Haruo Yanai, Some generalized forms a least squares g-inverse, minimum norm g-inverse, and Moore-Penrose inverse matrices, Computational Statistics & Data Analysis. 10 (1990): 251-260.
has been cited by the following article:
TITLE: On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices
AUTHORS: Huasheng Zhang
KEYWORDS: Extreme Rank; g-Inverse; Least-Squares g-Inverse; Minimum Norm g-Inverse; Quaternion Matrix
JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.1 No.1, December 30, 2011
ABSTRACT: Through the real representations of quaternion matrices and matrix rank method, we give the expression of the real ma-trices in least-squares g-inverse and minimum norm g-inverse. From these formulas, we derive the extreme ranks of the real matrices. As applications, we establish necessary and sufficient conditions for some special least-squares g-inverse and minimum norm g-inverse.