New S-type inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor with applications

作者：

Highlights：

• Better inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor.

• Tighter upper bounds for the M-spectral radius of 4th-order partially symmetric tensors.

• New checkable sufficient conditions are given to identify the M-positive definiteness.

摘要

•Better inclusion theorems for the M-eigenvalues of a 4th-order partially symmetric tensor.•Tighter upper bounds for the M-spectral radius of 4th-order partially symmetric tensors.•New checkable sufficient conditions are given to identify the M-positive definiteness.

论文关键词：4th-order partially symmetric tensor,M-positive definiteness,M-eigenvalue,S-type inclusion theorems

论文评审过程：Received 9 February 2020, Revised 20 October 2020, Accepted 6 January 2021, Available online 28 January 2021, Version of Record 28 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.125992