A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension
A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension
复制标题
求解任意维分块三对角系的循环约简算法
DOI：
10.1137/0714048
复制
发表时间：
1977
影响因子：
2.9
通讯作者：
R. Sweet
中科院分区：
文献类型：
--
作者：
R. Sweet
给出了求解Poisson方程有限差分近似的循环奇偶约化算法的Buneman变型的推广。这种推广对系统的块大小n没有限制，并在$O(n^2\log_2n)$操作中计算解。
A generalization of the Buneman variant of cyclic odd–even reduction algorithm for solving finite difference approximations to Poisson’s equations is presented. This generalization places no restriction on the block size, n, of the system and computes the solution in $O(n^2 \log _2 n)$ operations.