【摘要】 从解线性方程组迭代法入手,提出了两个迭代法的基本几何过程,揭示了著名的Jacobi迭代法、Gauss-Seidel迭代法和SOR方法等迭代法的几何实质、重新认识了这些经典的迭代过程,同时揭示了解线性方程组的克兰姆法则与迭代法的关系.同时从几何出发设计了一种解线性方程组的迭代方法.更多还原

【Abstract】 Starting with the iterative method for solving linear equations, this paper puts forward the basic geometric processes of two iterative methods, reveals the geometric essence of the famous Jacobi iterative method, Gauss Seidel iterative method and SOR iterative method, reveals the relationship between Cramer’s law and iterative method for solving linear equations, and an new iterative method is designed to solve linear equations.更多还原