[1] Zhuo-Heng He, Li-Wei Ye, Yun-Ze Xu, Mei-Ling Deng, Qsvd method for arbitrary multiple sylvester-type coupled quaternion matrix equations with applications, Computational and Applied Mathematics, (2026), 45, 155.

[2] Zhuo-Heng He, Yun-Ze Xu, Qing-Wen Wang, Xiang-Xiang Wang, Solving a system of quaternion matrix equations by using PSVD for multiple matrices with applications, Journal of Computational and Applied Mathematics, (2026), 476, 117072.

[3] Chen-Yang Qi, Chang Liu, Zhuo-Heng He, Shao-Wen Yu, A Color Image Encryption Model Based on a System of Quaternion Matrix Equations, mathematics, (2026), 14, 319.

[4] Zhuo-Heng He, Mei-Ling Deng, Jun-Jun Pan, Michael K. Ng, Diagonalization of two quaternion tensors with applications, Applied Mathematical Modelling, 148, 116278 (2025).

[5] Jia-Wei Huo, Yun-Ze Xu, Zhuo-Heng He*, A simultaneous Decomposition for a quaternion Tensor Quaternity with Applications, mathematics, 13, 1679, (2025).

[6] Zhuo-Heng He, Mei-Ling Deng, Shao-Wen Yu, T-Eigenvalues of Third-Order Quaternion Tensors, mathematics, (2025), 13, 1549.

[7] Xin-Fang Zhang, Meng-Long Xiao, Zhuo-Heng He*, Orthogonal block Kaczmarz inner-iteration preconditioned flexible GMRES method for large-scale linear systems, Applied Mathematics Letters, Volume 166, article number 109529, (2025).

[8] Zhuo-Heng He, Andrii Dmytryshyn, Qing-Wen Wang, A new system of sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra, Linear and Multilinear Algebra, 73 (7) 1269-1309 (2025).

[9] Lv-Ming Xie, Qing-Wen Wang, Zhuo-Heng He, The generalized hand-eye calibration matrix equation AX-YB = C over dual quaternions, Computational and Applied Mathematics, (2025), Volume 44, article number 137.

[10] Zhuo-Heng He, Yun-Ze Xu, Qing-Wen Wang, Chong-Quan Zhang, The Equivalence canonical forms of two sets of five quaternion matrices with applications, Mathematical Methods in the Applied Sciences, (2025).

[11] Zhuo-Heng He, Ting-Ting Liu, Xiang-Xiang Wang, Eigenvalues of quaternion tensors: properties, algorithms and applications, Advances in Applied Clifford Algebras, (2025) 35: 4.

[12] Zhuo-Heng He, Wei-Lu Qin, Jie Tian, Xiang-Xiang Wang, Yang Zhang, A new Sylvester-type quaternion matrix equation model for color image data transmission, Computational and Applied Mathematics, (2024), Volume 43, article number 227.

[13] Zhuo-Heng He, Jie Tian, Shao-Wen Yu, A system of four generalized Sylvester matrix equations over the quaternion algebra, mathematics, (2024), 12, 2341.

[14] Chong-Quan Zhang, Qing-Wen Wang, Andrii Dmytryshyn, Zhuo-Heng He*, Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns, Computational and Applied Mathematics, Volume 43, article number 181, (2024).

[15] Chong-Quan Zhang, Qing-Wen Wang, Xiang-Xiang Wang, Zhuo-Heng He*, Restricted Singular Value Decomposition for a Tensor Triplet under T-Product and Its Applications, mathematics, (2024), 12, 982.

[16] Zhuo-Heng He, Xiao-Na Zhang, Xiaojing Chen, Unitary Diagonalization of the Generalized Complementary Covariance Quaternion Matrices with Application in Signal Processing, mathematics, (2023), 11, 4840.

[17] Zhuo-Heng He, Xiang-Xiang Wang, Yun-Fan Zhao, Eigenvalues of quaternion tensors with applications to color video processing, Journal of Scientific Computing, (2023) 94: 1. (ESI highly cited paper, Hot paper)

[18] Zhuo-Heng He, Carmeliza Navasca, Xiang-Xiang Wang, Decomposition for a quaternion tensor triplet with applications, Advances in Applied Clifford Algebras, (2022) 32: 9.

