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<p>Let <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13226_2025_808_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="103" /> </InlineMediaObject> <EquationSource Format="TEX">\(T:M_n\rightarrow M_n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mo>:</mo> <msub> <mi>M</mi> <mi>n</mi> </msub> <mo stretchy="false">→</mo> <msub> <mi>M</mi> <mi>n</mi> </msub> </mrow> </math></EquationSource> </InlineEquation> preserve Hadamard circulant majorization. In this note, we show that this property is inherited by the three most popular generalized inverses, viz. the Moore-Penrose inverse, the group inverse and the Drazin inverse.</p>

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Generalized Inverse Preservers of Hadamard Circulant Majorization

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • C. C. Hsu,
  • P. R. Raickwade,
  • K. C. Sivakumar

摘要

Let \(T:M_n\rightarrow M_n\) T : M n → M n preserve Hadamard circulant majorization. In this note, we show that this property is inherited by the three most popular generalized inverses, viz. the Moore-Penrose inverse, the group inverse and the Drazin inverse.