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Author ID: he.zhuoheng Recent zbMATH articles by "He, ZhuoHeng"
Published as: He, Zhuo-Heng; He, Zhuoheng; He, Zhuo Heng; He, ZhuoHeng

Publications by Year

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 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

Citations by Year