Edit Profile (opens in new tab) Chen, Guoliang Co-Author Distance Author ID: chen.guoliang Published as: Chen, Guoliang; Chen, Guo-Liang; Chen, Guo-liang more...less Further Spellings: 陈果良 Homepage: https://facultyold.ecnu.edu.cn/s/98/t/419/main.jspy External Links: ResearchGate · dblp Documents Indexed: 144 Publications since 1986 Co-Authors: 51 Co-Authors with 137 Joint Publications 1,442 Co-Co-Authors all top 5 Co-Authors 4 single-authored 20 Sheng, Xingping 18 Xu, Weiru 13 Cai, Jing 13 Zhou, Duanmei 9 Liu, Qingbing 9 Song, Caiqin 9 Xue, Yifeng 9 Zhang, Xiangyun 7 Bebiano, Natália Isabel Quadros 7 Chao, Zhen 7 Wei, Musheng 6 Gong, Yi 6 Zhong, Hongxiu 5 Guo, Xueping 5 Wu, Guoxing 5 Zhao, Linlin 4 Chen, Xuzhou 4 Ding, Jiu 4 Wei, Yimin 3 Huang, Yunying 3 Liu, Aijing 3 Su, Youfeng 2 Cai, Qingyou 2 Cao, Liqiong 2 Chen, Xiaoyan 2 Deng, Bin 2 Feng, Tingting 2 Liu, Guoming 2 Pian, Junsheng 2 Wang, Cheng 2 Zhu, Chao 1 Chang, Guobin 1 Chao, Zhu 1 Chen, Chao 1 Chen, Dehui 1 Ding, Xintao 1 Gan, Minggang 1 Gu, Yunhai 1 Guo, Ye 1 Huang, Jian 1 Huang, Yunying 1 Liu, Yonghui 1 Luo, Fei 1 Rhee, Noah H. 1 Tian, Haiyan 1 Wang, Chang 1 Wang, Ke 1 Wang, Xiaodong 1 Wu, Gang 1 Yong, Jinjun 1 Yu, Gaohang 1 Zhang, Naimin 1 Zhang, Shubi 1 Zhao, Jianli 1 Zhao, Jingang 1 Zhao, Shuqin 1 Zheng, Bing 1 Zheng, Daosheng 1 Zhong, Jian 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 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 all top 5 Fields 95 Linear and multilinear algebra; matrix theory (15-XX) 89 Numerical analysis (65-XX) 17 Operator theory (47-XX) 2 Associative rings and algebras (16-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 852 times in 563 Documents Cited by ▼ Year ▼ Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application. Zbl 1140.15004 Sheng, Xingping; Chen, Guoliang 47 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 34 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 24 2012 The representation and computation of generalized inverse \(A^{(2)}_{T,S}\). Zbl 1135.65021 Sheng, Xingping; Chen, Guoliang; Gong, Yi 22 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 21 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 On determinantal representation for the generalized inverse \(A^{(2)}_{T,S}\) and its applications. Zbl 1199.15016 Cai, Jing; Chen, Guoliang 21 2007 On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field. Zbl 1291.15009 Song, Caiqin; Chen, Guoliang 20 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 18 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 Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems. Zbl 1314.65046 Chao, Zhen; Chen, Guoliang 17 2014 Some equivalent conditions of stable perturbation of operators in Hilbert spaces. Zbl 1060.47018 Xue, Yifeng; Chen, Guoliang 16 2004 Perturbation of least squares problem in Hilbert spaces. Zbl 1038.47006 Wei, Yimin; Chen, Guoliang 15 2001 A note of computation for M-P inverse \(A^{\dagger }\). Zbl 1208.65051 Sheng, Xingping; Chen, Guoliang 15 2010 Several representations of generalized inverse \(A^{(2)}_{T,S}\) and their application. Zbl 1151.15010 Sheng, Xingping; Chen, Guoliang 14 2008 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 14 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 13 2014 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 Some generalized inverses of partition matrix and quotient identity of generalized Schur complement. Zbl 1140.15003 Sheng, Xingping; Chen, Guoliang 11 2008 Solving the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1353.15014 Zhou, Duanmei; Chen, Guoliang; Ding, Jiu 11 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 11 2013 On the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1361.15019 Zhou, Duanmei; Chen, Guoliang; Ding, Jiu 10 2017 An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations. Zbl 1256.65037 Song, Caiqin; Chen, Guoliang 9 2011 Some new bounds on the spectral radius of matrices. Zbl 1189.15024 Liu, Qingbing; Chen, Guoliang; Zhao, Linlin 9 2010 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 Innovation based on Gaussian elimination to compute generalized inverse \(A_{T,S}^{(2)}\). Zbl 1391.65051 Sheng, Xingping; Chen, Guoliang 9 2013 Perturbation theory for the generalized Bott-Duffin inverse and its applications. Zbl 1030.65028 Chen, Guo-Liang; Liu, Guo-Ming; Xue, Yi-Feng 8 2002 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 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 8 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 8 2011 An iterative solution to coupled