The degree of the E-characteristic polynomial of an even order tensor

Guyan Ni; Liqun Qi; Fei Wang; Yiju Wang

doi:10.1016/j.jmaa.2006.07.064

The degree of the E-characteristic polynomial of an even order tensor

Guyan Ni
, Liqun Qi
, Fei Wang
, Yiju Wang

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

68 Citations (Scopus)

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
Pages (from-to)	1218-1229
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	329
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2006.07.064
Publication status	Published - 15 May 2007

Keywords

E-Characteristic polynomial
E-Eigenvalue
Resultant
Tensor
Upper bound

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2006.07.064

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KW - E-Eigenvalue

KW - Resultant

KW - Tensor

KW - Upper bound

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DO - 10.1016/j.jmaa.2006.07.064

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ER -

The degree of the E-characteristic polynomial of an even order tensor

Abstract

Keywords

ASJC Scopus subject areas

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