Abstract: In this paper, the
canonical correlation decomposition of quaternion matrices (CCD-Q) is
established. Based on the CCD-Q, GSVD-Q and the projection theorem in the finite
dimensional inner product space, the least squares solution of quaternion matrix
equation with the least norm is derived.
Keywords and phrases: quaternion matrix equation, least squares solution, least norm, GSVD-Q, CCD-Q.