quaternion matrix equations. Zbl 1391.65075 Song, Caiqin; Chen, Guoliang; Zhang, Xiangyun 8 2012 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 On the continuity and perturbation of \(W\)-weighted Drazin inverse. Zbl 0768.15006 Chen, Xuzhou; Chen, Guoliang 6 1992 A note on the generalized Bott-Duffin inverse. Zbl 1137.15004 Deng, Bin; Chen, Guoliang 6 2007 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 Iterative methods for solving linear matrix equation and linear matrix system. Zbl 1195.65059 Su, Youfeng; Chen, Guoliang 6 2010 Minimum property of weighted condition number in matrix perturbation problems. Zbl 0763.65031 Chen, Guoliang 6 1992 A splitting for the \(W\)-weighted Drazin inverse of rectangular matrix. Zbl 0773.65026 Chen, Xuzhou; Chen, Guoliang 6 1993 On solutions of quaternion matrix equations \(XF-AX=BY\) and \(XF-A\widetilde{X}=BY\). Zbl 1274.15032 Song, Caiqin; Chen, Guoliang; Wang, Xiaodong 6 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 6 2013 An inverse eigenvalue problem for pseudo-Jacobi matrices. Zbl 1429.65081 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 6 2019 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 On inverse eigenvalue problems for two kinds of special banded matrices. Zbl 1488.15034 Xu, Wei-Ru; Chen, Guo-Liang 6 2017 New proofs of two representations and minor of generalized inverse \(A_{T,S}^{(2)}\). Zbl 1215.15005 Sheng, Xingping; Chen, Guoliang 5 2011 The expression of the generalized Bott-Duffin inverse and its perturbation theory. Zbl 1030.15006 Xue, Yifeng; Chen, Guoliang 5 2002 Perturbation analysis of the generalized Bott-Duffin inverse of \(L\)-zero matrices. Zbl 1028.15002 Chen, Guoliang; Liu, Guoming; Xue, Yifeng 5 2002 Spectral properties of the matrix splitting preconditioners for generalized saddle point problems. Zbl 1377.65040 Huang, Yunying; Chao, Zhen; Chen, Guoliang 5 2018 An inverse eigenvalue problem for modified pseudo-Jacobi matrices. Zbl 1459.65052 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 5 2021 A generalized modified HSS method for singular complex symmetric linear systems. Zbl 1350.65022 Chao, Zhen; Chen, Guo-Liang 5 2016 On the projection-based commuting solutions of the Yang-Baxter matrix equation. Zbl 1459.15021 Zhou, Duanmei; Chen, Guoliang; Yu, Gaohang; Zhong, Jian 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 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 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 analysis for the projection of a point onto an affine set in Hilbert spaces. Zbl 1015.47001 Chen, Guoliang; Wei, Yimin 3 1998 A modification of minimal residual iterative method to solve linear systems. Zbl 1184.65040 Sheng, Xingping; Su, Youfeng; Chen, Guoliang 3 2009 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 An inverse eigenproblem for generalized reflexive matrices with normal \(\{k+1\}\)-potencies. Zbl 1341.65016 Xu, Wei-Ru; Chen, Guo-Liang 3 2016 Inverse problems for \((R,S)\)-symmetric matrices in structural dynamic model updating. Zbl 1443.15013 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 Index splitting for the Drazin inverse of linear operator in Banach space. Zbl 1044.47002 Chao, Zhu; Chen, Guoliang 2 2003 The computation and perturbation analysis for weighted group inverse of rectangular matrices. Zbl 1178.65039 Sheng, Xingping; Chen, Guoliang 2 2009 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 On the representation of \(A^+\), \(A_{MN}^+\) and its applications. Zbl 1025.15007 Cai, Jing; Chen, Guoliang 2 2002 A generalized preconditioned parameterized inexact Uzawa method for singular saddle point problems. Zbl 1410.65085 Chao, Zhen; Chen, Guo-Liang 2 2016 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 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 2 2010 An accelerated SOR-like method for generalised saddle point problems. Zbl 1478.65019 Feng, Ting-Ting; Chen, Guo-Liang; Guo, Xue-Ping 2 2018 Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 2 2019 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 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 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 expression of algebraic perturbation of generalized inverse for rectangular matrices. Zbl 1101.15003 Sheng, Xingping; Chen, Guoliang 1 2006 Research to the solution of matrix equation \(AX=B\), \(XD=E\). Zbl 1103.15009 Sheng, Xingping; Chen, Guoliang 1 2006 A unified approach for the recursive computation of weighted generalized inverses. Zbl 1069.65043 Pian, Junsheng; Chen, Guoliang 