| PCG法的理论解释及在结构分析中的应用 |
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| 引用本文： | 李秀梅,吴锋,黄哲华. PCG法的理论解释及在结构分析中的应用[J]. 广西大学学报(自然科学版), 2009, 34(4) |
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| 作者姓名： | 李秀梅 吴锋 黄哲华 |
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| 作者单位： | 广西大学土木建筑工程学院,广西南宁,530004;广西大学土木建筑工程学院,广西南宁,530004;广西大学土木建筑工程学院,广西南宁,530004 |
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| 基金项目： | 广西科学研究与技术开发项目 |
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| 摘 要： | 以雅可比共轭梯度法为例,根据盖尔定理,从理论上证明了预处理共轭梯度法在一定条件下会加速,并给出了加速条件.通过预处理技术导出大型稀疏矩阵广义特征值问题求解的一种新加速方法,可提高计算的效率和稳定性.算例结果表明,对于求解大型稀疏线性方程组问题,预处理共轭梯度法及本文特征值新加速方法较传统方法更有优势.
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| 关 键 词： | PCG法 理论解释 结构分析 预处理技术 |
Theoretical explanation for PCG method and its application in structural analysis |
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| LI Xiu-mei,WU Feng,HUANG Zhe-hua. Theoretical explanation for PCG method and its application in structural analysis[J]. Journal of Guangxi University(Natural Science Edition), 2009, 34(4) |
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| Authors: | LI Xiu-mei WU Feng HUANG Zhe-hua |
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| Affiliation: | Colbge of Civil and Architecture Engineering;Guangxi University;Nanning 530004;China |
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| Abstract: | Taking Jacobi preconditioned conjugate gradient(JPCG) method as an example,according to Gale theorem,it is theoretically proved that precondition conjugate gradient(PCG) method can improve the speed of calculation under certain condition,and the acceleration condition of pretreatment is given.At last,a new acceleration method for solving generalized eigenvalue of large sparse matrixes is presented by means of pretreatment technique,which can increase the efficiency and stability of the calculation.Numerical... |
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| Keywords: | PCG method theoretical explanation structural analysis preconditioning technique |
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