Application of MRTR method for solving complex symmetric linear systems

被引：1
|
作者：
Shiode, Akira [1 ]
Abe, Kuniyoshi [2 ]
Fujino, Seiji [3 ]
机构：
[1] Kyushu Univ, Grad Sch Informat Sci & Elect Engn, Fukuoka 812, Japan
[2] Gifu Shotoku Gakuen Univ, Dept Econ & Infomat, Gifu, Japan
[3] Kyushu Univ, Comp & Commun Ctr, Fukuoka, Japan
来源：
SYSTEMS MODELING AND SIMULATION: THEORY AND APPLICATIONS, ASIA SIMULATION CONFERENCE 2006 | 2007年
关键词：
cs-MRTR method; singular systems; minimum residual norm;
D O I：
10.1007/978-4-431-49022-7_22
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The MRTR method has been recognized as an effective iterative method for singular systems of linear equations. The MRTR method is based oil the three-term recurrence formula of the CG method and the algorithm is proven to be mathematically equivalent to the CR method. This paper will describe the algorithm of the cs_MRTR method for solving complex symmetric linear systems, and prove that this method is mathematically equivalent to the COCR method. Numerical experiments indicate that the cs_MRTR method convergences more stably compared with the COCR method.
引用
收藏
页码：108 / +
页数：2
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