多核环境下非线性特征值问题残量反迭代法并行计算  

Parallel Algorithm for Inverse Residual of Nonlinear Eigenvalue Problems Based on Multi-core Computing System Environment

作　　者：王顺绪[1] 

机构地区：[1]淮海工学院理学院,江苏连云港222005

出　　处：《淮海工学院学报（自然科学版）》2013年第1期1-4,共4页Journal of Huaihai Institute of Technology:Natural Sciences Edition

基　　金：江苏省高校自然科学研究项目(12KJD110001)

摘　　要：非线性特征值问题不满足Schur类分解的结论,因此线性特征值问题的很多数值方法不能直接推广到非线性问题.基于多核并行环境的非线性特征值问题数值解法的并行计算,给出了适合于多核并行环境的并行Newton类残量反迭代算法,在多核计算环境上使用Intel Fortran+OpenMP进行了数值试验.数值试验结果表明算法具有较高的加速比和并行效率.For the reason that nonlinear eigenvalue problems do not meet the requirements of Schur faetorization（algorithm）, a lot of the existing numerical methods for linear eigenvalue problems cannot be directly extended to nonlinear cases. The numerical methods for nonlinear ei- genvalue problems using parallel computation are studied under the multi-core computing system environment in this paper. The Newton-type parallel inverse residual iteration method （NPIM） is proposed, which agrees with the multi-core parallel system environment. Numerical experiments are performed with Intel Fortran and OpenMP in the multi-core platform. The results show that NPIM has reasonable speedup and parallel efficiency.

关 键 词：非线性特征值问题 多核计算 OPENMP 

分 类 号：O246[理学—计算数学] TP338[理学—数学]