Edit Profile (opens in new tab) He, ZhuoHeng Co-Author Distance Author ID: he.zhuoheng Published as: He, Zhuo-Heng; He, Zhuoheng; He, Zhuo Heng; He, ZhuoHeng more...less Documents Indexed: 49 Publications since 2004, including 6 Additional arXiv Preprints Co-Authors: 24 Co-Authors with 41 Joint Publications 1,033 Co-Co-Authors all top 5 Co-Authors 7 single-authored 28 Wang, Qingwen 6 Zhang, Yang 5 Wang, Xiangxiang 4 Liu, Xin 3 Wang, Meng 2 Navasca, Carmeliza 2 Rehman, Abdur 2 Zhang, Xiang 1 Agudelo, Oscar Mauricio 1 Chen, Chen 1 De Moor, Bart L. R. 1 Farid, Farid O. 1 Huang, Huajun 1 Liu, Jianzhen 1 Ng, Michael Kwok-Po 1 Qi, Tian-Cheng 1 Qin, Wei-Lu 1 Saad, Mehany Mahmoud 1 Tam, Tin-Yau 1 Wang, Li 1 Xie, Mengyan 1 Yang, Guojian 1 Yu, Shaowen 1 Zeng, Chao 1 Zhang, Lin 1 Zhao, Yunfan all top 5 Serials 9 Linear and Multilinear Algebra 5 Automatica 4 Advances in Applied Clifford Algebras 3 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Algebra Colloquium 2 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Bulletin of the Iranian Mathematical Society 1 Journal of Scientific Computing 1 Linear Algebra and its Applications 1 Computational and Applied Mathematics 1 Filomat 1 Mathematical Problems in Engineering 1 Journal of Shanghai University. Natural Science 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Analysis and Applications (Singapore) 1 Banach Journal of Mathematical Analysis 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 47 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 1 Associative rings and algebras (16-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 781 times in 192 Documents Cited by ▼ Year ▼ Solvability conditions and general solution for mixed Sylvester equations. Zbl 1364.15011 Wang, Qing-Wen; He, Zhuo-Heng 68 2013 A real quaternion matrix equation with applications. Zbl 1317.15016 He, Zhuo-Heng; Wang, Qing-Wen 53 2013 Systems of coupled generalized Sylvester matrix equations. Zbl 1300.93087 Wang, Qing-Wen; He, Zhuo-Heng 46 2014 A system of quaternary coupled Sylvester-type real quaternion matrix equations. Zbl 1379.93057 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 42 2018 Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices. Zbl 1332.15006 He, Zhuo-Heng; Agudelo, Oscar Mauricio; Wang, Qing-Wen; De Moor, Bart 41 2016 The general solutions to some systems of matrix equations. Zbl 1334.15040 He, Zhuo-Heng; Wang, Qing-Wen 35 2015 Constrained two-sided coupled Sylvester-type quaternion matrix equations. Zbl 1409.15009 Wang, Qing-Wen; He, Zhuo-Heng; Zhang, Yang 35 2019 The \(\eta\)-bihermitian solution to a system of real quaternion matrix equations. Zbl 1307.15019 He, Zhuo-Heng; Wang, Qing-Wen 33 2014 The general \(\phi\)-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations. Zbl 1386.15017 He, Zhuo-Heng; Liu, Jianzhen; Tam, Tin-Yau 33 2017 A system of periodic discrete-time coupled Sylvester quaternion matrix equations. Zbl 1361.15015 He, Zhuoheng; Wang, Qingwen 32 2017 Constraint generalized Sylvester matrix equations. Zbl 1338.93174 Wang, Qing-Wen; Rehman, Abdur; He, Zhuo-Heng; Zhang, Yang 32 2016 Some matrix equations with applications. Zbl 1262.15014 Wang, Qing-Wen; He, Zhuo-Heng 31 2012 Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications. Zbl 1411.15023 