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.
Cite this paper
nullH. Zhang, "On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices," Advances in Linear Algebra & Matrix Theory, Vol. 1 No. 1, 2011, pp. 1-7. doi: 10.4236/alamt.2011.11001.
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