Description

The text focuses on visualization of a Square, Complex Matrix as an “Onion” and its associated peel structured is described in terms of introduced abstract mathematical entities such as Matrix Shells, Composite Pathways, Basic Pathways and Directional States.

The present formalism leads to association, in a nonlinear manner, of a square complex matrix with a tremendously large number of Real, Symmetric Matrices of order 12 (termed as the State-Interaction Matrices) sharing intricate interrelationships. This alternate way of visualizing a square matrix can provide new insights into the structural intricacies of matrix arrays and their implications on associated matrix properties of theoretical and/computational interest.