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Author ID: chen.guoliang Recent zbMATH articles by "Chen, Guoliang"
Published as: Chen, Guoliang; Chen, Guo-Liang; Chen, Guo-liang
Further Spellings: 陈果良
Homepage: https://facultyold.ecnu.edu.cn/s/98/t/419/main.jspy
External Links: ResearchGate · dblp
Documents Indexed: 145 Publications since 1986
Co-Authors: 51 Co-Authors with 137 Joint Publications
1,579 Co-Co-Authors
all top 5

Serials

20 Applied Mathematics and Computation
11 Journal of Computational and Applied Mathematics
9 Journal of East China Normal University. Natural Science Edition
7 Computers & Mathematics with Applications
7 Linear Algebra and its Applications
6 Numerical Mathematics
6 International Journal of Computer Mathematics
4 Journal of Mathematical Research & Exposition
4 Applied Mathematics Letters
4 Numerical Algorithms
4 Mathematical Problems in Engineering
3 Mathematica Numerica Sinica
3 Journal of Lanzhou University. Natural Sciences
3 Mathematica Applicata
3 Journal of Inequalities and Applications
3 Journal of Applied Mathematics and Computing
3 East Asian Journal on Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Journal of Computational Mathematics
2 Numerical Linear Algebra with Applications
2 Computational and Applied Mathematics
2 Filomat
2 ETNA. Electronic Transactions on Numerical Analysis
2 Journal of Applied Mathematics
2 Communications in Mathematical Sciences
2 Open Mathematics
1 Journal of the Franklin Institute
1 Linear and Multilinear Algebra
1 Kyungpook Mathematical Journal
1 Chinese Annals of Mathematics. Series A
1 Journal of Northeast Normal University. Natural Science Edition
1 Bulletin of the Iranian Mathematical Society
1 Mathematical and Computer Modelling
1 Applied Mathematical Modelling
1 International Journal of Robust and Nonlinear Control
1 Applied Mathematics
1 Numerical Mathematics
1 Applied Mathematics. Series A (Chinese Edition)
1 Chinese Journal of Numerical Mathematics and Applications
1 Arab Journal of Mathematical Sciences
1 ELA. The Electronic Journal of Linear Algebra
1 Chinese Quarterly Journal of Mathematics
1 Journal of Computational Analysis and Applications
1 Journal of the Australian Mathematical Society
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Shandong University. Natural Science
1 Missouri Journal of Mathematical Sciences
1 Inverse Problems in Science and Engineering
1 Communication on Applied Mathematics and Computation
1 Asian Journal of Control
1 Numerical Algebra, Control and Optimization
1 Journal of Applied Analysis and Computation

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 912 times in 594 Documents Cited by Year
Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application. Zbl 1140.15004
Sheng, Xingping; Chen, Guoliang
49
2007
Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces. Zbl 0903.47004
Chen, Guoliang; Xue, Yifeng
46
1997
Iterative solutions to coupled Sylvester-transpose matrix equations. Zbl 1228.65071
Song, Caiqin; Chen, Guoliang; Zhao, Linlin
36
2011
Perturbation analysis of the least squares solution in Hilbert spaces. Zbl 0863.47011
Chen, Guoliang; Wei, Musheng; Xue, Yifeng
35
1996
A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\). Zbl 1133.65026
Sheng, Xingping; Chen, Guoliang
29
2007
Explicit solutions to the quaternion matrix equations \(X- AXF=C\) and \(X-A\tilde X F=C\). Zbl 1255.15004
Song, Caiqin; Chen, Guoliang; Liu, Qingbing
26
2012
On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field. Zbl 1291.15009
Song, Caiqin; Chen, Guoliang
26
2011
On determinantal representation for the generalized inverse \(A^{(2)}_{T,S}\) and its applications. Zbl 1199.15016
Cai, Jing; Chen, Guoliang
24
2007
The representation and computation of generalized inverse \(A^{(2)}_{T,S}\). Zbl 1135.65021
Sheng, Xingping; Chen, Guoliang; Gong, Yi
23
2008
An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\). Zbl 1190.65061
Cai, Jing; Chen, Guoliang
22
2009
The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces. Zbl 0949.47001
Chen, Guoliang; Xue, Yifeng
21
1998
An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation \(AXB+CYD=E\). Zbl 1190.65071
Sheng, Xingping; Chen, Guoliang
19
2010
Some investigation on Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\). Zbl 1165.15014
Cai, Jing; Chen, Guoliang
18
2009
On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices. Zbl 1262.15022
