摘要
提出了一种新的预条件矩阵Pα=(I+Kα),并讨论了该预条件下Jacobi迭代法的收敛性,得到了比较性定理,揭示了预条件Jacobi迭代法的收敛速度和参数之间的关系。最后给出数值例子验证了该预条件迭代格式优于通常的预条件法。
A new preconditioned matrix Pα=（I＋Kα） is proposed,and the preconditioned Jacobi iterative method is discussed. Some comparison theorems are obtained,and the relation between the convergence rate of preconditioned Jacobi iterative method and the parameters is brought to light. Finally a numerical example is given to show that the precondition is superior the usual preconditions method.
出处
《科学技术与工程》
2010年第32期7875-7877,共3页
Science Technology and Engineering
基金
辽宁省教育厅高校科研项目(2009T062)资助