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 30 2017 The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity. Zbl 1423.15016 He, Zhuo-Heng 27 2019 A simultaneous decomposition for seven matrices with applications. Zbl 1404.15011 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 26 2019 Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity. Zbl 1410.15034 Rehman, Abdur; Wang, Qing-Wen; He, Zhuo-Heng 24 2015 Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. Zbl 1409.15017 He, Zhuo-Heng 17 2019 Pure PSVD approach to Sylvester-type quaternion matrix equations. Zbl 1418.15015 He, Zhuo-Heng 16 2019 A system of matrix equations and its applications. Zbl 1291.15043 Wang, QingWen; He, ZhuoHeng 15 2013 A system of coupled quaternion matrix equations with seven unknowns and its applications. Zbl 1414.15021 He, Zhuo-Heng 13 2019 A pair of mixed generalized Sylvester matrix equations. Zbl 1313.15029 He, Zhuoheng; Wang, Qingwen 11 2014 Some new results on a system of Sylvester-type quaternion matrix equations. Zbl 1481.15015 He, Zhuo-Heng 11 2021 The complete equivalence canonical form of four matrices over an arbitrary division ring. Zbl 1386.15029 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 9 2018 The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations. Zbl 1464.15027 Yu, Shao-Wen; He, Zhuo-Heng; Qi, Tian-Cheng; Wang, Xiang-Xiang 9 2021 The common solution of some matrix equations. Zbl 1348.15012 Wang, Li; Wang, Qingwen; He, Zhuoheng 8 2016 Solutions to optimization problems on ranks and inertias of a matrix function with applications. Zbl 1309.15025 He, Zhuo-Heng; Wang, Qing-Wen 8 2012 A quaternion matrix equation with two different restrictions. Zbl 1464.15022 He, Zhuo-Heng; Wang, Meng 8 2021 A simultaneous decomposition for three quaternion tensors with applications in color video signal processing. Zbl 1467.15019 He, Zhuo-Heng; Chen, Chen; Wang, Xiang-Xiang 7 2021 On the general solutions to some systems of quaternion matrix equations. Zbl 1436.15017 He, Zhuo-Heng; Wang, Meng; Liu, Xin 7 2020 On the Hermitian structures of the solution to a pair of matrix equations. Zbl 1264.15020 Wang, Qing-Wen; Zhang, Xiang; He, Zhuo-Heng 7 2013 The consistency and the exact solutions to a system of matrix equations. Zbl 1357.15007 Farid, F. O.; He, Zhuo-Heng; Wang, Qing-Wen 6 2016 Generalized singular value decompositions for tensors and their applications. Zbl 1488.15044 He, Zhuoheng; Ng, Michael K.; Zeng, Chao 6 2021 On the split quaternion matrix equation \(AX=B\). Zbl 1429.15028 Liu, Xin; He, Zhuo-Heng 6 2020 Some quaternion matrix equations involving \(\Phi\)-Hermicity. Zbl 1499.15051 He, Zhuo-Heng 6 2019 Some applications of a decomposition for five quaternion matrices in control system and color image processing. Zbl 1476.68294 He, Zhuo-Heng; Qin, Wei-Lu; Wang, Xiang-Xiang 5 2021 Eigenvalues of quaternion tensors with applications to color video processing. Zbl 1504.15023 He, Zhuo-Heng; Wang, Xiang-Xiang; Zhao, Yun-Fan 4 2023 A system of Sylvester-type quaternion matrix equations with ten variables. Zbl 1497.15020 Xie, Meng Yan; Wang, Qing Wen; He, Zhuo Heng; Saad, Mehany Mahmoud 4 2022 Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity. Zbl 1435.15022 Liu, Xin; Huang, Huajun; He, Zhuo-Heng 4 2019 Decomposition for a