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

作　　者：王顺绪[1,2] 戴华[1] 

机构地区：[1]南京航空航天大学理学院,南京210016 [2]淮海工学院数理系,江苏连云港222005

出　　处：《数值计算与计算机应用》2008年第4期313-320,共8页Journal on Numerical Methods and Computer Applications

摘　　要：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.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.

关 键 词：二次特征值问题 Jacobi—Davidson方法 并行计算 IBM-P650 

分 类 号：O241.6[理学—计算数学] O24[理学—数学]