Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm

Hajarian Masoud

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Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm

机译：通过CD算法耦合的Sylvester矩阵方程的广义反射和防反射溶液

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摘要

The generalized reflexive and anti-reflexive matrices have several applications in engineering and scientific computations. In the present paper, first we propose a conjugate direction (CD) algorithm for finding the generalized reflexive solution X and the generalized anti-reflexive solution Y of the coupled Sylvester matrix equations {A(1)XB(1) + C1YD1 = E-1 A(2)XB(2) + C2YD2 = E-2

机译：广义自反矩阵和反自反矩阵在工程和科学计算中有许多应用。本文首先提出了一个共轭方向（CD）算法来求耦合Sylvester矩阵方程{a（1）XB（1）+C1YD1=E-1 a（2）XB（2）+C2YD2=E-2的广义自反解X和广义反自反解Y

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《Journal of vibration and control: JVC》 |2018年第2期|共14页
作者
Hajarian Masoud;
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作者单位

Shahid Beheshti Univ Fac Math Sci Dept Math Gen Campus Tehran 19839 Iran;

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原文格式 PDF
正文语种 eng
中图分类振动理论;自动控制理论;
关键词
Generalized reflexive matrix; generalized anti-reflexive matrix; conjugate direction (CD) algorithm; coupled Sylvester matrix equations;

机译：广义自反矩阵;广义反自反矩阵;共轭方向（CD）算法;耦合Sylvester矩阵方程;

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专利

1. THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS(AX=B,XC=D) [J] . 数学物理学报（英文版） . 2008,第001期
2. Solutions to the generalized Sylvester matrix equations by a singular value decomposition [J] . 控制理论与应用（英文版） . 2007,第004期
3. Extending GCR Algorithm for the Least Squares Solutions on a Class of Sylvester Matrix Equations [J] . Baohua Huang, Changfeng Ma 高等学校计算数学学报（英文版） . 2018,第001期
4. Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm [J] . Hajarian Masoud Journal of vibration and control: JVC . 2018,第2期

机译：通过CD算法耦合的Sylvester矩阵方程的广义反射和防反射溶液
5. The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations [J] . Yan Tongxin, Ma Changfeng Journal of the Franklin Institute . 2020,第17期

机译：用于解决广义耦合Sylvester矩阵方程的反射或防反射解的BCR算法
6. Gradient-based iterative algorithm for solving the generalized coupled Sylvester-transpose and conjugate matrix equations over reflexive (anti-reflexive) matrices [J] . Fatemeh Panjeh Ali Beik, Davod Khojasteh Salkuyeh, Mahmoud Mohseni Moghadam Transactions of the Institute of Measurement and Control . 2014,第1期

机译：自反（反自反）矩阵上广义广义Sylvester-Transpose和共轭矩阵方程组的基于梯度的迭代算法
7. The Generalized Anti-reflexive Solutions of the Matrix Equation AX = B [C] . Zhibing Liu, Kanmin Wang, Chengfeng Xu International conference on computer design and applications . 2011

机译：矩阵方程AX = B的广义自反解
8. On numerical solutions of the Sylvester-observer equation, and the multi-input eigenvalue assignment problem. [D] . Hetti Arachchige, Chandanie. 1996

机译：关于Sylvester-observer方程的数值解以及多输入特征值分配问题。
9. An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations [O] . Zhongli Zhou, Guangxin Huang 2013

机译：一般耦合矩阵方程自反解的迭代算法
10. Finite iterative algorithms for solving generalized coupled Sylvester systems – Part I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions [O] . Huang Guang-Xin, Wu Na, Yin Feng, 2012

机译：用于求解广义耦合Sylvester系统的有限迭代算法-第一部分：广义自反解上的单侧和广义耦合Sylvester矩阵方程
11. A Comparison of Partitioned and Non-Partitioned Matrix Solutions to Coupled Finite Element-Integral Equations [R] . Cwick, Tom, Jamnejad, Vahraz, Zuffada, Cinzia 1993

机译：耦合有限元 - 积分方程的分区和非分块矩阵解的比较

Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm

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