Jacobi method
Jacobian method or Jacobi method is one the iterative methods for approximating the solution of a system of n linear equations in n variables. The Jacobi iterative method is considered as an iterative algorithm which is used for determining the solutions for the system of linear equations in numerical linear algebra , which is diagonally dominant. In this method, an approximate value is filled in for each diagonal element. Until it converges, the process is iterated. This algorithm was first called the Jacobi transformation process of matrix diagonalization. Jacobi Method is also known as the simultaneous displacement method. Jacobi Iterative Method The first iterative technique is called the Jacobi method, named after Carl Gustav Jacob Jacobi (1804–1851) to solve the system of linear equations. This method makes two assumptions: Assumption 1: The given system of equations has a unique solution. Assumption 2: The coefficient matrix A has no zer...