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
18
2013
On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\). Zbl 1335.15019
Liu, Aijing; Chen, Guoliang
18
2014
Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems. Zbl 1314.65046
Chao, Zhen; Chen, Guoliang
18
2014
Perturbation of least squares problem in Hilbert spaces. Zbl 1038.47006
Wei, Yimin; Chen, Guoliang
17
2001
On preconditioned modified Newton-MHSS method for systems of nonlinear equations with complex symmetric Jacobian matrices. Zbl 1323.65055
Zhong, Hong-Xiu; Chen, Guo-Liang; Guo, Xue-Ping
17
2015
Some equivalent conditions of stable perturbation of operators in Hilbert spaces. Zbl 1060.47018
Xue, Yifeng; Chen, Guoliang
16
2004
A note of computation for M-P inverse \(A^{\dagger }\). Zbl 1208.65051
Sheng, Xingping; Chen, Guoliang
16
2010
Several representations of generalized inverse \(A^{(2)}_{T,S}\) and their application. Zbl 1151.15010
Sheng, Xingping; Chen, Guoliang
14
2008
On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^*X^{-t}A = Q\). Zbl 1201.15005
Cai, Jing; Chen, Guoliang
13
2010
On modified HSS iteration methods for continuous Sylvester equations. Zbl 1410.65130
Zhou, Duanmei; Chen, Guoliang; Cai, Qingyou
13
2015
The generalized weighted Moore-Penrose inverse. Zbl 1142.15006
Sheng, Xingping; Chen, Guoliang
12
2007
On two inequalities for the Hadamard product and the Fan product of matrices. Zbl 1183.15017
Liu, Qingbing; Chen, Guoliang
12
2009
Solving the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1353.15014
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
12
2017
Some inequalities for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix. Zbl 1281.15017
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
12
2013
Some generalized inverses of partition matrix and quotient identity of generalized Schur complement. Zbl 1140.15003
Sheng, Xingping; Chen, Guoliang
11
2008
On the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1361.15019
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
11
2017
Innovation based on Gaussian elimination to compute generalized inverse \(A_{T,S}^{(2)}\). Zbl 1391.65051
Sheng, Xingping; Chen, Guoliang
10
2013
Some new bounds on the spectral radius of matrices. Zbl 1189.15024
Liu, Qingbing; Chen, Guoliang; Zhao, Linlin
10
2010
A flexible and adaptive simpler block GMRES with deflated restarting for linear systems with multiple right-hand sides. Zbl 1309.65038
Zhong, Hong-xiu; Wu, Gang; Chen, Guo-liang
10
2015
On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q\). Zbl 1235.15033
Liu, Aijing; Chen, Guoliang
10
2011
An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations. Zbl 1256.65037
Song, Caiqin; Chen, Guoliang
9
2011
Perturbation theory for the generalized Bott-Duffin inverse and its applications. Zbl 1030.65028
Chen, Guo-Liang; Liu, Guo-Ming; Xue, Yi-Feng
9
2002
An iterative solution to coupled quaternion matrix equations. Zbl 1391.65075
Song, Caiqin; Chen, Guoliang; Zhang, Xiangyun
9
2012
Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\). Zbl 1267.15018
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
9
2012
The generalized condition numbers of bounded linear operators in Banach spaces. Zbl 1072.47011
Chen, Guoliang; Wei, Yimin; Xue, Yifeng
8
2004
Perturbation analysis for a class of fuzzy linear systems. Zbl 1157.15305
Wang, Ke; Chen, Guoliang; Wei, Yimin
8
2009
On solutions of quaternion matrix equations \(XF-AX=BY\) and \(XF-A\widetilde{X}=BY\). Zbl 1274.15032
Song, Caiqin; Chen, Guoliang; Wang, Xiaodong
8
2012
A new method for the bisymmetric minimum norm solution of the consistent matrix equations \(A_1XB_1 = C_1\), \(A_2XB_2 = C_2\). Zbl 1266.65070
Liu, Aijing; Chen, Guoliang; Zhang, Xiangyun
8
2013
On inverse eigenvalue problems for two kinds of special banded matrices. Zbl 1488.15034
Xu, Wei-Ru; Chen, Guo-Liang
8
2017
Optimal control of discrete-time switched linear systems. Zbl 1441.93169
Zhao, Jingang; Gan, Minggang; Chen, Guoliang
8
2020
The computation of Drazin inverse and its application in Markov chains. Zbl 1112.65038
Zhang, Xiangyun; Chen, Guoliang
7
2006
A preconditioned HSS-like iterative method for saddle point problems. Zbl 1313.65063
Liu, Qingbing; Chen, Guoliang; Song, Caiqin
7
2014
A splitting for the \(W\)-weighted Drazin inverse of rectangular matrix. Zbl 0773.65026
Chen, Xuzhou; Chen, Guoliang
7
1993
