Contributor
Prasanth Duvvuri

Matrix Exponentials


Mentors
Lydia Duncan, Garvit Dewan, Nikhil Padmanabhan, Engin Kayraklioglu
Organization
Chapel

Matrix Exponentials are used in solving systems of linear differential equations. It is also widely used in Quantum Mechanics (Schrodinger's equation: Describes how a quantum particle behaves) and Control Theory. I had a chance to go through the “Scaling and Squaring Algorithm” for matrix exponentiation. In this paper, The technique to calculate the "pade estimate" to categorize which "pade value" to be used for optimization has interested me to pursue this project. I also hope to understand and achieve the parallelization of the current task for efficient computation of matrix exponential and be challenged by the intricacies of Chapel.