| Krylov子空间算法研究 |
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| 引用本文： | 漆志鹏,江慎铭.Krylov子空间算法研究[J].南昌航空工业学院学报,2006,20(2):1-4. |
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| 作者姓名： | 漆志鹏 江慎铭 |
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| 作者单位： | 南昌航空工业学院,江西,南昌,330063;南昌航空工业学院,江西,南昌,330063 |
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| 摘 要： | Krylov子空间技术是基于投影方法的规划算法,如今已成为一类求解大规模线性问题的优秀算法,该算法采用正投影或斜投影在子空间产生迭代向量进行计算。同时,正确有效的预处理方法能加快迭代收敛。本文介绍了如何利用基于LU分解的GMRES(Generalized M in imum Residual)方法来求解大规模线性优化问题。
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| 关 键 词： | Krylov-子空间 投影法 GMRES 预处理 LU分解 |
| 文章编号： | 1001-4926(2006)02-0001-04 |
| 收稿时间： | 2006-04-12 |
| 修稿时间： | 2006年4月12日 |
Study of Krylov subspace algorithm |
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| QI Zhi-peng,JIANG Shen-ming.Study of Krylov subspace algorithm[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2006,20(2):1-4. |
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| Authors: | QI Zhi-peng JIANG Shen-ming |
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| Institution: | Nanchang Institute of Aeronautical Technology, Jiangxi 330063 ,china |
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| Abstract: | Krylov subspace methods are considered currently to be among the most important iterative techniques available for solving large-scale linear systems.These techniques are based on projection process,both orthogonal and oblique,onto Krylov subspaces.The efficient preconditioned methods will accelerate the convergence of the algorithm.This paper introduces how to solve large scale linear problems by GMRES based on LU factorizatinos. |
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| Keywords: | Krylov subspace projection methods GMRES preconditioned iterations LU factorizations |
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