|
|
二次特征值问题的并行Jacobi-Davidson方法及其应用
A PARALLEL JACOBI-DAVIDSON METHOD FOR SOLVING QUADRATIC EIGENVALUE PROBLEM AND ITS APPLICATION
查看参考文献8篇
|
文摘
|
给出了求解二次特征值问题多个特征对的一种并行Jacobi-Davidson方法,该方法在子空间中求解投影矩阵的二次特征值问题,利用校正方程的解扩充子空间,并以某型号机翼在结构动力分析中的二次特征值问题为例,在多处理机并行系统IBM-P650上进行了数值试验,试验结果表明该算法具有较高的加速比和并行效率. |
|
其他语种文摘
|
A parallel Jacobi-Davidson method is presented for computing a few of eigenpairs of quadratic eigenvalue problems.The method directly solves the quadratic eigenvalue problems in a projection subspace,and expands the subspace by the solution of the correction equation. The parallel implementation of the method is discussed,and a quadratic eigenvalue problem arising from structural dynamics analysis of a plane wing is solved by the method on the parallel computer IBM-P650.The numerical experiments show that the parallel Jacobi- Davidson method is very effective. |
|
来源
|
数值计算与计算机应用
,2008,29(4):313-320 【核心库】
|
|
关键词
|
二次特征值问题
;
Jacobi-Davidson方法
;
并行计算
;
IBM-P650
|
|
地址
|
南京航空航天大学理学院, 江苏, 南京, 210016
|
|
语种
|
中文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1000-3266 |
|
学科
|
数学 |
|
文献收藏号
|
CSCD:3427083
|
参考文献 共
8
共1页
|
|
1.
Sleijpen G L G. A Jacobi-Davidson iteration method for linear eigenvalue problems.
SIAM J. Matrix Anal. Appl.,1996,17(2):401-425
|
被引
26
次
|
|
|
|
|
2.
Sleijpen G L G. Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems.
Bit,1996,36(3):595-633
|
被引
10
次
|
|
|
|
|
3.
Betcke T. A Jacobi-Davidson-type projection method for nonlinear eigenvalue problems.
Future Generation Computer Systems,2004,20(3):363-372
|
被引
6
次
|
|
|
|
|
4.
Meerbergen K. Locking and restarting quadratic eigenvalue solvers.
SIAM J. Sci. Comput.,2001,22(5):1814-1839
|
被引
2
次
|
|
|
|
|
5.
Stathopoulos A. A parallel, block, Jacobi-Davidson implementation for solving large eigenvalueproblems on coarse grain environments.
proceedings of the 1999 International Conference on Parallel and Distributed Processing Techniques and Applications,1999:2920-2926
|
被引
1
次
|
|
|
|
|
6.
贾仲孝. 精化的二次残量迭代法.
高等学校计算数学学报,2004,26(2):146-155
|
被引
4
次
|
|
|
|
|
7.
IBM Corp.
User's Guide of IBM XL Fortran. version 8. 1,2003
|
被引
1
次
|
|
|
|
|
8.
Gropp W.
MPICH2 User's Guide. version 1. 0. 5,2006
|
被引
1
次
|
|
|
|
|
|
了解气象卫星更多信息，请访问