Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method

Hajarian Masoud

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Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method

机译：通过基于梯度的迭代方法求解一般的Sylvester离散时间周期矩阵方程

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摘要

The present work proposes a gradient based iterative method to find the solutions of the general Sylvester discrete-time periodic matrix equations

机译：本工作提出了一种基于梯度的迭代方法来寻找一般的Sylvester离散时间周期矩阵方程的解

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《Applied mathematics letters》 |2016年第null期|共9页
作者
Hajarian Masoud;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Iterative method; Matrix equation; Periodic matrix; Gradient based iterative method;

机译：迭代法;矩阵方程;周期矩阵;基于梯度的迭代法;

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专利

1. Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method [J] . Hajarian Masoud Applied mathematics letters . 2016,第Null期

机译：通过基于梯度的迭代方法求解一般的Sylvester离散时间周期矩阵方程
2. Convergence analysis of generalized conjugate direction method to solve general coupled Sylvester discrete-time periodic matrix equations [J] . Hajarian Masoud International Journal of Adaptive Control and Signal Processing . 2017,第7期

机译：求解广义耦合西尔维斯特离散时间周期矩阵方程的广义共轭方向法的收敛性分析
3. The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations [J] . Min Sun, Yiju Wang Journal of Applied Mathematics and Computing . 2019,第1a2期

机译：求解广义周期性SYLVESTER矩阵方程的共轭梯度方法
4. Evaluating Parallel Algorithms for Solving Sylvester-Type Matrix Equations: Direct Transformation-Based Versus Iterative Matrix-Sign-Function-Based Methods [C] . Robert Granat, Bo Kagstrom International Workshop on Applied Parallel Computing . 2006

机译：求解Sylvester型矩阵方程的并行算法：基于直接转换的与迭代矩阵 - 符号函数的方法
5. Parallel Krylov subspace methods for solving Sylvester's equations. [D] . Hu, Dan Yu. 1992

机译：求解Sylvester方程的并行Krylov子空间方法。
6. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations [O] . Taher Lotfi, Alicia Cordero, Juan R. Torregrosa, -1

机译：基于Bi等人的概论。八阶收敛迭代法求解非线性方程
7. Evaluating Parallel Algorithms for Solving Sylvester-Type Matrix Equations: Direct Transformation-Based versus Iterative Matrix-Sign-Function-Based Methods [O] . 2009

机译：评估求解Sylvester型矩阵方程的并行算法：基于直接变换的方法与基于迭代矩阵符号函数的方法

Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method

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