[19] Shao-Wen Yu, Xiao-Na Zhang, Wei-Lu Qin, Zhuo-Heng He, Some properties of the solution to a system of quaternion matrix equations, axioms, (2022) 11, 710.

[20] Meng-Yan Xie, Qing-Wen Wang, Zhuo-Heng He, Mehany-Mahmoud Saad, A system of Sylvester-type quaternion matrix equations with ten variables, Acta Mathematica Sinica, English Series, (2022).

[21] Zhuo-Heng He, Xiao-Na Zhang, Yun-Fan Zhao, Shao-Wen Yu, The solvability of a system of quaternion matrix equations involving Φ-skew-Hermicity, Symmetry, (2022) 14, 1273.

[22] Zhuo-Heng He, Jie Tian, Yun-Fan Zhao, Shao-Wen Yu, Consistency and general solutions to some Sylvester-like quaternion matrix equations, Symmetry, (2022) 14, 1350.

[23] Zhuo-Heng He, Some new results on a system of Sylvester-type quaternion matrix equations, Linear and Multilinear Algebra, 69 (16) (2021) 3069-3091.

[24] Zhuo-Heng He, Meng Wang, Solvability conditions and general solutions to some quaternion matrix equations, Mathematical Methods in the Applied Sciences, 44 (18) (2021) 14274-14291.

[25] Zhuo-Heng He, Wei-Lu Qin, Xiang-Xiang Wang, Some applications of a decomposition for five quaternion matrices in control system and color image processing, Computational and Applied Mathematics, (2021) 40, article no. 205.

[26] Zhuo-Heng He, Michael K. Ng, Chao Zeng, Generalized singular value decompositions for tensors and their applications, Numerical Mathematics: Theory, Methods and Applications, 14 (3) (2021) 692-713.

[27] Zhuo-Heng He, Chen Chen, Xiang-Xiang Wang, A simultaneous decomposition for three quaternion tensors with applications in color video signal processing, Analysis and Applications, 19 (3) (2021) 529-549.

[28] Zhuo-Heng He, Meng Wang, A quaternion matrix equation with two different restrictions, Advances in Applied Clifford Algebras, (2021) 31: 25.

[29] Shao-Wen Yu, Zhuo-Heng He*, Tian-Cheng Qi, Xiang-Xiang Wang, The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations, Journal of Computational and Applied Mathematics, 393 (2021) article no. 113494.

[30] Shao-Wen Yu, Wei-Lu Qin, Zhuo-Heng He*, Some systems of tensor equations under T-Product and their applications, Filomat, 35 (2021) 3663-3677.

[31] Zhuo-Heng He, Meng Wang, Xin Liu, On the general solutions to some systems of quaternion matrix equations, Rev. R. Acad. Cienc. Exactas F’is. Nat. Ser. AMat. RACSAM, (2020), 114:95.

[32] Xin Liu, Zhuo-Heng He*, On the split quaternion matrix equation AX = B, Banach Journal of Mathematical Analysis, 14, (2020) 228-248.

[33] Xin Liu, Zhuo-Heng He*, eta-Hermitian solution to a system of quaternion matrix equations, Bulletin of the Malaysian Mathematical Sciences Society, 43, (2020) 4007-4027.

[34] Zhuo-Heng He, Pure PSVD approach to Sylvester-type quaternion matrix equations, Electronic Journal of Linear Algebra, 35, (2019) 266-284.

[35] Zhuo-Heng He, A system of coupled quaternion matrix equations with seven unknowns and its applications, Advances in Applied Clifford Algebras (2019) 29: 38.

[36] Zhuo-Heng He, Qing-Wen Wang, Yang Zhang, A simultaneous decomposition for seven matrices with applications, Journal of Computational and Applied Mathematics, 349 (2019) 93-113. (ESI highly cited paper)

[37] Zhuo-Heng He, Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving phi-skew-hermicity, Advances in Applied Clifford Algebras (2019) 29: 6. (ESI highly cited paper)

[38] Zhuo-Heng He, The general solution to a system of coupled Sylvester-type quaternion tensor equations involving eta-Hermicity, Bulletin of the Iranian Mathematical Society, 45 (2019) 1407-1430.

[39] Zhuo-Heng He, Some quaternion matrix equations involving phi-Hermicity, Filomat, 33 (16) (2019) 5097-5112.

