Closed-form formulas are derived for the rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix. A variety of consequences on the nonsingularity, nullity and definiteness of the submatrices are also presented.
CITATION STYLE
Tian, Y. (2010). Rank and inertia of submatrices of the moore-penrose inverse of a hermitian matrix. Electronic Journal of Linear Algebra, 20, 226–240. https://doi.org/10.13001/1081-3810.1370
Mendeley helps you to discover research relevant for your work.