On the projection-based commuting solutions of the Yang-Baxter matrix equation. Zbl 1459.15021
Zhou, Duanmei; Chen, Guoliang; Yu, Gaohang; Zhong, Jian
7
2018
A note on the generalized Bott-Duffin inverse. Zbl 1137.15004
Deng, Bin; Chen, Guoliang
6
2007
Iterative methods for solving linear matrix equation and linear matrix system. Zbl 1195.65059
Su, Youfeng; Chen, Guoliang
6
2010
The expression of the generalized Bott-Duffin inverse and its perturbation theory. Zbl 1030.15006
Xue, Yifeng; Chen, Guoliang
6
2002
Perturbation analysis of the generalized Bott-Duffin inverse of \(L\)-zero matrices. Zbl 1028.15002
Chen, Guoliang; Liu, Guoming; Xue, Yifeng
6
2002
An inverse eigenvalue problem for pseudo-Jacobi matrices. Zbl 1429.65081
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
6
2019
Minimum property of weighted condition number in matrix perturbation problems. Zbl 0763.65031
Chen, Guoliang
6
1992
On the continuity and perturbation of \(W\)-weighted Drazin inverse. Zbl 0768.15006
Chen, Xuzhou; Chen, Guoliang
6
1992
An iterative method for the least squares solutions of the linear matrix equations with some constraint. Zbl 1241.65037
Cai, Jing; Chen, Guoliang
6
2011
On the nonlinear matrix equation \(X^s+A^*F(X)A=Q\) with \(s\geq 1\). Zbl 1289.15032
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
6
2013
An inverse eigenvalue problem for modified pseudo-Jacobi matrices. Zbl 1459.65052
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
6
2021
A generalized modified HSS method for singular complex symmetric linear systems. Zbl 1350.65022
Chao, Zhen; Chen, Guo-Liang
5
2016
New proofs of two representations and minor of generalized inverse \(A_{T,S}^{(2)}\). Zbl 1215.15005
Sheng, Xingping; Chen, Guoliang
5
2011
Spectral properties of the matrix splitting preconditioners for generalized saddle point problems. Zbl 1377.65040
Huang, Yunying; Chao, Zhen; Chen, Guoliang
5
2018
Perturbation analysis for the Drazin inverse under stable perturbation in Banach space. Zbl 1169.47004
Xue, Yifeng; Chen, Guoliang
4
2007
Some inequalities for the nonlinear matrix equation \(X^s +A^*X^{-t}A = Q\): trace, determinant and eigenvalue. Zbl 1334.15048
Zhou, Duanmei; Chen, Guoliang; Zhang, Xiangyun
4
2013
Inverse problems for \((R,S)\)-symmetric matrices in structural dynamic model updating. Zbl 1443.15013
Xu, Wei-Ru; Chen, Guo-Liang
4
2016
On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
4
2019
A modification of minimal residual iterative method to solve linear systems. Zbl 1184.65040
Sheng, Xingping; Su, Youfeng; Chen, Guoliang
3
2009
Index splitting for the Drazin inverse of linear operator in Banach space. Zbl 1044.47002
Chao, Zhu; Chen, Guoliang
3
2003
An inverse eigenproblem for generalized reflexive matrices with normal \(\{k+1\}\)-potencies. Zbl 1341.65016
Xu, Wei-Ru; Chen, Guo-Liang
3
2016
Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces. Zbl 1055.47001
Zhu, Chao; Cai, Jing; Chen, Guoliang
3
2003
Procrustes problems and inverse eigenproblems for multilevel block \(\alpha\)-circulants. Zbl 1413.15030
Xu, Wei-Ru; Chen, Guoliang; Gong, Yi
3
2016
An iterative method for the bisymmetric solutions of the consistent matrix equations \(A_{1}XB_{1}=C_{1}, A_{2}XB_{2}=C_{2}\). Zbl 1202.65052
Cai, Jing; Chen, Guoliang; Liu, Qingbing
3
2010
Perturbation analysis for the projection of a point onto an affine set in Hilbert spaces. Zbl 1015.47001
Chen, Guoliang; Wei, Yimin
3
1998
Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
3
2019
Submatrix constrained inverse eigenvalue problem involving generalised centrohermitian matrices in vibrating structural model correction. Zbl 1478.65027
Xu, Wei-Ru; Chen, Guo-Liang
3
2016
On the semi-convergence of regularized HSS iteration methods for singular saddle point problems. Zbl 1418.65039
Chao, Zhen; Chen, Guoliang; Guo, Ye
3
2018
Erratum to: “A note on the preconditioned Gauss-Seidel method for \(M\)-matrices”. Zbl 1180.65039
Liu, Qingbing; Chen, Guoliang
2
2009
The computation and perturbation analysis for weighted group inverse of rectangular matrices. Zbl 1178.65039
Sheng, Xingping; Chen, Guoliang
2
2009
On the representation of \(A^+\), \(A_{MN}^+\) and its applications. Zbl 1025.15007
Cai, Jing; Chen, Guoliang
2
2002
A note on semi-convergence of generalized parameterized inexact Uzawa method for singular saddle point problems. Zbl 1312.65041
Chao, Zhen; Chen, Guoliang
