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- W2080458532 abstract "In this paper, we show that the coefficients of the E-characteristic polynomial of a tensor are orthonormal invariants of that tensor. When the dimension is 2, some simplified formulas of the E-characteristic polynomial are presented. A re- sultant formula for the constant term of the E-characteristic polynomial is given. We then study the set of tensors with infinitely many eigenpairs and the set of irregular tensors, and prove both the sets have codimension 2 as subvarieties in the projective space of tensors. This makes our perturbation method workable. By using the perturbation method and exploring the difference between E-eigenvalues and eigenpair equivalence classes, we present a simple formula for the coefficient of the leading term of the E-characteristic polynomial, when the dimension is 2." @default.
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- W2080458532 date "2012-08-08" @default.
- W2080458532 modified "2023-09-27" @default.
- W2080458532 title "E-Characteristic Polynomials of Tensors" @default.
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- W2080458532 doi "https://doi.org/10.48550/arxiv.1208.1607" @default.
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