摘要
提出了3次收敛的循环约化算法来求解一类来自于过阻尼系统的二次矩阵方程,讨论了算法的收敛性及其在临界状态下以常数1/3线性收敛的性质.数值试验验证了本文的结果.
The quadratic matrix equation arising from the overdamped system was considered.A cyclic reduction algorithm with cubical convergence was developed to solve the equation.In the critical case of overdamped system,the algorithm was shown to be linearly convergent with constant at worst 1/3.Numerical experiments confirmed the convergence of the proposed algorithm.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2010年第7期82-85,共4页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(10771057)
教育部重大资助项目(309023)
关键词
收敛
过阻尼系统
循环约化算法
临界状态
convergence
overdamped system
cyclic reduction
the critical case
