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<p>This paper develops new theoretical estimates for the spectral radius of a class of matrix operations formed through element-wise products and power operations. We present two innovative upper bounds that apply to products of powered nonnegative matrices. These results significantly improve upon existing estimates in the literature, offering both broader applicability and enhanced precision. Finally, we provide several numerical examples to demonstrate the effectiveness of the proposed bounds, revealing their improvements over prior estimates.</p>

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Spectral radius inequalities for generalized Hadamard products of exponentiated nonnegative matrices

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月29日

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  • Qin Zhong,
  • Gufang Mou

摘要

This paper develops new theoretical estimates for the spectral radius of a class of matrix operations formed through element-wise products and power operations. We present two innovative upper bounds that apply to products of powered nonnegative matrices. These results significantly improve upon existing estimates in the literature, offering both broader applicability and enhanced precision. Finally, we provide several numerical examples to demonstrate the effectiveness of the proposed bounds, revealing their improvements over prior estimates.