A Modification of Minimal Residual Iterative Method to Solve Linear Systems

Abstract EN

We give a modification of minimal residual iteration (MR), which is 1V-DSMR to solve the linear system Ax=b.

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.