In this chapter we discuss the original aspects of this research work. Different theories and issues that lead to the development of the numerical method for multiple eigenvalue perturbation calculations are summarized. While developing the multiple perturbation technique, we investigated two fission matrix algorithms for eigenvalue problems. The significance of parallel computers for Monte Carlo particle transport algorithms is discussed. Finally, we provide some suggestions for further research topics. Some of these research topics would give more insights into the method developed here, while others would extend and apply the ideas developed in this work to different related problems of interest.