[40] Xin Liu, Huajun Huang, Zhuo-Heng He*, Real representation approach to quaternion matrix equation involving phi-Hermicity, Mathematical Problems in Engineering, Article ID 3258349, 2019.

[41] Qing-Wen Wang, Zhuo-Heng He, Yang Zhang, Constrained two-sided coupled Sylvester-type quaternion matrix equations, Automatica, 101 (2019) 207-213.

[42] Zhuo-Heng He, Qing-Wen Wang, Yang Zhang, A system of quaternary coupled Sylvester-type real quaternion matrix equations, Automatica, 87 (2018) 25-31.

[43] Zhuo-Heng He, Qing-Wen Wang, Yang Zhang, The complete equivalence canonical form of four matrices over an arbitrary division ring, Linear and Multilinear Algebra, 66, (2018) 74-95.

[44] Zhuo-Heng He, Jianzhen Liu, Tin-Yau Tam, The general phi-hermitian solution to mixed pairs of quaternion matrix Sylvester equations, Electronic Journal of Linear Algebra, 32, (2017) 475-499.

[45] Zhuo-Heng He, Qing-Wen Wang, Yang Zhang, Simultaneous decomposition of quaternion matrices involving eta-Hermicity with applications, Applied Mathematics and Computation, 298 (2017) 13-25. (ESI highly cited paper)

[46] Zhuo-Heng He, Qing-Wen Wang, A system of periodic discrete-time coupled Sylvester quaternion matrix equations, Algebra Colloquium, 24 (2017) 169-180. (ESI highly cited paper)

[47] Zhuo-Heng He, Oscar Mauricio Agudelo, Qing-Wen Wang, Bart De Moor, Two sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices, Linear Algebra and its Applications, 496 (2016) 549-593. (ESI highly cited paper)

[48] Qing-Wen Wang, Abdur Rehman, Zhuo-Heng He, Yang Zhang, Constraint generalized Sylvester matrix equations, Automatica, 69 (2016) 60-64.

[49] F.O. Farid, Zhuo-Heng He, Qing-Wen Wang, The consistency and the exact solutions to a system of matrix equations, Linear and Multilinear Algebra, 64 (2016) 2133-2158.

[50] Li Wang, Qing-Wen Wang, Zhuo-Heng He, The common solution of some matrix equations, Algebra Colloquium, 23 (2016) 71-81.

[51] Zhuo-Heng He, Qing-Wen Wang, The general solutions to some systems of matrix equations, Linear and Multilinear Algebra, 63 (2015) 2017-2032.

[52] Abdur Rehman, Qing-Wen Wang, Zhuo-Heng He, Solution to a system of real quaternion matrix equations encompassing eta-Hermicity, Applied Mathematics and Computation, 265 (2015) 945-957.

[53] Qing-Wen Wang, Zhuo-Heng He, Systems of coupled generalized Sylvester matrix equations, Automatica, 50 (2014) 2840-2844.
[54] Qing-Wen Wang, Zhuo-Heng He, Solvability conditions and general solution for mixed Sylvester equations, Automatica, 49 (2013) 2713-2719.
[55] Zhuo-Heng He, Qing-Wen Wang, The eta-bihermitian solution to a system of real quaternion matrix equations, Linear and Multilinear Algebra, 62 (2013) 1509-1528.
[56] Zhuo-Heng He, Qing-Wen Wang, A real quaternion matrix equation with applications, Linear and Multilinear Algebra, 61 (2013) 725-740. (ESI highly cited paper)
[57] Qing-Wen Wang, Zhuo-Heng He, A system of matrix equations and its applications, Science China Mathematics, 56 (2013) 1795-1820.
[58] Qing-Wen Wang, Xiang Zhang, Zhuo-Heng He, On the Hermitian structures of the solution to a pair of matrix equations, Linear and Multilinear Algebra, 61(2013) 73-90.
[59] Zhuo-Heng He, Qing-Wen Wang, Solutions to optimization problems on ranks and inertias of a matrix function with applications, Applied Mathematics and Computation, 219 (2012) 2989-3001.
[60] Qing-Wen Wang, Zhuo-Heng He, Some matrix equations with applications, Linear and Multilinear Algebra, 60 (2012) 1327-1353.