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Recent Advances in Eigenvalues Estimates of Special Matrices (Tensors)

This thematic series is devoted to publishing the latest and most significant results in eigenvalues estimates of special matrices (tensors). Its goals are to stimulate further research and to highlight recent advances in these fields as well as to promote, encourage, and bring together researchers in the fields of eigenvalues estimates of special matrices (tensors). In the last decade, spectral theory of matrices (tensors) and related topics emerged as a rapidly growing area of research because of its applications in computational mathematics, mathematical physics, mathematical economics, graph theory and wireless communications, etc. Many new results, including theory, methods and applications, have been developed during the recent years.

Edited by: Jianxing Zhao, Tomohiro Sogabe, Xianming Gu and Shiliang Wu

  1. Research

    The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices

    The result on the Geršgorin disc separation from the origin for strictly diagonally dominant matrices and their Schur complements in (Liu and Zhang in SIAM J. Matrix Anal. Appl. 27(3):665-674, 2005) is extended t...

    Cheng-yi Zhang, Weiwei Wang, Shuanghua Luo and Jianxing Zhao

    Journal of Inequalities and Applications 2017 2017:68

    Published on: 5 April 2017

  2. Research

    A geometrical interpretation of the inverse matrix

    Utilizing a new method to structure parallellotopes, a geometrical interpretation of the inverse matrix is given, which includes the generalized inverse of full column rank or a full row rank matrices. Further...

    Yanping Zhou and Binwu He

    Journal of Inequalities and Applications 2016 2016:257

    Published on: 19 October 2016

  3. Research

    Anisotropic interpolation theorems of Musielak-Orlicz type

    Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in math...

    Jinxia Li, Ruirui Sun and Baode Li

    Journal of Inequalities and Applications 2016 2016:243

    Published on: 3 October 2016

  4. Research

    A splitting method for shifted skew-Hermitian linear system

    In this paper, we present a splitting method for solving the shifted skew-Hermitian linear system, which is briefly called an α-SSS. Some convergence results are established and numerical experiments show that th...

    Angang Cui, Haiyang Li and Chengyi Zhang

    Journal of Inequalities and Applications 2016 2016:160

    Published on: 17 June 2016

  5. Research

    Several new inequalities for the minimum eigenvalue of M-matrices

    Several convergent sequences of the lower bounds for the minimum eigenvalue of M-matrices are given. It is proved that these sequences are monotone increasing and improve some existing results. Finally, numerical...

    Jianxing Zhao and Caili Sang

    Journal of Inequalities and Applications 2016 2016:119

    Published on: 14 April 2016