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采用参数迭代法求一类混合型Lyapunov矩阵方程A~TX+XA+B~TXB=C的对称解.在方程相容的条件下,给出了迭代法收敛的充要条件和一些充分条件,以及参数的选取方法.最后,利用数值算例对有关结果进行了验证.Symmetric solution of the mixed-type Lyapunov matrix equation A^Tx ＋XA＋ B^TXB=C is solved by using an iterative algorithm with a parameter. The necessary and sufficient conditions and some sufficient conditions of convergence for this algorithm are given. Choose of the parameter is discussed when the matrix equation exists a solution. Finally, the results are illustrated by numerical examples.国家自然科学基金(10462001);广西教育厅科研基金(桂教科研2006J26)资助项
Nous nous intéressons dans cette thèse, à l’étude des méthodes itératives pour la résolutiond’équati...
AbstractIn this paper, two new matrix iterative methods are presented to solve the matrix equation A...
In [5] a new iterative method is given for the linear system of equations Au=b , where A is large, s...
本文研究了一类混合型Lyapunov矩阵方程的对称正定解问题。首先将此方程转化为等价的含参矩阵方程,然后运用矩阵分解和紧凸集上不动点定理,给出了方程具有对称正定解的一些必要和充分条件:其次建立两种求方...
It is well-known that the stability of a first-order autonomous system can be determined by testing ...
Abstract In this paper, an iterative algorithm is established to solve discrete Lyapunov matrix equa...
© The Institution of Engineering and Technology 2016.In this study, the authors aim to study explici...
This paper is concerned with numerical solutions to general linear matrix equations including the we...
This paper concerns the mixed-type Lyapunov equation where and are complex matrices and the conjugat...
AbstractIterative solution of the Lyapunov matrix equation AX + XB = C using ADI theory described in...
By extending the idea of LSMR method, we present an iterative method to solve the general coupled ma...
AbstractIn this report, a new procedure is presented for solving the Lyapunov matrix equation. First...
AbstractThe Lyapunov matrix equation AX+XA⊤=B is N-stable when all eigenvalues of the real n×n matri...
This article is concerned with the efficient numerical solution of the Lyapunov equation A(T) X + XA...
We describe a hybrid Lyapunov solver based on the matrix sign function, where the intensive parts of...
Nous nous intéressons dans cette thèse, à l’étude des méthodes itératives pour la résolutiond’équati...
AbstractIn this paper, two new matrix iterative methods are presented to solve the matrix equation A...
In [5] a new iterative method is given for the linear system of equations Au=b , where A is large, s...
本文研究了一类混合型Lyapunov矩阵方程的对称正定解问题。首先将此方程转化为等价的含参矩阵方程,然后运用矩阵分解和紧凸集上不动点定理,给出了方程具有对称正定解的一些必要和充分条件:其次建立两种求方...
It is well-known that the stability of a first-order autonomous system can be determined by testing ...
Abstract In this paper, an iterative algorithm is established to solve discrete Lyapunov matrix equa...
© The Institution of Engineering and Technology 2016.In this study, the authors aim to study explici...
This paper is concerned with numerical solutions to general linear matrix equations including the we...
This paper concerns the mixed-type Lyapunov equation where and are complex matrices and the conjugat...
AbstractIterative solution of the Lyapunov matrix equation AX + XB = C using ADI theory described in...
By extending the idea of LSMR method, we present an iterative method to solve the general coupled ma...
AbstractIn this report, a new procedure is presented for solving the Lyapunov matrix equation. First...
AbstractThe Lyapunov matrix equation AX+XA⊤=B is N-stable when all eigenvalues of the real n×n matri...
This article is concerned with the efficient numerical solution of the Lyapunov equation A(T) X + XA...
We describe a hybrid Lyapunov solver based on the matrix sign function, where the intensive parts of...
Nous nous intéressons dans cette thèse, à l’étude des méthodes itératives pour la résolutiond’équati...
AbstractIn this paper, two new matrix iterative methods are presented to solve the matrix equation A...
In [5] a new iterative method is given for the linear system of equations Au=b , where A is large, s...
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