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<p>This paper mainly presents upper bounds for the singular values and unitarily invariant norms of the product of two complex matrices. The obtained bounds refine many celebrated results in the literature, such as the celebrated matrix arithmetic-geometric mean inequality and its variants.</p>

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Interpolated arithmetic-geometric matrix inequalities

  • 期刊论文

  • 发表日期：

    2026年4月30日

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  • Wasim Audeh,
  • Hamid Reza Moradi,
  • Mohammad Sababheh

摘要

This paper mainly presents upper bounds for the singular values and unitarily invariant norms of the product of two complex matrices. The obtained bounds refine many celebrated results in the literature, such as the celebrated matrix arithmetic-geometric mean inequality and its variants.