摘要
双共轭梯度稳定化方法(BCGSTAB)是双共轭梯度方法的快速和光滑收敛的变形.该文将BCGSTAB算法推广到求解Stein张量方程,给出了张量格式的算法以及解的存在性的具体证明过程,并得到了该算法的收敛性结果.数值实验证实了该算法用于求解Stein张量方程是有效且可行的.
The biconjugate gradient stabilized(BCGSTAB)method is a fast and smoothly converging variant of biconjugate gradient(BiCG)method.In this paper,we generalize BCGSTAB method to solve the Stein tensor equation.We raise the algorithm of tensor format and specific proof process of existence of a solution.And we present the convergence theorem of this algorithm.Numerical experiments demonstrate this algorithm is effective and feasible for solving the Stein tensor equation.
作者
马昌凤
谢亚君
卜凡
Ma Changfeng;Xie Yajun;Bu Fan(School of Big Data&Key Laboratory of Data science and intelligent computing,Fuzhou University of International Studies and Trade,Fuzhou 350202;School of Mathematics and Information,Fujian Normal University,Fuzhou 350117)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2024年第6期1652-1664,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(12371378)
福建省自然科学基金(2024J01980)。
