A Hybrid Ordering Scheme for Efficient Sparse Cholesky Factorization
When applying Cholesky factorization method to solving sparse symmetric positive definite system Ax=b, two classes of ordering algorithms are widely used to reduce the amount of fill. In view of their respective advantages and disadvantages, a parallel hybrid ordering scheme is proposed, which is proved to be effective by both theoretical analysis and parallel implementation. It is noteworthy that the algorithm can not only find a good ordering efficiently, but also achieve the result of symbolic factorization simultaneously.
Cholesky factorization hybrid ordering nested dissection lexicographic ordering symbolic factorization
LuYao Zhenghua Wang Zongzhe Li Wei Cao YongxianWang
School of Computer Science, National University of Defense Technology, Changsha, China
国际会议
重庆
英文
140-143
2011-01-21(万方平台首次上网日期,不代表论文的发表时间)