On symmetric and skew-symmetric solutions to a procrustes problem

Abstract

Using the projection theorem in a Hilbert space, the quotient singular value decomposition (QSVD) and the canonical correlation decomposition (CCD) in matrix theory for efficient tools, we obtained the explicit analytical expressions of the optimal approximation solutions for the symmetric and skew-symmetric least-squares problems of the linear matrix equation . This can lead to new algorithms to solve such problems. © 2011 Springer Science+Business Media B.V.