Results 11 to 20 of about 31,623 (263)
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 ...
Banaschewski, Bernhard, Nelson, Evelyn
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The Tensor Product of Polynomials [PDF]
Experimental Mathematics, 1999 Using Grobner basis algorithms in MAGMA we find necessary and sufficient conditions for a polynomial of degree 6 over any field to bethe tensor product of two polynomials, one of degree 3 and one of degree 2.
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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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Tensor rank is not multiplicative under the tensor product [PDF]
Linear Algebra and its Applications, 2018 Fixed a typo in Remark ...
M. Christandl (Matthias) +2 more
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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 ...
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Tensor Product of Evolution Algebras
Mediterranean Journal of Mathematics, 2022 AbstractThe starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and only if every factor is an evolution algebra.
Yolanda Cabrera Casado +3 more
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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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IEEE Transactions on Quantum Engineering, 2020 We provide a procedure to construct entanglement-assisted Calderbank-Shor-Steane (CSS) codes over qudits from the parity check matrices of two classical codes over Fq, where q = pk, p is prime, and k is a positive integer.
Priya J. Nadkarni +1 more
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Tensor-matrix products with a compressed sparse tensor [PDF]
Proceedings of the 5th Workshop on Irregular Applications: Architectures and Algorithms, 2015 The Canonical Polyadic Decomposition (CPD) of tensors is a powerful tool for analyzing multi-way data and is used extensively to analyze very large and extremely sparse datasets. The bottleneck of computing the CPD is multiplying a sparse tensor by several dense matrices. Algorithms for tensor-matrix products fall into two classes.
Shaden Smith, George Karypis
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Real Color Image Denoising Using t-Product- Based Weighted Tensor Nuclear Norm Minimization
IEEE Access, 2019 Color images can be seen as third-order tensors with column, row and color modes. Considering two inherent characteristics of a color image including the non-local self-similarity (NSS) and the cross-channel correlation, we extract non-local similar ...
Min Liu, Xinggan Zhang, Lan Tang
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