Copyright © 2009 Xingping Sheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We give a modification of minimal residual iteration (MR), which is 1V-DSMR to solve the linear system . By analyzing, we find the modifiable iteration to be a projection
technique; moreover, the modification of which gives a better (at least the same) reduction of the residual
error than MR. In the end, a numerical example is given to demonstrate the reduction of the residual
error between the 1V-DSMR and MR.