西尔维斯特方程
数学
趋同(经济学)
迭代法
约束(计算机辅助设计)
应用数学
拉格朗日乘数
西尔维斯特矩阵
基质(化学分析)
数学优化
数学分析
特征向量
几何学
物理
量子力学
多项式矩阵
多项式的
经济
复合材料
经济增长
材料科学
矩阵多项式
作者
Siting Yu,Jingjing Peng,Zengao Tang,Zhenyun Peng
出处
期刊:AIMS mathematics
[American Institute of Mathematical Sciences]
日期:2023-01-01
卷期号:8 (9): 21531-21553
被引量:1
标识
DOI:10.3934/math.20231097
摘要
<abstract><p>In this paper, the multiple constraint least squares solution of the Sylvester equation $ AX+XB = C $ is discussed. The necessary and sufficient conditions for the existence of solutions to the considered matrix equation are given. Noting that the alternating direction method of multipliers (ADMM) is a one-step iterative method, a multi-step alternating direction method of multipliers (MSADMM) to solve the considered matrix equation is proposed and some convergence results of the proposed algorithm are proved. Problems that should be studied in the near future are listed. Numerical comparisons between MSADMM, ADMM and ADMM with Anderson acceleration (ACADMM) are included.</p></abstract>
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