Bounds of H-eigenvalues of interval tensors

被引：0
|
作者：
Lu-Bin Cui
Xiao-Jing Zhang
机构：
[1] Henan Normal University,School of Mathematics and Information Sciences, Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control
来源：
Computational and Applied Mathematics | 2023年 / 42卷
关键词：
Bound; Eigenvalue; Symmetric tensor; Nonnegative tensor; Perturbation; 15A18; 15A69;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The tensor eigenvalue problem has been widely studied in recent years. In this paper, we propose a new constructive way to estimate bounds on the H-eigenvalues of two kinds of interval tensors including nonnegative tensors and real symmetric tensors of even order. As applications, perturbation analysis of both nonnegative tensors and real symmetric tensors is numerically studied. One open question in Qi (Linear Algebra Appl 439:228–238, 2013) has also been answered.
引用
收藏
相关论文
共 50 条
  • [41] 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
  • [42] Bounds for Aα-eigenvalues
    da Silva Jr, Joao Domingos Gomes
    Oliveira, Carla Silva
    da Costa, Liliana Manuela G. C.
    RAIRO-OPERATIONS RESEARCH, 2023, 57 (05) : 2783 - 2798
  • [43] THE MULTIVARIATE EIGENVALUES OF SYMMETRIC TENSORS
    Zhou, Anwa
    Ni, Yangyang
    Fan, Jinyan
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2024, 45 (04) : 1954 - 1977
  • [44] Real eigenvalues of nonsymmetric tensors
    Nie, Jiawang
    Zhang, Xinzhen
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2018, 70 (01) : 1 - 32
  • [45] Bounds of eigenvalues for structures with an interval description of uncertain-but-non-random parameters
    Qiu, ZP
    Chen, SH
    Elishakoff, I
    CHAOS SOLITONS & FRACTALS, 1996, 7 (03) : 425 - 434
  • [46] Real eigenvalues of nonsymmetric tensors
    Jiawang Nie
    Xinzhen Zhang
    Computational Optimization and Applications, 2018, 70 : 1 - 32
  • [47] The eigenvalues and eigenvectors of nonsingular tensors, similar tensors and tensor products
    Liu, Xifu
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (09): : 1717 - 1725
  • [48] Upper (lower) bounds of the eigenvalues, spread and the open problems for the real symmetric interval matrices
    Wu, Junliang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (04) : 413 - 421
  • [49] BOUNDS FOR EIGENVALUES OF A GRAPH
    Kumar, Ravinder
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2010, 4 (03): : 399 - 404
  • [50] BOUNDS OF EIGENVALUES OF GRAPHS
    HONG, Y
    DISCRETE MATHEMATICS, 1993, 123 (1-3) : 65 - 74
12345