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Y. Tian, More on maximal and minimal ranks of Schur complements with appli-cations, Applied Mathematics and Computation. 152 (2004): 675-692.

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.