A proposal of Modified S(Stabilized) CRS method based on residual vector of BiCR method(Algorithms for Matrix/Eigenvalue Problems and their Applications, <Special Issue> Joint Symposium of JSIAM Activity Groups 2007)

Abstract

It is known that SCGS method has stability of convergence as compared with the conventional CGS method. However, the amount of computational costs per single iteration of the SCGS method is fairly increased. On the other hand, product type of BiCR iterative method whose residual vector is based on that of the original BiCR method was recently proposed. In this paper, we propose two types of the CRS method, i.e., S(Stabilized) CRS and M(Modified) SCRS methods. Through numerical experiments, we verify stability of convergence and efficiency of these iterative methods.