2
2015
Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures. Zbl 1415.65096
Xu, Wei-Ru; Chen, Guo-Liang; Gong, Yi
2
2019
A quadratic spline least squares method for computing absolutely continuous invariant measures. Zbl 1412.37075
Chen, Guoliang; Ding, Jiu; Rhee, Noah H.; Zhou, Duanmei
2
2018
A generalized preconditioned parameterized inexact Uzawa method for singular saddle point problems. Zbl 1410.65085
Chao, Zhen; Chen, Guo-Liang
2
2016
An accelerated SOR-like method for generalised saddle point problems. Zbl 1478.65019
Feng, Ting-Ting; Chen, Guo-Liang; Guo, Xue-Ping
2
2018
Solutions to matrix equations \(X - AXB = CY + R\) and \(X - A\hat{X}B = CY + R\). Zbl 1524.15036
Song, Caiqin; Chen, Guoliang
2
2018
A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. Zbl 1510.65074
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
2
2022
An oblique projection iterative method to compute Drazin inverse and group inverse. Zbl 1162.65331
Sheng, Xingping; Chen, Guoliang
1
2009
Research to the solution of matrix equation \(AX=B\), \(XD=E\). Zbl 1103.15009
Sheng, Xingping; Chen, Guoliang
1
2006
The expression of algebraic perturbation of generalized inverse for rectangular matrices. Zbl 1101.15003
Sheng, Xingping; Chen, Guoliang
1
2006
On the parallel GSAOR method for block diagonally dominant matrices. Zbl 1183.65035
Liu, Qingbing; Chen, Guoliang; Huang, Jian
1
2009
Convergence analysis of preconditioned AOR iterative method for linear systems. Zbl 1198.65061
Liu, Qingbing; Chen, Guoliang
1
2010
A unified approach for the recursive computation of weighted generalized inverses. Zbl 1069.65043
Pian, Junsheng; Chen, Guoliang
1
2004
Convergence analysis of the preconditioned Gauss-Seidel method for \(H\)-matrices. Zbl 1165.65333
Liu, Qingbing; Chen, Guoliang; Cai, Jing
1
2008
On the minimum property of condition number for doubly perturbed linear equations. Zbl 0712.65031
Chen, Guoliang; Chen, Dehui
1
1989
Weighted generalized inverses, weighted least squares and equality constrained least squares problems. Zbl 0860.65032
Wei, Musheng; Chen, Guoliang
1
1995
Perturbation bounds for eigenvalues of diagonalizable matrices and singular values. Zbl 1336.65059
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Chen, Xiaoyan
1
2016
The rank inequality for diagonally magic matrices. Zbl 1333.15001
Zhou, Duanmei; Chen, Guoliang; Cai, Qingyou; Chen, Xiaoyan
1
2015
Brief derivation for optimal iteration parameters in the generalized SOR method. Zbl 1313.65055
Chao, Zhen; Zhang, Naimin; Chen, Guoliang
1
2014
A modified ASOR-like method for augmented linear systems. Zbl 1436.65026
Feng, Ting-Ting; Guo, Xue-Ping; Chen, Guo-Liang
1
2019
Structures of \(p\)-isometric matrices and rectangular matrices with minimum \(p\)-norm condition number. Zbl 0777.15003
Wang, Cheng; Zheng, Dao-Sheng; Chen, Guo-Liang; Zhao, Shu-Qin
1
1993
The perturbation theory for the \(N\)-norm, \(M\)-weighted least squares problem. Zbl 0786.15007
Wei, Musheng; Chen, Guoliang
1
1993
Thick restarting the weighted harmonic Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem. Zbl 1431.65049
Zhong, Hong-Xiu; Chen, Guo-Liang
1
2019
A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. Zbl 1510.65074
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
2
2022
An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices. Zbl 1480.65088
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
1
2022
How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable? Zbl 1486.81162
Xu, Wei-Ru; Gong, Yi; Bebiano, Natália; Chen, Guo-Liang
1
2022
An inverse eigenvalue problem for modified pseudo-Jacobi matrices. Zbl 1459.65052
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
6
2021
Optimal control of discrete-time switched linear systems. Zbl 1441.93169
Zhao, Jingang; Gan, Minggang; Chen, Guoliang
8
2020
An inverse eigenvalue problem for pseudo-Jacobi matrices. Zbl 1429.65081
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
6
2019
On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
4
2019
Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
3
2019
Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures. Zbl 1415.65096
Xu, Wei-Ru; Chen, Guo-Liang; Gong, Yi
2
2019
A modified ASOR-like method for augmented linear systems. Zbl 1436.65026
Feng, Ting-Ting; Guo, Xue-Ping; Chen, Guo-Liang
1
2019
