On closed-form solutions to the generalized Sylvester-conjugate matrix equation

Wu A.-G.; Zhang E.; Liu F.

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On closed-form solutions to the generalized Sylvester-conjugate matrix equation

机译：广义Sylvester共轭矩阵方程的闭式解。

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In this paper, several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given. The proposed solutions can provide all the degrees of freedom which are represented by a free parameter matrix. In addition, the approaches adopted in this paper do not require that the coefficient matrices are in any canonical forms.

机译：本文给出了广义Sylvester-共轭矩阵方程的几个显式参数解。所提出的解决方案可以提供由自由参数矩阵表示的所有自由度。另外，本文采用的方法不需要系数矩阵采用任何规范形式。

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《Applied mathematics and computation》 |2012年第19期|共12页
作者
Wu A.-G.; Zhang E.; Liu F.;
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正文语种 eng
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Controllability matrix; Degrees of freedom; Generalized Sylvester-conjugate matrix equation; Observability matrix; Smith normal form;

机译：可控性矩阵;自由度;广义Sylvester-共轭矩阵方程;可观测性矩阵;Smith范式;

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专利

1. On closed-form solutions to the generalized Sylvester-conjugate matrix equation [J] . Wu A.-G., Zhang E., Liu F. Applied mathematics and computation . 2012,第19期

机译：广义Sylvester共轭矩阵方程的闭式解。
2. An iterative algorithm for the least Frobenius norm Hermitian and generalized skew Hamiltonian solutions of the generalized coupled Sylvester-conjugate matrix equations [J] . Huang Baohua, Ma Changfeng Numerical algorithms . 2018,第4期

机译：广义耦合Sylvest-Concixate矩阵方程的最低毛毡常见Hermitian和广义偏光Hamiltonian解的迭代算法
3. On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations [J] . Huang Bao-Hua, Ma Chang-Feng Computers & mathematics with applications . 2017,第3期

机译：关于广义耦合Sylvester-共轭矩阵方程的最小二乘广义Hamilton解
4. Left conjugate product of polynomial matrices and solutions to the dual Sylvester-conjugate matrix equations [C] . Wu Ai-Guo, Chen Ye, Sreeram Victor, Australian Control Conference . 2012

机译：多项式矩阵的左共轭积和对偶Sylvester共轭矩阵方程的解
5. Finding closed-form solutions of difference equations by symbolic methods. [D] . Petkovsek, Marko. 1991

机译：用符号法寻找差分方程的闭式解。
6. Delay chemical master equation: direct and closed-form solutions [O] . Andre Leier, Tatiana T. Marquez-Lago -1

机译：延迟化学主方程：直接形式和闭合形式的解决方案
7. Closed-form solutions to Sylvester-conjugate matrix equations [O] . Wu Ai-Guo, Feng Gang, Duan Guang-Ren, 2010

机译：Sylvester-共轭矩阵方程的闭式解
8. Exact Closed-Form Solution of the Generalized Debye-Smoluchowski Equation [R] . Flannery, M. R. 1981

机译：广义Debye-smoluchowski方程的精确闭包形式

On closed-form solutions to the generalized Sylvester-conjugate matrix equation

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