Generation of Kifilideen’s Generalized Matrix Progression Sequence of Infinite Term

Considering a cluster of different hierarchical order with various barrier or cadre levels and steps within levels, there is no availability of a structural framework to help exclusively analyze, formulate, identify, differentiate, and design standardized provisional values to cluster members at various barrier levels and steps within levels. This study designs stepwise analysis, generation, and applications of Kifilideen’s Matrix Structural Framework for an infinite term of increasing members of successive levels with the first level having one member of Kifilideen’s Generalized Matrix Progression Sequence. The values of members of the cluster were designed and developed for Kifilideen’s Generalized Matrix Progression Sequence of the infinite term of increasing members of successive levels with the first level having one member and Kifilideen’s Structural Framework was generated for the clusters of such sequence. This Kifilideen’s Matrix Structural Framework also helps to generate Kifilideen’s formulas to identify members and assign values and grades of values to each member within and across levels of Kifilideen’s Matrix Structural Framework. Applications of Kifilideen’s formulas established for Kifilideen’s Generalized Matrix Progression Sequence of the infinite term was carried out. Kifilideen’s Matrix Structural Framework generated some help to exclusively differentiate varying members in the clusters into various levels and steps within levels.