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• W1861667016 abstract "In this paper, we study an eigenvalue problem for even order tensors. Using the matrix unfolding of even order tensors, we can establish the relationship between a tensor eigenvalue problem and a multilevel matrix eigenvalue problem. By considering a higher order singular value decomposition of a tensor, we show that higher order singular values are the square root of the eigenvalues of the product of the tensor and its conjugate transpose. This result is similar to that in matrix case. Also we study an eigenvalue problem for Toeplitz/circulant tensors, and give the lower and upper bounds of eigenvalues of Toeplitz tensors. An application in image restoration is also discussed." @default.
• W1861667016 created "2016-06-24" @default.
• W1861667016 creator A5001969147 @default.
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• W1861667016 date "2015-08-06" @default.
• W1861667016 modified "2023-10-18" @default.
• W1861667016 title "An eigenvalue problem for even order tensors with its applications" @default.
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• W1861667016 doi "https://doi.org/10.1080/03081087.2015.1071311" @default.
• W1861667016 hasPublicationYear "2015" @default.
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