Gauss–Seidel method
Gauss–Seidel method 25 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia In numerical linear algebra , the Gauss–Seidel method , also known as the Liebmann method or the method of successive displacement , is an iterative method used to solve a system of linear equations . It is named after the German mathematicians Carl Friedrich Gauss and Philipp Ludwig von Seidel , and is similar to the Jacobi method . Though it can be applied to any matrix with non-zero elements on the diagonals, convergence is only guaranteed if the matrix is either strictly diagonally dominant , [1] or symmetric and positive definite . It was only mentioned in a private letter from Gauss to his student Gerling in 1823. [2] A publication was not delivered before 1874 by Seidel. [3] Description [ edit ] The Gauss–Seidel method is an itera...