The Convergence Analysis of the Multi-splitting SOR Iterative Method after Precondition

Precondition method is used to solve the large linear systemAx=b in this paper.Combined matrix iterative analysis and comparison theorem,it presents multi-splitting SOR iterative method and compares it with general precondition approach,then proves that the multi-splitting method can not only accelerate the convergence of SOR iterative method,but also surpass the general precondition SOR method.Finally,a numerical example is given.