On the Mathematical Transformation of Input-Output Matrices over Time or Space
A Ghosh · 1991
Abstract One feature of input output matrices is that if they are of the same order and have the same classification it may be possible to find a transformation between any two of them. If such a transformation can be related to the output vectors concerned by a scalar or a diagonal matrix, then the resulting transformation of the matrices can easily be computed and can be expressed in canonical form, and the implicit technological transformation that lies behind this transformation can be brought out clearly. The object of this chapter is to demonstrate some useful properties of input -output matrices of the same order, conceptualized as forming a group.