A modified Block IDR($s$) method for computing high accuracy solutions

抄録

In this paper, the difference between the residual and the true residual caused by the computation errors that arise in matrix multiplications for solutions generated by the Block IDR($s$) method is analyzed. Moreover, in order to reduce the difference between the residual and the true residual, a modified Block IDR($s$) method is proposed. Numerical experiments demonstrate that the difference under the proposed method is smaller than that of the conventional Block IDR($s$) method.