Generalized Inverse Preservers of Hadamard Circulant Majorization

C. C. Hsu (), P. R. Raickwade () and K. C. Sivakumar ()
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P. R. Raickwade: Indian Institute of Technology Madras
K. C. Sivakumar: Indian Institute of Technology Madras

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 883-890

Abstract: Abstract 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.

Keywords: Hadamard majorization; Hadamard circulant majorization; Linear preserver; Generalized inverses; 15A09; 15A86 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00808-3

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