一种非线性代数方程组的迭代解法。最早用于解算电力系统潮流。这种方法具有程序编制简单、占用内存少的优点，但算法收敛性差，计算时间长。-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 linear system of 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 diagonally dominant, or symmetric and positive definite. It was only mentioned in a private letter　Gauss to his student Gerling in 1823.[1] A publication was not delivered before 1874 by Seidel.