The present article extends the formalism proposed in [2] and presents a framework for mapping from subsets of the complex Matrix space ( ) M C m n characterized by a set of Global Mass and Global Alignment factor, denoted as M r c , to the subset of the Matrix space M C J J , where J 2 , of all Hermitian, unit trace, positive definite and positive semi definite matrices of order J, denoted as J J S M C . The article presents the Mathematical formalism and illustrates the same with suitable numerical example

Keywords : Global Mass Factor of a Matrix, Global Alignment Factor of a Matrix, Effective Global Mass Factor of a Matrix, Hermitian Matrices, Positive Definite Matrices, Positive Semi definite Matrices.