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| Abstract |
IDR(s)-Residual Reduction (abbreviated as R2) method as an extension of IDR(s) method have been proposed by the authors. Due to IDR(s)-R2 method, a rich variety of preconditioning can be chosen in pla...ce of iteration matrix. In this article, we consider reduction of computational cost of IDR(s)-R2 method from the viewpoint of building of dense matrix P. Slim Double Dense and a variant of Slim Double Dense for matrix P are proposed. Through numerical experiments, we clarify that preconditioned IDR(s)-R2 method with the proposed structure of matrix P has preferable convergence stability.show more
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