Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

3. Iterative Methods for solving the EigenValue Problem: Iterative Methods known for solving the eigenvalue problem are: Rayleigh Quotient Iteration: finds the eigenvector and eigenvalue pair closest ...

Abstract: The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial ...

Linear systems are the building blocks of countless real-world phenomena, from engineering to economics. This project explores the elegant methods used to solve these systems. The Gauss method is ...