Iterative Algorithm for the Reflexive Solution of a Sylvester Quaternion K-conjugate Matrix Equation

机译：Sylvester Quaternion K缀合物矩阵方程反射解的迭代算法

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We in this paper study the reflexive solution of a Sylvester quaternion k-conjugate matrix equation. We first give an iterative algorithm for the solution of the problem. Then we prove that the algorithm will generate a solution with high efficiency, when the problem is solvable. Finally, we present an example to show the effectiveness of the algorithm.

机译：本文研究了SYLVESTER QUATTENION K缀合物矩阵方程的反复解。我们首先为解决问题的解决方案提供迭代算法。然后，当问题是可溶性时，我们证明算法将以高效率产生溶液。最后，我们提出了一个示例来展示算法的有效性。

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《IEEE International Conference of Safe Production and Informatization》|2020年|526-529|共4页
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Ning Li;
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Quaternions; Conferences; Production; Iterative methods; Convergence;

机译：四分音符;会议;生产;迭代方法;收敛;

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1. Finite iterative algorithms for solving generalized coupled Sylvester systems-Part Ⅱ: Two-sided and generalized coupled Sylvester matrix equations over reflexive solutions [J] . Feng Yin, Guang-Xin Huang, De-Qin Chen Applied Mathematical Modelling . 2012,第4期

机译：解广义耦合Sylvester系统的有限迭代算法-第二部分：自反解上的双面广义耦合Sylvester矩阵方程
2. Finite iterative algorithms for solving generalized coupled Sylvester systems - Part Ⅰ: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions [J] . Guang-Xin Huang, Na Wu, Feng Yin, Applied Mathematical Modelling . 2012,第4期

机译：广义广义Sylvester系统求解的有限迭代算法-第一部分：广义自反解上的单边广义广义Sylvester矩阵方程
3. Two iterative algorithms for the reflexive and Hermitian reflexive solutions of the generalized Sylvester matrix equation [J] . Ramadan Mohamed A., El-Danaf Talaat S., Bayoumi Ahmed M. E. Journal of vibration and control: JVC . 2015,第3期

机译：广义Sylvester矩阵方程的自反和厄米自反解的两种迭代算法。
4. The reflexive re-positive per-definite solution to a system of quaternion matrix equations [C] . Qin Zhang, Qingwen Wang The Third International Workshop on Applied Matrix Theory（第三届国际矩阵分析与应用会议）论文集 . 2009

机译：四元数矩阵方程组的自反正定值解
5. A THEORY OF APPROXIMATE INVERSES FOR THE SOLUTION OF MATRIX EQUATIONS BY ITERATION. [D] . VANDERSCHEL, DAVID JON. 1970

机译：通过迭代求解矩阵方程的近似逆的理论。
6. 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
7. 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

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Iterative Algorithm for the Reflexive Solution of a Sylvester Quaternion K-conjugate Matrix Equation

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