陀螺特征值问题的并行子空间迭代法  

THE PARALLEL SUBSPACE ITERATIVE METHOD FOR EIGENVALUE PROBLEM OF GYROSCOPIC SYSTEMS

作　　者：王顺绪[1] 

机构地区：[1]淮海工学院理学院,连云港222005

出　　处：《高等学校计算数学学报》2010年第2期179-184,共6页Numerical Mathematics A Journal of Chinese Universities

摘　　要：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)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...

关 键 词：quadratic eigenvalue problem gyroscopic system subspace iterative method parallel computing multi-core computing 

分 类 号：O241.7[理学—计算数学]