Thick restarting the weighted harmonic Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem. Zbl 1431.65049
Zhong, Hong-Xiu; Chen, Guo-Liang
1
2019
Semi-local convergence of the Newton-HSS method under the center Lipschitz condition. Zbl 1422.65064
Zhong, Hongxiu; Chen, Guoliang; Guo, Xueping
1
2019
A generalised CRI iteration method for complex symmetric linear systems. Zbl 1462.65035
Huang, Yunying; Chen, Guoliang
1
2019
Solving the Yang-Baxter-like matrix equation with non-diagonalizable elementary matrices. Zbl 1415.15017
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu; Tian, Haiyan
1
2019
On the projection-based commuting solutions of the Yang-Baxter matrix equation. Zbl 1459.15021
Zhou, Duanmei; Chen, Guoliang; Yu, Gaohang; Zhong, Jian
7
2018
Spectral properties of the matrix splitting preconditioners for generalized saddle point problems. Zbl 1377.65040
Huang, Yunying; Chao, Zhen; Chen, Guoliang
5
2018
On the semi-convergence of regularized HSS iteration methods for singular saddle point problems. Zbl 1418.65039
Chao, Zhen; Chen, Guoliang; Guo, Ye
3
2018
A quadratic spline least squares method for computing absolutely continuous invariant measures. Zbl 1412.37075
Chen, Guoliang; Ding, Jiu; Rhee, Noah H.; Zhou, Duanmei
2
2018
An accelerated SOR-like method for generalised saddle point problems. Zbl 1478.65019
Feng, Ting-Ting; Chen, Guo-Liang; Guo, Xue-Ping
2
2018
Solutions to matrix equations \(X - AXB = CY + R\) and \(X - A\hat{X}B = CY + R\). Zbl 1524.15036
Song, Caiqin; Chen, Guoliang
2
2018
A relaxed block splitting preconditioner for complex symmetric indefinite linear systems. Zbl 1388.65033
Huang, Yunying; Chen, Guoliang
1
2018
Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation \(AXA^{\mathrm{H}}+CYC^{\mathrm{H}}=F\). Zbl 1417.65125
Xu, Wei-Ru; Chen, Guo-Liang; Sheng, Xing-Ping
1
2018
Solving the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1353.15014
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
12
2017
On the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1361.15019
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
11
2017
On inverse eigenvalue problems for two kinds of special banded matrices. Zbl 1488.15034
Xu, Wei-Ru; Chen, Guo-Liang
8
2017
A generalized modified HSS method for singular complex symmetric linear systems. Zbl 1350.65022
Chao, Zhen; Chen, Guo-Liang
5
2016
Inverse problems for \((R,S)\)-symmetric matrices in structural dynamic model updating. Zbl 1443.15013
Xu, Wei-Ru; Chen, Guo-Liang
4
2016
An inverse eigenproblem for generalized reflexive matrices with normal \(\{k+1\}\)-potencies. Zbl 1341.65016
Xu, Wei-Ru; Chen, Guo-Liang
3
2016
Procrustes problems and inverse eigenproblems for multilevel block \(\alpha\)-circulants. Zbl 1413.15030
Xu, Wei-Ru; Chen, Guoliang; Gong, Yi
3
2016
Submatrix constrained inverse eigenvalue problem involving generalised centrohermitian matrices in vibrating structural model correction. Zbl 1478.65027
Xu, Wei-Ru; Chen, Guo-Liang
3
2016
A generalized preconditioned parameterized inexact Uzawa method for singular saddle point problems. Zbl 1410.65085
Chao, Zhen; Chen, Guo-Liang
2
2016
Perturbation bounds for eigenvalues of diagonalizable matrices and singular values. Zbl 1336.65059
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Chen, Xiaoyan
1
2016
On preconditioned modified Newton-MHSS method for systems of nonlinear equations with complex symmetric Jacobian matrices. Zbl 1323.65055
Zhong, Hong-Xiu; Chen, Guo-Liang; Guo, Xue-Ping
17
2015
On modified HSS iteration methods for continuous Sylvester equations. Zbl 1410.65130
Zhou, Duanmei; Chen, Guoliang; Cai, Qingyou
13
2015
A flexible and adaptive simpler block GMRES with deflated restarting for linear systems with multiple right-hand sides. Zbl 1309.65038
Zhong, Hong-xiu; Wu, Gang; Chen, Guo-liang
10
2015
A note on semi-convergence of generalized parameterized inexact Uzawa method for singular saddle point problems. Zbl 1312.65041
Chao, Zhen; Chen, Guoliang
2
2015
The rank inequality for diagonally magic matrices. Zbl 1333.15001
Zhou, Duanmei; Chen, Guoliang; Cai, Qingyou; Chen, Xiaoyan
1
2015
On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\). Zbl 1335.15019
Liu, Aijing; Chen, Guoliang
18
2014
Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems. Zbl 1314.65046
Chao, Zhen; Chen, Guoliang
18
2014
A preconditioned HSS-like iterative method for saddle point problems. Zbl 1313.65063
