MEMORY EFFICIENT WDR (WAVELET DIFFERENCE REDUCTION) using INVERSE OF ECHELON FORM by EQUATION SOLVING?

This is an attempt to devise a memory efficient WDR (Wavelet Difference Reduction) algorithm by decomposing a matrix using customized Echelon algorithm and applying WDR on it in parts. The standard process of WDR algorithm requires the entire matrix to be available in RAM (random access memory) which might not be feasible always or for a longer duration till the entire matrix is encoded. This idea takes advantage of working on matrix in parts without having to partition the matrix in any predefined way. The encoded matrix can be reconstructed using symbolic computations by creating equations and solving them against decomposed matrices.