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| 特殊USAOR迭代法的收敛性研究 | |
| 引用本文： | 葛媛媛,畅大为,郭煜,熊劲松.特殊USAOR迭代法的收敛性研究[J].纺织高校基础科学学报,2012,25(3):361-365. |
| 作者姓名： | 葛媛媛 畅大为 郭煜 熊劲松 |
| 作者单位： | 1. 陕西师范大学 数学与信息科学学院,陕西 西安,710062 2. 陕西邮电职业技术学院 基础部,陕西 咸阳,712000 3. 榕江县第一中学,贵州 榕江,557200 |
| 基金项目： | 国家自然科学基金资助项目(60671063) |
| 摘 要： | 当线性方程组Ax=b的系数矩阵A为（q,r）=（2,1）相容次序矩阵时,分别讨论当ω2=γ2=1和ω1=γ1=1时,USAOR方法收敛的充分必要条件,并在合理的假设下得到了USAOR方法收敛的最优参数和最优谱半径. |
| 关 键 词： | USAOR迭代法 相容次序矩阵 最优参数 最优谱半径 |
Research on the convergence of special iterative method for USAOR |
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| GE Yuan-yuan , CHANG Da-wei , GUO Yu , XIONG Jin-song.Research on the convergence of special iterative method for USAOR[J].Basic Sciences Journal of Textile Universities,2012,25(3):361-365. | |
| Authors: | GE Yuan-yuan CHANG Da-wei GUO Yu XIONG Jin-song |
| Affiliation: | 1.College of Mathematics and Information Sciences,Shaanxi Normal University,Xi′an 710062,China; 2.Department of Basic Courses,Shaanxi Post and Telecommunication College,Xiangyang,Shaanxi 712000,China; 3.Rongjiang Frist Senior Middle School,Rongjiang,Guizhou 557200,China) |
| Abstract: | With the algebra,the necessary and sufficient condition for the convergence of the USAOR method as ω2=γ2=1 and ω1=γ1=1 are discussed for solving the linear system Ax=b with(q,r)=(2,1) consistently ordered matrix.Finally,the optimum parameter and the most superior spectrum radius are obtained under certain condions. |
| Keywords: | USAOR iterative method consistently ordered matrix the optimum parameter the most superior spectrum radius |
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