Parameterized S-type M-eigenvalue inclusion intervals for fourth-order partially symmetric tensors and its applications.

Liu, Kaiping; Che, Haitao; Chen, Haibin; Li, Meixia

In this article, based on M-identity tensor, we establish some parameterized S-type inclusion intervals for fourth-order partially symmetric tensors. The new inclusion intervals are tighter than some existing results. Furthermore, some new S-type upper bounds on the M-spectral radius of fourth-order partially symmetric tensors are obtained. As applications, the new S-type upper bounds as the parameter of WQZ-algorithm can make the algorithm more rapidly converge to the largest M-eigenvalue of fourth-order partially symmetric tensors. Finally, we propose two sufficient conditions for the M-positive definiteness of fourth-order partially symmetric tensors.

EIGENVALUES; ALGORITHMS

Journal of Industrial & Management Optimization, 2023, Vol 19, Issue 5, p1

1547-5816

Academic Journal

10.3934/jimo.2022077