Article citationsMore>>

C.E. Moxey, S.J. Sangwine, and T.A. Ell, Hypercomplex Correlation Techniques for Vector Images, IEEE Transactions on Signal Processing 51 (7) (2003): 1941-1953.

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.