Liu, Qingbing; Chen, Guoliang; Song, Caiqin
7
2014
Brief derivation for optimal iteration parameters in the generalized SOR method. Zbl 1313.65055
Chao, Zhen; Zhang, Naimin; Chen, Guoliang
1
2014
On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices. Zbl 1262.15022
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
18
2013
Some inequalities for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix. Zbl 1281.15017
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
12
2013
Innovation based on Gaussian elimination to compute generalized inverse \(A_{T,S}^{(2)}\). Zbl 1391.65051
Sheng, Xingping; Chen, Guoliang
10
2013
A new method for the bisymmetric minimum norm solution of the consistent matrix equations \(A_1XB_1 = C_1\), \(A_2XB_2 = C_2\). Zbl 1266.65070
Liu, Aijing; Chen, Guoliang; Zhang, Xiangyun
8
2013
On the nonlinear matrix equation \(X^s+A^*F(X)A=Q\) with \(s\geq 1\). Zbl 1289.15032
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
6
2013
Some inequalities for the nonlinear matrix equation \(X^s +A^*X^{-t}A = Q\): trace, determinant and eigenvalue. Zbl 1334.15048
Zhou, Duanmei; Chen, Guoliang; Zhang, Xiangyun
4
2013
Explicit solutions to the quaternion matrix equations \(X- AXF=C\) and \(X-A\tilde X F=C\). Zbl 1255.15004
Song, Caiqin; Chen, Guoliang; Liu, Qingbing
26
2012
An iterative solution to coupled quaternion matrix equations. Zbl 1391.65075
Song, Caiqin; Chen, Guoliang; Zhang, Xiangyun
9
2012
Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\). Zbl 1267.15018
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun
9
2012
On solutions of quaternion matrix equations \(XF-AX=BY\) and \(XF-A\widetilde{X}=BY\). Zbl 1274.15032
Song, Caiqin; Chen, Guoliang; Wang, Xiaodong
8
2012
Iterative solutions to coupled Sylvester-transpose matrix equations. Zbl 1228.65071
Song, Caiqin; Chen, Guoliang; Zhao, Linlin
36
2011
On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field. Zbl 1291.15009
Song, Caiqin; Chen, Guoliang
26
2011
On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q\). Zbl 1235.15033
Liu, Aijing; Chen, Guoliang
10
2011
An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations. Zbl 1256.65037
Song, Caiqin; Chen, Guoliang
9
2011
An iterative method for the least squares solutions of the linear matrix equations with some constraint. Zbl 1241.65037
Cai, Jing; Chen, Guoliang
6
2011
New proofs of two representations and minor of generalized inverse \(A_{T,S}^{(2)}\). Zbl 1215.15005
Sheng, Xingping; Chen, Guoliang
5
2011
An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation \(AXB+CYD=E\). Zbl 1190.65071
Sheng, Xingping; Chen, Guoliang
19
2010
A note of computation for M-P inverse \(A^{\dagger }\). Zbl 1208.65051
Sheng, Xingping; Chen, Guoliang
16
2010
On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^*X^{-t}A = Q\). Zbl 1201.15005
Cai, Jing; Chen, Guoliang
13
2010
Some new bounds on the spectral radius of matrices. Zbl 1189.15024
Liu, Qingbing; Chen, Guoliang; Zhao, Linlin
10
2010
Iterative methods for solving linear matrix equation and linear matrix system. Zbl 1195.65059
Su, Youfeng; Chen, Guoliang
6
2010
An iterative method for the bisymmetric solutions of the consistent matrix equations \(A_{1}XB_{1}=C_{1}, A_{2}XB_{2}=C_{2}\). Zbl 1202.65052
Cai, Jing; Chen, Guoliang; Liu, Qingbing
3
2010
Convergence analysis of preconditioned AOR iterative method for linear systems. Zbl 1198.65061
Liu, Qingbing; Chen, Guoliang
1
2010
An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\). Zbl 1190.65061
Cai, Jing; Chen, Guoliang
22
2009
Some investigation on Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\). Zbl 1165.15014
Cai, Jing; Chen, Guoliang
18
2009
On two inequalities for the Hadamard product and the Fan product of matrices. Zbl 1183.15017
Liu, Qingbing; Chen, Guoliang
12
2009
Perturbation analysis for a class of fuzzy linear systems. Zbl 1157.15305
Wang, Ke; Chen, Guoliang; Wei, Yimin
8
2009
A modification of minimal residual iterative method to solve linear systems. Zbl 1184.65040
Sheng, Xingping; Su, Youfeng; Chen, Guoliang
3
2009
Erratum to: “A note on the preconditioned Gauss-Seidel method for \(M\)-matrices”. Zbl 1180.65039
Liu, Qingbing; Chen, Guoliang
2
2009
The computation and perturbation analysis for weighted group inverse of rectangular matrices. Zbl 1178.65039
Sheng, Xingping; Chen, Guoliang
2
2009
An oblique projection iterative method to compute Drazin inverse and group inverse. Zbl 1162.65331