quaternion tensor triplet with applications. Zbl 1481.15027 He, Zhuo-Heng; Navasca, Carmeliza; Wang, Xiang-Xiang 3 2022 Solvability conditions and general solutions to some quaternion matrix equations. Zbl 1479.15011 He, Zhuo-Heng; Wang, Meng 2 2021 Light amplification related to collective atomic recoil affected by dipole-dipole collision. Zbl 1118.81474 Zhang, L.; Yang, G. J.; He, Z. H. 1 2004 \( \eta \)-Hermitian solution to a system of quaternion matrix equations. Zbl 1452.15007 Liu, Xin; He, Zhuo-Heng 1 2020 Eigenvalues of quaternion tensors with applications to color video processing. Zbl 1504.15023 He, Zhuo-Heng; Wang, Xiang-Xiang; Zhao, Yun-Fan 4 2023 A system of Sylvester-type quaternion matrix equations with ten variables. Zbl 1497.15020 Xie, Meng Yan; Wang, Qing Wen; He, Zhuo Heng; Saad, Mehany Mahmoud 4 2022 Decomposition for a quaternion tensor triplet with applications. Zbl 1481.15027 He, Zhuo-Heng; Navasca, Carmeliza; Wang, Xiang-Xiang 3 2022 Some new results on a system of Sylvester-type quaternion matrix equations. Zbl 1481.15015 He, Zhuo-Heng 11 2021 The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations. Zbl 1464.15027 Yu, Shao-Wen; He, Zhuo-Heng; Qi, Tian-Cheng; Wang, Xiang-Xiang 9 2021 A quaternion matrix equation with two different restrictions. Zbl 1464.15022 He, Zhuo-Heng; Wang, Meng 8 2021 A simultaneous decomposition for three quaternion tensors with applications in color video signal processing. Zbl 1467.15019 He, Zhuo-Heng; Chen, Chen; Wang, Xiang-Xiang 7 2021 Generalized singular value decompositions for tensors and their applications. Zbl 1488.15044 He, Zhuoheng; Ng, Michael K.; Zeng, Chao 6 2021 Some applications of a decomposition for five quaternion matrices in control system and color image processing. Zbl 1476.68294 He, Zhuo-Heng; Qin, Wei-Lu; Wang, Xiang-Xiang 5 2021 Solvability conditions and general solutions to some quaternion matrix equations. Zbl 1479.15011 He, Zhuo-Heng; Wang, Meng 2 2021 On the general solutions to some systems of quaternion matrix equations. Zbl 1436.15017 He, Zhuo-Heng; Wang, Meng; Liu, Xin 7 2020 On the split quaternion matrix equation \(AX=B\). Zbl 1429.15028 Liu, Xin; He, Zhuo-Heng 6 2020 \( \eta \)-Hermitian solution to a system of quaternion matrix equations. Zbl 1452.15007 Liu, Xin; He, Zhuo-Heng 1 2020 Constrained two-sided coupled Sylvester-type quaternion matrix equations. Zbl 1409.15009 Wang, Qing-Wen; He, Zhuo-Heng; Zhang, Yang 35 2019 The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity. Zbl 1423.15016 He, Zhuo-Heng 27 2019 A simultaneous decomposition for seven matrices with applications. Zbl 1404.15011 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 26 2019 Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. Zbl 1409.15017 He, Zhuo-Heng 17 2019 Pure PSVD approach to Sylvester-type quaternion matrix equations. Zbl 1418.15015 He, Zhuo-Heng 16 2019 A system of coupled quaternion matrix equations with seven unknowns and its applications. Zbl 1414.15021 He, Zhuo-Heng 13 2019 Some quaternion matrix equations involving \(\Phi\)-Hermicity. Zbl 1499.15051 He, Zhuo-Heng 6 2019 Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity. Zbl 1435.15022 Liu, Xin; Huang, Huajun; He, Zhuo-Heng 4 2019 A system of quaternary coupled Sylvester-type real quaternion