A Modification of Minimal Residual Iterative Method to Solve Linear Systems

作者:Sheng Xingping; Su Youfeng; Chen Guoliang*
来源:Mathematical Problems in Engineering, 2009, 2009: 794589.
DOI:10.1155/2009/794589

摘要

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.