| 陀螺特征值问题的并行子空间迭代法 |
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| 引用本文： | 王顺绪.陀螺特征值问题的并行子空间迭代法[J].高等学校计算数学学报,2010,32(2). |
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| 作者姓名： | 王顺绪 |
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| 作者单位： | 淮海工学院理学院,连云港,222005 |
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| 摘 要： | <正>1引言陀螺系统特征值问题是转子动力学中的基本问题,是一类特殊的二次特征值问题.假设M和K是n阶对称矩阵,C是n阶反对称矩阵,则二次特征值问题(λ~2M+λC+K)x=0(1)
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| 关 键 词： | 子空间迭代法 并行程序 矩阵广义特征值问题 特征向量 加速比 次特征值 并行效率 陀螺特征值问题 并行计算机 |
THE PARALLEL SUBSPACE ITERATIVE METHOD FOR EIGENVALUE PROBLEM OF GYROSCOPIC SYSTEMS |
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| Wang Shunxu.THE PARALLEL SUBSPACE ITERATIVE METHOD FOR EIGENVALUE PROBLEM OF GYROSCOPIC SYSTEMS[J].Numerical Mathematics A Journal of Chinese Universities,2010,32(2). |
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| Authors: | Wang Shunxu |
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| Institution: | Wang Shunxu (School of Science,Huai Hai Institute of Technology,Lianyungang 222005) |
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| Abstract: | In this paper,the eigenvalue problem of gyroscopic systems is considered. The quadratic eigenvalue problem is transformed to the generalized eigenvalue problem of symmetric matrices,and then a parallel subspace iterative method is presented for solving the problem.Using the structure property of the problem,we reduce the order of the matrices to one of the original problem and analysis the parallel characteristics.The numerical results in IBM-P650 and multi-core computer show the effectiveness of the parall... |
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| Keywords: | quadratic eigenvalue problem gyroscopic system subspace iterative method parallel computing multi-core computing |
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