matrix equations. Zbl 1379.93057 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 42 2018 The complete equivalence canonical form of four matrices over an arbitrary division ring. Zbl 1386.15029 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 9 2018 The general \(\phi\)-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations. Zbl 1386.15017 He, Zhuo-Heng; Liu, Jianzhen; Tam, Tin-Yau 33 2017 A system of periodic discrete-time coupled Sylvester quaternion matrix equations. Zbl 1361.15015 He, Zhuoheng; Wang, Qingwen 32 2017 Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications. Zbl 1411.15023 He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang 30 2017 Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices. Zbl 1332.15006 He, Zhuo-Heng; Agudelo, Oscar Mauricio; Wang, Qing-Wen; De Moor, Bart 41 2016 Constraint generalized Sylvester matrix equations. Zbl 1338.93174 Wang, Qing-Wen; Rehman, Abdur; He, Zhuo-Heng; Zhang, Yang 32 2016 The common solution of some matrix equations. Zbl 1348.15012 Wang, Li; Wang, Qingwen; He, Zhuoheng 8 2016 The consistency and the exact solutions to a system of matrix equations. Zbl 1357.15007 Farid, F. O.; He, Zhuo-Heng; Wang, Qing-Wen 6 2016 The general solutions to some systems of matrix equations. Zbl 1334.15040 He, Zhuo-Heng; Wang, Qing-Wen 35 2015 Solution to a system of real quaternion matrix equations encompassing \(\eta\)-Hermicity. Zbl 1410.15034 Rehman, Abdur; Wang, Qing-Wen; He, Zhuo-Heng 24 2015 Systems of coupled generalized Sylvester matrix equations. Zbl 1300.93087 Wang, Qing-Wen; He, Zhuo-Heng 46 2014 The \(\eta\)-bihermitian solution to a system of real quaternion matrix equations. Zbl 1307.15019 He, Zhuo-Heng; Wang, Qing-Wen 33 2014 A pair of mixed generalized Sylvester matrix equations. Zbl 1313.15029 He, Zhuoheng; Wang, Qingwen 11 2014 Solvability conditions and general solution for mixed Sylvester equations. Zbl 1364.15011 Wang, Qing-Wen; He, Zhuo-Heng 68 2013 A real quaternion matrix equation with applications. Zbl 1317.15016 He, Zhuo-Heng; Wang, Qing-Wen 53 2013 A system of matrix equations and its applications. Zbl 1291.15043 Wang, QingWen; He, ZhuoHeng 15 2013 On the Hermitian structures of the solution to a pair of matrix equations. Zbl 1264.15020 Wang, Qing-Wen; Zhang, Xiang; He, Zhuo-Heng 7 2013 Some matrix equations with applications. Zbl 1262.15014 Wang, Qing-Wen; He, Zhuo-Heng 31 2012 Solutions to optimization problems on ranks and inertias of a matrix function with applications. Zbl 1309.15025 He, Zhuo-Heng; Wang, Qing-Wen 8 2012 Light amplification related to collective atomic recoil affected by dipole-dipole collision. Zbl 1118.81474 Zhang, L.; Yang, G. J.; He, Z. H. 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 194 Authors 39 Wang, Qingwen 31 He, ZhuoHeng 16 Kyrchei, Ivan I. 11 Yuan, Shifang 11 Zhang, Yang 10 Rehman, Abdur 9 Li, Ying 9 Song, Caiqin 8 Dehghan Takht Fooladi, Mehdi 8 Hajarian, Masoud 8 Shirilord, Akbar 8 Zhao, Jianli 6 Liu, Xin 6 Ma, Changfeng 6 Mosić, Dijana 6 Wang, Xiangxiang 5 Wang, Wenli 5 Yu, Shaowen 5 Zhang, Fengxia 4 Ali, Ilyas 4 Lv, Lingling 4 Song, Guangjing 4 Stanimirović, Predrag S. 4 Wei, Anli 4 Wei, Musheng 4 Zhang, Xiang 3 Ding, Wenxv 3 Li, Mingzhao 3 Liu, Longsheng 3 Shakoor, Abdul 3 Tian, Yong 3 Xie, Mengyan 3 