Sharp Bounds on the Minimum M-Eigenvalue of Elasticity M-Tensors

被引：6
|
作者：
Zhang, Ying [1 ]
Sun, Linxuan [2 ]
Wang, Gang [2 ]
机构：
[1] Shandong Water Conservancy Vocat Coll, Sch Basic Teaching, Rizhao 276800, Peoples R China
[2] Qufu Normal Univ, Sch Management Sci, Rizhao 276800, Peoples R China
来源：
MATHEMATICS | 2020年 / 8卷 / 02期
关键词：
elasticity M-tensors; minimum M-eigenvalue; upper and lower bounds; POSITIVE DEFINITENESS; STRONG ELLIPTICITY; STABILITY; SYSTEMS; SETS;
D O I：
10.3390/math8020250
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The M-eigenvalue of elasticity M-tensors play important roles in nonlinear elastic material analysis. In this paper, we establish an upper bound and two sharp lower bounds for the minimum M-eigenvalue of elasticity M-tensors without irreducible conditions, which improve some existing results. Numerical examples are proposed to verify the efficiency of the obtained results.
引用
收藏
页数：13
相关论文
共 50 条
  • [41] M-eigenvalue intervals and checkable sufficient conditions for the strong ellipticity
    He, Jun
    Li, Chaoqian
    Wei, Yimin
    APPLIED MATHEMATICS LETTERS, 2020, 102
  • [42] A nonnegativity preserving algorithm for multilinear systems with nonsingular M-tensors
    Bai, Xueli
    He, Hongjin
    Ling, Chen
    Zhou, Guanglu
    NUMERICAL ALGORITHMS, 2021, 87 (03) : 1301 - 1320
  • [43] New S-Type Bounds of M-Eigenvalues for Elasticity Tensors with Applications
    Zhang, Zhuanzhou
    He, Jun
    Liu, Yanmin
    Ren, Zerong
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [44] New bounds for the minimum eigenvalue of the fan product of two M-matrices
    Guanghui Cheng
    Czechoslovak Mathematical Journal, 2014, 64 : 63 - 68
  • [45] Lower bounds on the minimum eigenvalue of the Fan product of several M-matrices
    Zhong, Qin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [46] New bounds for the minimum eigenvalue of the fan product of two M-matrices
    Cheng, Guanghui
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) : 63 - 68
  • [47] 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
  • [48] Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix
    Li, Yao-tang
    Wang, Feng
    Li, Chao-qian
    Zhao, Jian-xing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [49] Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix
    Zhao, Jianxing
    Sang, Caili
    OPEN MATHEMATICS, 2016, 14 : 81 - 88
  • [50] Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix
    Yao-tang Li
    Feng Wang
    Chao-qian Li
    Jian-xing Zhao
    Journal of Inequalities and Applications, 2013
12345