Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28397
Title: The degree of the E-characteristic polynomial of an even order tensor
Authors: Ni, G
Qi, L 
Wang, F
Wang, Y
Keywords: E-Characteristic polynomial
E-Eigenvalue
Resultant
Tensor
Upper bound
Issue Date: 2007
Publisher: Academic Press
Source: Journal of mathematical analysis and applications, 2007, v. 329, no. 2, p. 1218-1229 How to cite?
Journal: Journal of mathematical analysis and applications 
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.
URI: http://hdl.handle.net/10397/28397
ISSN: 0022-247X
EISSN: 1096-0813
DOI: 10.1016/j.jmaa.2006.07.064
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