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Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors

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In this paper, we present the pseudospectrum for generalized tensor eigenvalues, and a set to locate this pseudospectrum. By the relations between H-eigenvalues (Z-eigenvalues) of tensors and generalized tensor eigenvalues,… Click to show full abstract

In this paper, we present the pseudospectrum for generalized tensor eigenvalues, and a set to locate this pseudospectrum. By the relations between H-eigenvalues (Z-eigenvalues) of tensors and generalized tensor eigenvalues, a pseudospectral localization for H-eigenvalues (Z-eigenvalues, respectively) is given to seek positive definite tensors surrounding a positive definite tensor.

Keywords: positive definite; generalized tensor; tensor; seek positive; tensor eigenvalues

Journal Title: Computational and Applied Mathematics
Year Published: 2019

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