Inexact DMPMHSS Iteration Method For Complex Symmetric Linear Systems

Based on the double modified PMHSS(DMPMHSS)iteration method for the complex symmetric linear system,inexact DMPMHSS(IDMPMHSS)iteration method and is proposed in this paper,the iterative matrix and spectral radius of the method are also given.In the inner iteration processes,we employ the conjugate gradient(CG)method to solve the sub-systems of linear equations with coefficient matrix which is symmetric semidefinite.The asymptotic convergence factor of the IDMPMHSS(CG)iteration tends to the convergence factor of the DMPMHSS with the increasing of inner CG step.Our numerical experiments show that it,reduces the CPU time and iteration steps effectively when solving large sparse complex symmetric linear system.