求解广义周期Sylvester矩阵方程的有限步收敛算法
Finite Algorithm for the Generalized Periodic Sylvester Matrix Equation
孙敏 1王硼博 1孙肖丽1
作者信息
- 1. 枣庄学院 数学与统计学院,山东 枣庄 277160
- 折叠
摘要
提出求解广义周期Sylvester矩阵方程的双共轭残差(biconjugate residual,BCR)算法.在理论方面,证明了该方法在不考虑舍入误差的情况下具有有限步内收敛性;在实验方面,对比数值结果验证了该方法的高效性.
Abstract
A biconjugate residual(BCR)algorithm is proposed to solve the generalized periodic Sylvester matrix equation.In theory,it is proven that this method has finite step convergence without considering rounding errors;In terms of experiments,the efficiency of this method is verified by comparing numerical results.
关键词
双共轭残差算法/广义周期Sylvester矩阵方程/有限终止Key words
the biconjugate residual algorithm/the generalized periodic Sylvester matrix equations/finite termination引用本文复制引用
基金项目
教育部产学协同育人项目(220903654122624)
出版年
2024
NETL
NSTL
万方数据