A Modification of Minimal Residual Iterative Method to Solve Linear Systems | Zendy

Xingping Sheng | Zendy; Youfeng Su | Zendy; Guoliang Chen | Zendy

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A Modification of Minimal Residual Iterative Method to Solve Linear Systems

Author(s) -

Xingping Sheng,

Youfeng Su,

Guoliang Chen

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/794589

Subject(s) - residual , projection (relational algebra) , algorithm , reduction (mathematics) , computer science , iterative method , mean squared prediction error , mathematics , geometry

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 projectiontechnique; moreover, the modification of which gives a better (at least the same) reduction of the residualerror than MR. In the end, a numerical example is given to demonstrate the reduction of the residualerror between the 1V-DSMR and MR

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