L-矩阵的一类新预条件迭代方法

A new type of preconditioned iterative method for L-matrices

在Evans等人提出的预条件AOR迭代法的基础上考虑一种新的预条件方法,并将其应用于AOR和2PP J(即双参数并行Jacob i迭代法)迭代格式中,该方法不但适用范围较原方法更为广泛,即对一般的L-矩阵均适用,而且也可提高迭代的收敛速度,甚至使一些发散的迭代格式收敛.

A new preconditioned iterative method is given after studying that of Evans. It is applied into AOR method and 2PPJ method and the result that the suitable range of the new method is larger than that of the old one is obtained, that is to say, our method is suitable for the most of L-matrices. And also the speed of the convergence is improved, even that some divergent iterative matrices become the convergent iterative matrices after applying the new preconditioned method into them.