English

Generalized Inverse Preservers of Hadamard Circulant Majorization

General Mathematics 2024-12-09 v1

Abstract

Let T ⁣:MnMnT\colon M_n\rightarrow 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

Cite

@article{arxiv.2412.04519,
  title  = {Generalized Inverse Preservers of Hadamard Circulant Majorization},
  author = {C. C. Hsu and P. R. Raickwade and K. C. Sivakumar},
  journal= {arXiv preprint arXiv:2412.04519},
  year   = {2024}
}