In this paper, we will be evaluating numerical methods for direct and iterative solvers of linear systems. From class we have discussed the various methods; Gauss elimination with pivoting techniques, ...

This repository contains implementations of the Jacobi iterative method in Python and C++, designed for solving systems of linear equations efficiently. The project demonstrates both serial and ...

In this paper we propose a new method for the iterative computation of a few of the extremal eigenvalues of a symmetric matrix and their associated eigenvectors. The method is based on an old and ...

The Jacobi iterative method is a method introduced by German mathematician Carl Gustav Jacob Jacobi in 1845 to solve diagonally dominant systems of linear equations by using an approximate value ...

With the development of high-speed networks and the multi-core processor technology, the cluster of workstation based on high-speed networks and multi-core processors is becoming the main platform for ...

Cyclic iterative methods of solving systems of linear equations are investigated with reference to necessary and sufficient conditions for convergence. A new and concise method of proof is given for ...