• Corpus ID: 119278877

A new expression for the Moore-Penrose inverse of a class of matrices

@article{Xu2016ANE,
  title={A new expression for the Moore-Penrose inverse of a class of matrices},
  author={Xuefeng Xu},
  journal={arXiv: Numerical Analysis},
  year={2016}
}
  • Xuefeng Xu
  • Published 4 December 2016
  • Mathematics
  • arXiv: Numerical Analysis
An expression for the Moore-Penrose inverse of a matrix of the form M = XNY , where X and Y are nonsingular, has been recently established by Castro-Gonz\'alez et al. [1, Theorem 2.2]. The expression plays an essential role in developing explicit expressions for the Moore-Penrose inverse of a two-by-two block matrix. In this paper, we present a new expression for the Moore-Penrose inverse of this class of matrices, which improves the result in [1].