<p>The first objective of this manuscript is to characterize the non-negativity of the Moore-Penrose inverse of a real matrix in terms of the spectral properties of matrix splittings. The second objective is to derive some comparison results for the spectral radii of matrices with proper regular splittings.</p>

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On characterization of nonnegativity of the Moore-Penrose inverse of Matrices, and comparison results with proper Regular splittings

  • Machara Verriyya Chikkam,
  • Kurmayya T

摘要

The first objective of this manuscript is to characterize the non-negativity of the Moore-Penrose inverse of a real matrix in terms of the spectral properties of matrix splittings. The second objective is to derive some comparison results for the spectral radii of matrices with proper regular splittings.