New M-Eigenvalue Inclusion Sets for Fourth-Order Partially Symmetric Tensors with Applications

被引：7
|
作者：
He, Jun [1 ]
Liu, Yanmin [1 ]
Xu, Guangjun [1 ]
机构：
[1] Zunyi Normal Coll, Sch Math, Zunyi 563006, Guizhou, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 06期
关键词：
Fourth-order partially symmetric tensor; M-positive definiteness of tensor; M-eigenvalue inclusion sets; STRONG ELLIPTICITY;
D O I：
10.1007/s40840-021-01152-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The M-positive definiteness for fourth-order partially symmetric tensors plays important roles in the theory of nonlinear elasticity. Some sufficient conditions of the M-positive definiteness for fourth-order partially symmetric tensors are given based on two new M-eigenvalue inclusion sets for fourth-order partially symmetric tensors. These M-eigenvalue inclusion sets also provide upper bounds for the M-spectral radius of fourth-order partially symmetric tensors.
引用
收藏
页码：3929 / 3947
页数：19
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