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

Through the real representations of quaternion matrices and matrix rank method, we give the expression of the real matrices 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.