【摘要】 目前,在大多数有关数值计算的书籍中,编者都只是简单地对Jacobi等3种迭代法的迭代公式与收敛性进行说明,让人感觉不到迭代法的重要性.因为,只对具备收敛条件的方程组进行讲解,不仅会减少经典公式的适应范围,也把直接法与迭代法从理论上分割开,缺乏知识的连贯性.而如果在Gauss消去法中加入列选主元的思想,则能进一步地扩大Jacobi等迭代法的使用范围.更多还原

【Abstract】 In most books on Numerical Analysis,explanation on the formula and convergence of three iterative methods is so simple that people cannot perceive the importance of iterative methods.Explanation confined to the equations which are capable of fulfilling convergence conditions not only reduce the application scope of the classical formula but also divide the iterative method from the direct method,resulting a cleft in knowledge.The author believes that if Gauss elimination method is supplemented with the idea of column pivot element,the application scope of Jacobi Iteration can be further enlarged.更多还原