Research article Special Issues

Notes on the generalized Perron complements involving inverse $ {{N}_{0}} $-matrices

  • Received: 15 May 2024 Revised: 22 June 2024 Accepted: 03 July 2024 Published: 16 July 2024
  • MSC : 15A47, 15A48, 15A57

  • In the context of inverse $ {{N}_{0}} $-matrices, this study focuses on the closure of generalized Perron complements by utilizing the characteristics of $ M $-matrices, nonnegative matrices, and inverse $ {{N}_{0}} $-matrices. In particular, we illustrate that the inverse $ {{N}_{0}} $-matrix and its Perron complement matrix possess the same spectral radius. Furthermore, we present certain general inequalities concerning generalized Perron complements, Perron complements, and submatrices of inverse $ {{N}_{0}} $-matrices. Finally, we provide specific examples to verify our findings.

    Citation: Qin Zhong, Ling Li. Notes on the generalized Perron complements involving inverse $ {{N}_{0}} $-matrices[J]. AIMS Mathematics, 2024, 9(8): 22130-22145. doi: 10.3934/math.20241076

    Related Papers:

  • In the context of inverse $ {{N}_{0}} $-matrices, this study focuses on the closure of generalized Perron complements by utilizing the characteristics of $ M $-matrices, nonnegative matrices, and inverse $ {{N}_{0}} $-matrices. In particular, we illustrate that the inverse $ {{N}_{0}} $-matrix and its Perron complement matrix possess the same spectral radius. Furthermore, we present certain general inequalities concerning generalized Perron complements, Perron complements, and submatrices of inverse $ {{N}_{0}} $-matrices. Finally, we provide specific examples to verify our findings.



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