Citations (41)
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Zhuo-Heng He. (2021) Some new results on a system of Sylvester-type quaternion matrix equations. Linear and Multilinear Algebra 69:16, pages 3069-3091.
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Zhuo-Heng He, Qing-Wen Wang & Yang Zhang. (2018) The complete equivalence canonical form of four matrices over an arbitrary division ring. Linear and Multilinear Algebra 66:1, pages 74-95.
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F.O. Farid, Zhuo-Heng He & Qing-Wen Wang. (2016) The consistency and the exact solutions to a system of matrix equations. Linear and Multilinear Algebra 64:11, pages 2133-2158.
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Zhuo-Heng He & Qing-Wen Wang. (2015) The general solutions to some systems of matrix equations. Linear and Multilinear Algebra 63:10, pages 2017-2032.
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Zhuo-Heng He & Qing-Wen Wang. (2014) The η-bihermitian solution to a system of real quaternion matrix equations. Linear and Multilinear Algebra 62:11, pages 1509-1528.
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Articles from other publishers (36)
Chong-Quan Zhang, Qing-Wen Wang, Andrii Dmytryshyn & Zhuo-Heng He. (2024) Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns. Computational and Applied Mathematics 43:4.
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Xi-Le Xu & Qing-Wen Wang. (2023) The consistency and the general common solution to some quaternion matrix equations. Annals of Functional Analysis 14:3.
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Meng Yan Xie, Qing Wen Wang, Zhuo Heng He & Mehany Mahmoud Saad. (2022) A System of Sylvester-type Quaternion Matrix Equations with Ten Variables. Acta Mathematica Sinica, English Series 38:8, pages 1399-1420.
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Long-Sheng Liu, Qing-Wen Wang & Mahmoud Saad Mehany . (2022) A Sylvester-Type Matrix Equation over the Hamilton Quaternions with an Application. Mathematics 10:10, pages 1758.
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Ruo-Nan Wang, Qing-Wen Wang & Long-Sheng Liu. (2022) Solving a System of Sylvester-like Quaternion Matrix Equations. Symmetry 14:5, pages 1056.
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Mahmoud Saad Mehany & Qing-Wen Wang. (2022) Three Symmetrical Systems of Coupled Sylvester-like Quaternion Matrix Equations. Symmetry 14:3, pages 550.
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Long-Sheng Liu, Qing-Wen Wang, Jiang-Feng Chen & Yu-Zhu Xie. (2022) An Exact Solution to a Quaternion Matrix Equation with an Application. Symmetry 14:2, pages 375.
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Xiang Zhang. (2022) The η-Hermitian solutions to some systems of real quaternion matrix equations. Filomat 36:1, pages 315-330.
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Abdur Rehman, Israr Ali Khan, Rukhshanda Anjum & Iftikhar Hussain. (2021) Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices. Symmetry 13:10, pages 1825.
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Zhuo-Heng He, Meng Wang & Xin Liu. (2020) On the general solutions to some systems of quaternion matrix equations. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:2.
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Zhuo-Heng He. (2019) A System of Coupled Quaternion Matrix Equations with Seven Unknowns and Its Applications. Advances in Applied Clifford Algebras 29:3.
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Zhuo-Heng He, Qing-Wen Wang & Yang Zhang. (2019) A simultaneous decomposition for seven matrices with applications. Journal of Computational and Applied Mathematics 349, pages 93-113.
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Caiqin Song & Guoliang Chen. (2016)
Solutions to the matrix equation
X − AXB
=
CY
+
R
and its application
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Zhuo-Heng He, Qing-Wen Wang & Yang Zhang. (2018) A system of quaternary coupled Sylvester-type real quaternion matrix equations. Automatica 87, pages 25-31.
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Xiangrong Nie, Qingwen Wang & Yang Zhang. (2017) A System of Matrix Equations over the Quaternion Algebra with Applications. Algebra Colloquium 24:02, pages 233-253.
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Zhuoheng He & Qingwen Wang. (2017) A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations. Algebra Colloquium 24:01, pages 169-180.
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Xiaotao Sun. (2017) Factorization of Generalized Theta Functions Revisited. Algebra Colloquium 24:01, pages 1-52.
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Caiqin Song & Jun-e Feng. (2015) An iterative algorithm to solve the generalized coupled Sylvester-transpose matrix equations. Transactions of the Institute of Measurement and Control 38:7, pages 863-875.
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Qing-Wen Wang, Abdur Rehman, Zhuo-Heng He & Yang Zhang. (2016) Constraint generalized Sylvester matrix equations. Automatica 69, pages 60-64.
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G. Ebadi & S. Rashedi. (2016) The General Solution to a System of Eight Quaternion Matrix Equations with Applications. Iranian Journal of Science and Technology, Transactions A: Science 40:2, pages 91-102.
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Li Wang, Qingwen Wang & Zhuoheng He. (2016) The Common Solution of Some Matrix Equations. Algebra Colloquium 23:01, pages 71-81.
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Wei-Ru Xu & Guo-Liang Chen. (2016)
Inverse problems for
-symmetric matrices in structural dynamic model updating
. Computers & Mathematics with Applications 71:5, pages 1074-1088.
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Xiang Zhang. (2016) A system of generalized Sylvester quaternion matrix equations and its applications. Applied Mathematics and Computation 273, pages 74-81.
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Abdur Rehman & Qing-Wen Wang. (2015) A system of matrix equations with five variables. Applied Mathematics and Computation 271, pages 805-819.
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Abdur Rehman, Qing-Wen Wang & Zhuo-Heng He. (2015) Solution to a system of real quaternion matrix equations encompassing η-Hermicity. Applied Mathematics and Computation 265, pages 945-957.
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Qing-Wen Wang & Zhuo-Heng He. (2014) Systems of coupled generalized Sylvester matrix equations. Automatica 50:11, pages 2840-2844.
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Caiqin Song, Jun‐e Feng, Xiaodong Wang & Jianli Zhao. (2013)
Parametric Solutions to the Generalized Discrete
Y
akubovich‐Transpose Matrix Equation
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Chang-Zhou Dong & Yu-Ping Zhang. (2014)
The Solutions to Matrix Equation
with Some Constraints
. Journal of Applied Mathematics 2014, pages 1-4.
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Xiang Zhang. (2014) Characterization for the general solution to a system of matrix equations with quadruple variables. Applied Mathematics and Computation 226, pages 274-287.
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Yang Zhang & Rong-Hao Wang. (2013) The exact solution of a system of quaternion matrix equations involving η-Hermicity. Applied Mathematics and Computation 222, pages 201-209.
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QingWen Wang & ZhuoHeng He. (2013) A system of matrix equations and its applications. Science China Mathematics 56:9, pages 1795-1820.
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Yuyang Qiu. (2013)
Eigenvector-Free Solutions to the Matrix Equation
with Two Special Constraints
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Xiang Zhang & Shu-Wen Xiang. (2013) Solving Optimization Problems on Hermitian Matrix Functions with Applications. Journal of Applied Mathematics 2013, pages 1-11.
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Shao-Wen Yu. (2013) Ranks of a Constrained Hermitian Matrix Expression with Applications. Journal of Applied Mathematics 2013, pages 1-9.
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Zhuo-Heng He & Qing-Wen Wang. (2012) Solutions to optimization problems on ranks and inertias of a matrix function with applications. Applied Mathematics and Computation 219:6, pages 2989-3001.
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