The article presents an iterative scheme for evolution on M(r,c) subsets of the complex matrix spaces ( ) M C m n , where m≠n. The presented scheme involves separate conservation of the ‘r’ parameter and the ‘c’ parameter at each iteration step. The mathematical formalism is presented and illustrated with appropriate numerical examples.

Keywords : Global Mass Factor of a Matrix, Global Alignment Factor of a Matrix, M(r,c) Subsets of the Complex Matrix Spaces, Discrete Dynamical Systems, Markov Matrix, Hadamard Product of Matrices