M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors

M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors

Abstract Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-positive semi-definiteness and M-positive definiteness of fourth-order Cauchy tensors...

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Bibliographic Details
Main Authors: Haitao Che, Haibin Chen, Yiju Wang
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Journal of Inequalities and Applications
Subjects:
Cauchy tensor
M-positive semi-definite
M-positive definite
Spectral property
Homogeneous polynomial
M-eigenvalue
Online Access:http://link.springer.com/article/10.1186/s13660-019-1986-x

Internet

http://link.springer.com/article/10.1186/s13660-019-1986-x

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