MINRES Seed Projection Methods for Solving Symmetric Linear Systems with Multiple Right-Hand Sides

被引：1
作者：
Li, Xin [1 ]
Liu, Hao [2 ]
Zhu, Jingfu [3 ]
机构：
[1] Heilongjiang Bayi Agr Univ, Coll Sci, Daqing 163319, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Jiangsu, Peoples R China
[3] Heilongjiang Bayi Agr Univ, Coll Informat Technol, Daqing 163319, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
关键词：
CONJUGATE-GRADIENT ALGORITHM; GMRES;
D O I：
10.1155/2014/357874
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider the MINRES seed projection method for solving multiple right-hand side linear systems AX - B, where A is an element of R-nxn is a nonsingular symmetric matrix,B is an element of R-nxp. In general, GMRES seed projection method is one of the effective methods for solving multiple right-hand side linear systems. However, when the coefficient matrix is symmetric, the efficiency of this method would be weak. MINRES seed projection method for solving symmetric systems with multiple right-hand sides is proposed in this paper, and the residual estimation is analyzed. The numerical examples show the efficiency of this method.
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页数：6
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