4.3 Article

Some inequalities on the spectral radius of matrices

Journal

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13660-017-1598-2

Keywords

spectral radius; nonnegative matrix; Hadamard product

Funding

  1. Natural Science Foundation of Shandong Province [ZR2017MA050]
  2. Natural Science Foundation of Zhejiang Province [LY14A010007]
  3. Ningbo Natural Science Foundation [2015A610173]

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Let A(1), A(2),..., A(k) be nonnegative matrices. In this paper, some upper bounds for the spectral radius rho(A(1) circle A(2)circle ... circle A(k)) are proposed. These bounds generalize someexisting results, and comparisons between these bounds are also considered.

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