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Tensor inversion and its application to the tensor equations with Einstein product
Linear and multilinear algebra, 2018Recently, the inverse of an even-order square tensor has been put forward in [Brazell M, Li N, Navasca C, Tamon C. Solving multilinear systems via tensor inversion. SIAM J Matrix Anal Appl.
Mao-lin Liang, B. Zheng, Ruijuan Zhao
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Tensor Golub–Kahan method based on Einstein product
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
El Hachimi, A. +3 more
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SENSITIVITY OF SOME TENSOR EQUATIONS WITH EINSTEIN PRODUCT
JP Journal of Algebra, Number Theory and Applications, 2019Summary: This paper focuses on the sensitivity of some tensor equations with respect to Einstein product. We investigate the backward error and perturbation bounds of the Sylvester tensor equation \(\mathcal{A} \ast_N \mathcal{X} + \mathcal{X} \ast_N \mathcal{C} = \mathcal{D}\) Also, we discuss the sensitivity of the solution of the continue-time ...
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An optimal preconditioner for tensor equations involving Einstein product
Linear and multilinear algebra, 2018An optimal preconditioner for tensor equations involving the Einstein product is considered. This preconditioner actually is an approximation to any given tensor in some tensor subspaces such as the subspace of all circulant tensors.
Ze-Jia Xie, Xiao-Qing Jin, V. Sin
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Parallel convolutional processing using an integrated photonic tensor core
Nature, 2021Johannes Feldmann, Nathan Youngblood
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Tensor lattice field theory for renormalization and quantum computing
Reviews of Modern Physics, 2022Yannick Meurice +2 more
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Scalar field coupling to Einstein tensor in regular black hole spacetime
, 2018Chi Zhang, Chen Wu
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Third-order nonlinear Hall effect induced by the Berry-connection polarizability tensor
Nature Nanotechnology, 2021Shen Lai, Huiying Liu, Zhaowei Zhang
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Higher-dimensional processing using a photonic tensor core with continuous-time data
Nature Photonics, 2023Bowei Dong +2 more
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Measurement of the quantum geometric tensor and of the anomalous Hall drift
Nature, 2020Antonio Gianfrate +2 more
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