| 求解线性方程组的加权GMRES-DR算法 |
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| 引用本文： | 吴忠安,;孟静,;罗卫华.求解线性方程组的加权GMRES-DR算法[J].内江师范学院学报,2014(8):12-15. |
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| 作者姓名： | 吴忠安 ;孟静 ;罗卫华 |
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| 作者单位： | [1]泰山护理职业学院护理部,山东泰安271000; [2]电子科技大学数学科学学院,成都611731 |
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| 基金项目： | 电子科技大学优秀博士生学术支持计划资助项目（YBXSZC20131070） |
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| 摘 要： | 在分析GMRES-DR的基础上,将加权技术和GMRES-DR算法结合,从而加快GMRES-DR算法的收敛速度,并从理论上证明了加权GMRES-DR算法的每次循环生成仍是Krylov子空间,此外数值试验验证了该算法的有效性.
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| 关 键 词： | 线性方程组 加权技术 GMRES-DR |
A Weighted GMRES-DR Algorithm for the Linear System of Equations |
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| Institution: | WU Zhong-an, MENG Jing, LUO Wei-hua(1. Department of Nursing, Department of Nurdinh, Taishan Vocational College of Nursing, Taian, Shandong 271000, China; 2. School of Mathematics Sicence, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China) |
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| Abstract: | The GMRES-DR method is an efficient iterative method for the solution of equation sets with large-scale sparse non-symmetric matrix.Based on the analysis of GMRES-DR,in combination with the weighted technology,the velocity of convergence of the GMRES-DR algorithm is accelerated,and it is proven theoretically that the circulatory generations each time of the weighted GMRES-DR algorithm are still Krylov sub-spaces and the numerical experimentation proves the validity of the said algorithm. |
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| Keywords: | Weighted GMRES Krylov subspace the weighted technology |
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