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