摘要
A new cyclic pseudo-elimination(CPE,in brief)preconditioner,which combines the pseudoelimination(PE)technique and LU factorization together,is proposed for a kind of cyclic structured matrices.For the case of M-matrices,some theoretical results of convergence and estimation of the condition number are presented.Numerical experiments show that the CPE preconditioner performs the best with respect to the reduction of number of iterations.Moreover,it costs much less time than the ILUT and block Jacobi(BJ)preconditioners in a whole in all tested cases.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.61472462,11671049)
Science Challenge Project(Grant No.TZ2016002)
the CAEP Developing Fund of Science Technology(Grant No.CX20210021)。
