Iterative method for constrained systems of conjugate transpose matrix equations

被引：3
作者：
Shirilord, Akbar [1 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, Iran
来源：
APPLIED NUMERICAL MATHEMATICS | 2024年 / 198卷
关键词：
Iterative method; Convergence; Conjugate transpose matrix equations; Image restoration; Markovian jump systems; Linear time-invariant dynamical systems; HERMITIAN SPLITTING METHODS; CLOSED-FORM SOLUTIONS; LINEAR MATRIX; SYLVESTER; ALGORITHM; IDENTIFICATION; CONVERGENCE; REFLEXIVE;
D O I：
10.1016/j.apnum.2024.01.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study presents some new iterative algorithms based on the gradient method to solve general constrained systems of conjugate transpose matrix equations for both real and complex matrices. In addition, we analyze the convergence properties of these methods and provide numerical techniques to determine the solutions. The effectiveness of the proposed iterative methods is demonstrated through various numerical examples employed in this study.
引用
收藏
页码：474 / 507
页数：34
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