We introduce some iterative methods for solving the linear system $\boldsymbol{Ax}=\boldsymbol{b}$ in this chapter. Why do we need iterative methods? Reduce the cost ...

We cover three strategies of Classical Iterations: Jacobi, Gauss-Seidel and SOR(Successive Over-Relaxation) method. Task: Solve linear system $\boldsymbol{Ax ...

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where ...

Abstract: Resilience is an important research topic in HPC. As computer clusters go to extreme scales, work in this area is necessary to keep these machines reliable. In this work, we introduce a ...

Abstract: Iterative linear solvers are a crucial kernel in many numerical analysis problems. The performance and energy efficiency of iterative solvers based on traditional architectures are severely ...

Journal of Computational Mathematics, Vol. 26, No. 2 (March 2008), pp. 227-239 (13 pages) We discuss semiconvergence of the extrapolated iterative methods for solving singular linear systems. We ...

Abstract: Linear programming is a central problem in computer science and applied mathematics with numerous applications across a wide range of domains, including machine learning and data science.

Slack for questions about the course and student - led discussions (See Canvas for link) Note about email: Email should be used only for personal/individual matters, and even then it is better to come ...