摘要
针对求解大型稀疏非对称线性方程组,研究了大规模稀疏线性方程组的预条件迭代求解算法.结合Krylov子空间方法和Jacobi迭代,给出了一个新的求解算法,即预处理雅可比-双共轭残量法(简称JBICR),同时给出了算法的收敛性分析.数值实验显示了算法的快速收敛性.
In this paper, the preconditioning iterative method of large sparse linear systems has been considered for large spare linear systems with unsymmetrical coefficient matrices. Combining Krylov subspace methods with Jacobi iteration, a new algorithm of the preconditioning Jaeobi- biconjngate residual algorithm ( JBICR , in brief) has been proposed. Meanwhile, the convergence analysis has been presented. The numerical experiments showed that the new algorithm exhibited fast convergence performance.
出处
《福建师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2018年第2期12-15,共4页
Journal of Fujian Normal University:Natural Science Edition
基金
福建省自然科学基金资助项目(2014J01006)