plays an important role in the description of radicals of tensor products. The authors obtain a simpler
Edmund Puczyłowski, Eric Jespers
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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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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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Tensor Products and Bimorphisms [PDF]
Canadian Mathematical Bulletin, 1976 The binary tensor product, for modules over a commutative ring, has two different aspects: its connection with universal bilinear maps and its adjointness to the internal hom-functor. Furthermore, in the special situation of finite-dimensional vector spaces, the tensor product can also be described in terms of dual spaces and the internal hom-functor ...
Evelyn Nelson, Bernhard Banaschewski
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Linear Algebra and its Applications, 1982 Let U and V be normed vector spaces over the field \(F={\mathbb{R}}\) or \({\mathbb{C}}\). Endow the tensor product \(W=U\otimes V\) with the canonical norm (which is defined, e.g., by the condition that \(\{y\in W:\| y\| \leq 1\}=\quad convex\quad hull\quad of\quad \{p\otimes q:p\in U,\quad q\in V\quad and\quad \| p\| =\| q\| =1\}.\) Then any linear ...
Joel W. Robbin, Shmuel Friedland
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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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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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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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On nef and semistable hermitian lattices, and their behaviour under tensor product [PDF]
, 2010 We study the behaviour of semistability under tensor product in various settings: vector bundles, euclidean and hermitian lattices (alias Humbert forms or Arakelov bundles), multifiltered vector spaces.
André, Yves
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Tensor products and statistics
Linear Algebra and its Applications, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sylvie Viguier-Pla +2 more
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