On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices ()
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.
Share and Cite:
H. 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.