Web Reference: solve linear systems using Jacobi’s method, solve linear systems using the Gauss-Seidel method, and solve linear systems using general iterative methods. For small linear systems direct methods are often as eficient (or even more eficient) than the iterative methods to be discussed today. In numerical linear algebra, the Jacobi method (a.k.a. the Jacobi iteration method) is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Nov 1, 2025 · In this paper, we introduce a new iterative hybrid method to find the solution of linear algebraic systems based on the Gauss–Jacobi and Gauss–Seidel methods, named Jacobi–Seidel Parallel Iterative Method, JASPIoM for short.
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