Rank and inertia of submatrices of the moore-penrose inverse of a hermitian matrix

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Abstract

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.

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APA

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

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