Sheng, Xingping; Chen, Guoliang
1
2009
On the parallel GSAOR method for block diagonally dominant matrices. Zbl 1183.65035
Liu, Qingbing; Chen, Guoliang; Huang, Jian
1
2009
The representation and computation of generalized inverse \(A^{(2)}_{T,S}\). Zbl 1135.65021
Sheng, Xingping; Chen, Guoliang; Gong, Yi
23
2008
Several representations of generalized inverse \(A^{(2)}_{T,S}\) and their application. Zbl 1151.15010
Sheng, Xingping; Chen, Guoliang
14
2008
Some generalized inverses of partition matrix and quotient identity of generalized Schur complement. Zbl 1140.15003
Sheng, Xingping; Chen, Guoliang
11
2008
Convergence analysis of the preconditioned Gauss-Seidel method for \(H\)-matrices. Zbl 1165.65333
Liu, Qingbing; Chen, Guoliang; Cai, Jing
1
2008
Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application. Zbl 1140.15004
Sheng, Xingping; Chen, Guoliang
49
2007
A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\). Zbl 1133.65026
Sheng, Xingping; Chen, Guoliang
29
2007
On determinantal representation for the generalized inverse \(A^{(2)}_{T,S}\) and its applications. Zbl 1199.15016
Cai, Jing; Chen, Guoliang
24
2007
The generalized weighted Moore-Penrose inverse. Zbl 1142.15006
Sheng, Xingping; Chen, Guoliang
12
2007
A note on the generalized Bott-Duffin inverse. Zbl 1137.15004
Deng, Bin; Chen, Guoliang
6
2007
Perturbation analysis for the Drazin inverse under stable perturbation in Banach space. Zbl 1169.47004
Xue, Yifeng; Chen, Guoliang
4
2007
The computation of Drazin inverse and its application in Markov chains. Zbl 1112.65038
Zhang, Xiangyun; Chen, Guoliang
7
2006
Research to the solution of matrix equation \(AX=B\), \(XD=E\). Zbl 1103.15009
Sheng, Xingping; Chen, Guoliang
1
2006
The expression of algebraic perturbation of generalized inverse for rectangular matrices. Zbl 1101.15003
Sheng, Xingping; Chen, Guoliang
1
2006
Some equivalent conditions of stable perturbation of operators in Hilbert spaces. Zbl 1060.47018
Xue, Yifeng; Chen, Guoliang
16
2004
The generalized condition numbers of bounded linear operators in Banach spaces. Zbl 1072.47011
Chen, Guoliang; Wei, Yimin; Xue, Yifeng
8
2004
A unified approach for the recursive computation of weighted generalized inverses. Zbl 1069.65043
Pian, Junsheng; Chen, Guoliang
1
2004
Index splitting for the Drazin inverse of linear operator in Banach space. Zbl 1044.47002
Chao, Zhu; Chen, Guoliang
3
2003
Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces. Zbl 1055.47001
Zhu, Chao; Cai, Jing; Chen, Guoliang
3
2003
Perturbation theory for the generalized Bott-Duffin inverse and its applications. Zbl 1030.65028
Chen, Guo-Liang; Liu, Guo-Ming; Xue, Yi-Feng
9
2002
The expression of the generalized Bott-Duffin inverse and its perturbation theory. Zbl 1030.15006
Xue, Yifeng; Chen, Guoliang
6
2002
Perturbation analysis of the generalized Bott-Duffin inverse of \(L\)-zero matrices. Zbl 1028.15002
Chen, Guoliang; Liu, Guoming; Xue, Yifeng
6
2002
On the representation of \(A^+\), \(A_{MN}^+\) and its applications. Zbl 1025.15007
Cai, Jing; Chen, Guoliang
2
2002
Perturbation of least squares problem in Hilbert spaces. Zbl 1038.47006
Wei, Yimin; Chen, Guoliang
17
2001
The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces. Zbl 0949.47001
Chen, Guoliang; Xue, Yifeng
21
1998
Perturbation analysis for the projection of a point onto an affine set in Hilbert spaces. Zbl 1015.47001
Chen, Guoliang; Wei, Yimin
3
1998
Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces. Zbl 0903.47004
Chen, Guoliang; Xue, Yifeng
46
1997
Perturbation analysis of the least squares solution in Hilbert spaces. Zbl 0863.47011
Chen, Guoliang; Wei, Musheng; Xue, Yifeng
35
1996
...and 7 more Documents
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Cited by 634 Authors

44 Chen, Guoliang
35 Stanimirović, Predrag S.
33 Ma, Changfeng
26 Wei, Yimin
19 Wang, Qingwen
14 He, ZhuoHeng
14 Ma, Haifeng
13 Huang, Qianglian
13 Xu, Weiru
12 Liu, Xiaoji
12 Sheng, Xingping
12 Song, Guangjing
12 Wu, Qingbiao
11 Song, Caiqin
10 Ding, Jiu
10 Huang, Baohua
10 Ji, Jun
10 Xue, Yifeng
10 Zhang, Huamin
9 Gupta, Dharmendra Kumar
9 Katsikis, Vasilios N.
9 Mosić, Dijana
9 Srivastava, Shwetabh
9 Yuan, Shifang
9 Zhao, Jianxing
9 Zhou, Duanmei
8 Bebiano, Natália Isabel Quadros
8 Hajarian, Masoud
8 Kyrchei, Ivan I.
7 Sang, Caili
7 Zhao, Jianli
6 Ćirić, Miroslav D.