Zhang, Zhe 2 Chen, Guoliang 2 Chen, Huaxi 2 Cvetković-Ilić, Dragana S. 2 Farid, Farid O. 2 Huang, Baohua 2 Jia, Zhigang 2 Jiang, Hua 2 Li, Shuai 2 Liao, Anping 2 Nie, Xiangrong 2 Qu, Gangrong 2 Radenković, Jovana Nikolov 2 Wang, Hongxing 2 Wang, Long 2 Wang, Meng 2 Wang, Peng 2 Wang, Xiao 2 Yan, Tongxin 2 Yu, Juan 2 Yuan, Yongxin 2 Zhang, Daochang 2 Zhang, Lei 1 Agudelo, Oscar Mauricio 1 Ahmad, Muhammad Ozair 1 Ahmad, Nazihah 1 Ahmadi-Asl, Salman 1 Aliakbari, Mahdi 1 Altavilla, Ademeo 1 Bakhtiari, Zahra 1 Bayoumi, Ahmed M. E. 1 Beik, Fatemeh Panjeh Ali 1 Belkhiri, Radja 1 Cao, Yu-Zhe 1 Chen, Chen 1 Chen, Jinbo 1 Chen, Weijie 1 Chen, Xuesong 1 Chen, Xueying 1 Chen, Zebin 1 Chen, Zhen 1 Da Silva, Sergio Mathew Luis 1 De Moor, Bart L. R. 1 Deng, Ye 1 Ding, Wei 1 Ding, Wenxu 1 Dmytryshyn, Andrii R. 1 Dong, Changzhou 1 Ebadi, Ghodrat 1 Ebadian, Ali 1 Elsayed, Ahmed Abdel Aziz 1 Farokhi-Ostad, Javad 1 Feng, Jun’e 1 Guerarra, Sihem 1 Gungor, Mehmet Ali 1 Guo, Wenbin 1 Hong, Yan 1 Hosseini, Amin 1 Hu, Jianping 1 Hu, Jingjing 1 Huang, Huajun 1 Huang, Junjie 1 Huang, Yimin 1 Ji, Shipu 1 Jin, Jie 1 Jin, Long 1 Jin, Xiaoqing 1 Jin, Yu ...and 94 more Authors all top 5 Cited in 58 Serials 20 Linear and Multilinear Algebra 18 Advances in Applied Clifford Algebras 14 Journal of the Franklin Institute 12 Applied Mathematics and Computation 10 Computational and Applied Mathematics 7 Filomat 6 Computers & Mathematics with Applications 6 Journal of Applied Mathematics 6 Journal of Applied Mathematics and Computing 5 Asian Journal of Control 4 Mathematical Methods in the Applied Sciences 4 Automatica 4 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 4 Algebra Colloquium 4 Abstract and Applied Analysis 4 JP Journal of Algebra, Number Theory and Applications 3 Journal of Scientific Computing 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Mathematical Problems in Engineering 2 Calcolo 2 Facta Universitatis. Series Mathematics and Informatics 2 Taiwanese Journal of Mathematics 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Banach Journal of Mathematical Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Mathematics 2 AIMS Mathematics 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Bulletin of the Iranian Mathematical Society 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Neural Networks 1 International Journal of Computer Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Vibration and Control 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Frontiers of Mathematics in China 1 International Electronic Journal of Algebra (IEJA) 1 Operators and Matrices 1 Advances in Fuzzy Systems 1 Science China. Mathematics 1 International Journal of Nonlinear Analysis and Applications 1 Annals of Functional Analysis 1 Iranian Journal of Mathematical Sciences and Informatics 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 East Asian Journal on Applied Mathematics 1 Special Matrices 1 Open Mathematics 1 Mathematical Foundations of Computing all top 5 Cited in 19 Fields 182 Linear and multilinear algebra; matrix theory (15-XX) 69 Numerical analysis (65-XX) 15 Systems theory; control (93-XX) 11 Number theory (11-XX) 8 Operator theory (47-XX) 5 Associative rings and algebras (16-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Citations by Year