Abstract
The E-characteristic polynomial of an even order supersymmetric tensor is a useful tool in determining the positive definiteness of an even degree multivariate form. In this paper, for an even order tensor, we first establish the formula of its E-characteristic polynomial by using the classical Macaulay formula of resultants, then give an upper bound for the degree of that E-characteristic polynomial. Examples illustrate that this bound is attainable in some low order and dimensional cases.
Original language | English |
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Pages (from-to) | 1218-1229 |
Number of pages | 12 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 329 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 May 2007 |
Keywords
- E-Characteristic polynomial
- E-Eigenvalue
- Resultant
- Tensor
- Upper bound
ASJC Scopus subject areas
- Analysis
- Applied Mathematics