6 Khojasteh Salkuyeh, Davod
6 Li, Ying
6 Wei, Musheng
6 Zhu, Lanping
5 Beik, Fatemeh Panjeh Ali
5 Deng, Chunyuan
5 Du, Fapeng
5 Gil’, Michael Iosif
5 Huang, Guang-Xin
5 Huang, Na
5 Huang, Ting-Zhu
5 Ke, Yifen
5 Li, Jing
5 Liu, Jianzhou
5 Liu, Qingbing
5 Pappas, Dimitrios
5 Wang, Xuezhong
5 Wang, Yuwen
5 Yin, Feng
5 Yin, Hongcai
5 Yu, Shaowen
5 Yu, Yaoming
4 Behera, Ratikanta
4 Cai, Jing
4 Dehghan Takht Fooladi, Mehdi
4 Gao, Xingbao
4 Hossein, Sk. Monowar
4 Huang, Zhengge
4 Li, Chengliang
4 Li, Xu
4 Li, Yongshu
4 Liao, Anping
4 Liu, Aijing
4 Liu, Xin
4 Ma, Jie
4 Ma, Jipu
4 Petković, Marko D.
4 Sahoo, Jajati Keshari
4 Sendra, Juan Rafael
4 Sendra, Juana
4 Soleymani, Fazlollah
4 Wang, Gang
4 Wang, Xiaodong
4 Xiao, Xiaoyong
4 Yan, Tongxin
4 Zhang, Xiangyun
4 Zheng, Bing
4 Zhong, Hongxiu
3 Bose, Snehasish
3 Cao, Jianbing
3 Cao, Yang
3 Carpentieri, Bruno
3 Chen, Cairong
3 Chen, Fang
3 Chen, Jianlong
3 Chen, Minhong
3 Chiang, Chun-Yueh
3 Ding, Feng
3 Ding, Wenxv
3 Du, Hongke
3 Duan, Xuefeng
3 Erfanifar, Raziyeh
3 Fan, Hongtao
3 Feng, Jun’e
3 Gao, Yuefeng
3 Guo, Xueping
3 Li, Mingzhao
3 Li, Shengkun
...and 534 more Authors
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Cited in 133 Serials

72 Applied Mathematics and Computation
35 Computers & Mathematics with Applications
34 Linear and Multilinear Algebra
31 Linear Algebra and its Applications
31 Journal of Applied Mathematics and Computing
30 Computational and Applied Mathematics
23 Journal of Computational and Applied Mathematics
20 International Journal of Computer Mathematics
18 Abstract and Applied Analysis
16 Filomat
15 Numerical Algorithms
15 Journal of Inequalities and Applications
14 Journal of the Franklin Institute
10 Applied Mathematics Letters
9 Bulletin of the Iranian Mathematical Society
9 Advances in Applied Clifford Algebras
8 Numerical Functional Analysis and Optimization
8 Journal of Applied Mathematics
7 Journal of Mathematical Analysis and Applications
7 Numerical Linear Algebra with Applications
6 Mathematical Methods in the Applied Sciences
5 Applied Mathematical Modelling
5 Mathematical Problems in Engineering
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 East Asian Journal on Applied Mathematics
5 Open Mathematics
4 Calcolo
4 Soft Computing
4 Journal of the Australian Mathematical Society
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Journal of Applied Analysis and Computation
3 ELA. The Electronic Journal of Linear Algebra
3 Acta Mathematica Sinica. English Series
3 Inverse Problems in Science and Engineering
3 Frontiers of Mathematics in China
3 Banach Journal of Mathematical Analysis
3 AIMS Mathematics
2 Czechoslovak Mathematical Journal
2 Applied Numerical Mathematics
2 Turkish Journal of Mathematics
2 Complexity
2 Taiwanese Journal of Mathematics
2 Sādhanā
2 Advances in Difference Equations
2 Asian Journal of Control
1 Communications in Algebra
1 Indian Journal of Pure & Applied Mathematics
1 Rocky Mountain Journal of Mathematics
1 Automatica
1 BIT
1 Demonstratio Mathematica
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Meccanica
1 Proceedings of the American Mathematical Society
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Mathematica Numerica Sinica
1 Bulletin of the Korean Mathematical Society
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series A
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Neural Computation
1 Applications of Mathematics
1 Journal of Global Optimization
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 The Journal of Analysis
1 Journal of Mathematical Sciences (New York)
1 Journal of the Egyptian Mathematical Society
1 Georgian Mathematical Journal
1 Journal of Inverse and Ill-Posed Problems
1 ETNA. Electronic Transactions on Numerical Analysis
1 Mathematical Communications
1 Multibody System Dynamics
1 Nonlinear Dynamics
1 Optimization Methods & Software
1 Chaos
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Iranian Journal of Science and Technology. Transaction A: Science
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of Numerical Mathematics
1 Journal of Intelligent and Fuzzy Systems
1 Hacettepe Journal of Mathematics and Statistics
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling
1 AKCE International Journal of Graphs and Combinatorics
1 Journal of Industrial and Management Optimization
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Fixed Point Theory and Applications
...and 33 more Serials
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Cited in 37 Fields

422 Linear and multilinear algebra; matrix theory (15-XX)
330 Numerical analysis (65-XX)
93 Operator theory (47-XX)
21 Systems theory; control (93-XX)
16 Functional analysis (46-XX)
15 Associative rings and algebras (16-XX)
13 Computer science (68-XX)
8 Operations research, mathematical programming (90-XX)
5 Combinatorics (05-XX)
5 Ordinary differential equations (34-XX)
5 Partial differential equations (35-XX)
4 Approximations and expansions (41-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Functions of a complex variable (30-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Quantum theory (81-XX)
1 Biology and other natural sciences (92-XX)

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