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
相关论文
共 50 条
  • [1] New M-Eigenvalue Inclusion Sets for Fourth-Order Partially Symmetric Tensors with Applications
    Jun He
    Yanmin Liu
    Guangjun Xu
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 3929 - 3947
  • [2] ON THE M-EIGENVALUE ESTIMATION OF FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS
    Che, Haitao
    Chen, Haibin
    Wang, Yiju
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 16 (01) : 309 - 324
  • [3] FURTHER RESULTS OF M-EIGENVALUE FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS AND THEIR APPLICATIONS
    Zhang, Juan
    Liang, Xiaonv
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (06): : 3134 - 3161
  • [4] M-eigenvalue inclusion intervals for a fourth-order partially symmetric tensor
    Li, Suhua
    Li, Chaoqian
    Li, Yaotang
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 356 : 391 - 401
  • [5] A TIGHTER M-EIGENVALUE LOCALIZATION SET FOR FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS
    Wang, Wenchao
    Li, Meixia
    Che, Haitao
    PACIFIC JOURNAL OF OPTIMIZATION, 2020, 16 (04): : 687 - 698
  • [6] NEW M-EIGENVALUE INTERVALS AND APPLICATION TO THE STRONG ELLIPTICITY OF FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS
    Che, Haitao
    Chen, Haibin
    Zhou, Guanglu
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 17 (06) : 3685 - 3694
  • [7] PARAMETERIZED S-TYPE M-EIGENVALUE INCLUSION INTERVALS FOR FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS AND ITS APPLICATIONS
    Liu, Kaiping
    Che, Haitao
    Chen, Haibin
    Li, Meixia
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2023, 19 (05) : 3060 - 3074
  • [8] SHARP UPPER BOUNDS ON THE MAXIMUM M-EIGENVALUE OF FOURTH-ORDER PARTIALLY SYMMETRIC NONNEGATIVE TENSORS
    Yao, Yuyan
    Wang, Gang
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2022, 5 (01): : 33 - 44
  • [9] A practical method for computing the largest M-eigenvalue of a fourth-order partially symmetric tensor
    Wang, Yiju
    Qi, Liqun
    Zhang, Xinzhen
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 16 (07) : 589 - 601
  • [10] Shifted Inverse Power Method for Computing the Smallest M-Eigenvalue of a Fourth-Order Partially Symmetric Tensor
    Zhao, Jianxing
    Liu, Pin
    Sang, Caili
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 200 (03) : 1131 - 1159
12345