On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices

Huasheng Zhang
DOI: 10.4236/alamt.2011.11001                

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.

Keywords

Extreme Rank; g-Inverse; Least-Squares g-Inverse; Minimum Norm g-Inverse; Quaternion Matrix

Conflicts of Interest

The authors declare no conflicts of interest.

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