1 2004 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 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 Convergence analysis of the preconditioned Gauss-Seidel method for \(H\)-matrices. Zbl 1165.65333 Liu, Qingbing; Chen, Guoliang; Cai, Jing 1 2008 The rank inequality for diagonally magic matrices. Zbl 1333.15001 Zhou, Duanmei; Chen, Guoliang; Cai, Qingyou; Chen, Xiaoyan 1 2015 Perturbation bounds for eigenvalues of diagonalizable matrices and singular values. Zbl 1336.65059 Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Chen, Xiaoyan 1 2016 A modified ASOR-like method for augmented linear systems. Zbl 1436.65026 Feng, Ting-Ting; Guo, Xue-Ping; 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 Convergence analysis of preconditioned AOR iterative method for linear systems. Zbl 1198.65061 Liu, Qingbing; Chen, Guoliang 1 2010 An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices. Zbl 1480.65088 Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 1 2022 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 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 A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. Zbl 1510.65074 Xu, Wei-Ru; 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 5 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 2 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 Semi-local convergence of the Newton-HSS method under the center Lipschitz condition. Zbl 1422.65064 Zhong, Hongxiu; Chen, Guoliang; Guo, Xueping 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 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 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 projection-based commuting solutions of the Yang-Baxter matrix equation. Zbl 1459.15021 Zhou, Duanmei; Chen, Guoliang; Yu, Gaohang; Zhong, Jian 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 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 11 2017 On the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1361.15019 Zhou, Duanmei; Chen, Guoliang; Ding, Jiu 10 2017 On inverse eigenvalue problems for two kinds of special banded matrices. Zbl 1488.15034 Xu, Wei-Ru; Chen, Guo-Liang 6 2017 A generalized modified HSS method for singular complex symmetric linear systems. Zbl 1350.65022 Chao, Zhen; Chen, Guo-Liang 5 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 An inverse eigenproblem for generalized reflexive matrices with normal \(\{k+1\}\)-potencies. Zbl 1341.65016 Xu, Wei-Ru; Chen, Guo-Liang 3 2016 Inverse problems for \((R,S)\)-symmetric matrices in structural dynamic model updating. Zbl 1443.15013 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 14 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 8 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 Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems. Zbl 1314.65046 Chao, Zhen; Chen, Guoliang 17 2014 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 13 2014 A preconditioned HSS-like iterative method for saddle point problems. Zbl 1313.65063 Liu, Qingbing; Chen, Guoliang; Song, Caiqin 7 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 11 2013 Innovation based on Gaussian elimination to compute generalized inverse \(A_{T,S}^{(2)}\). Zbl 1391.65051 Sheng, Xingping; Chen, Guoliang 9 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 6 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 24 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 An iterative solution to coupled quaternion matrix equations. Zbl 1391.65075 Song, Caiqin; Chen, Guoliang; Zhang, Xiangyun 8 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 6 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 20 2011 An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations. Zbl 1256.65037 Song, Caiqin; Chen, Guoliang 9 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 8 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 18 2010 A note of computation for M-P inverse \(A^{\dagger }\). Zbl 1208.65051 Sheng, Xingping; Chen, Guoliang 15 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 9 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 2 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 21 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 22 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 47 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 21 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 The expression of algebraic perturbation of generalized inverse for rectangular matrices. Zbl 1101.15003 Sheng, Xingping; Chen, Guoliang 1 2006 Research to the solution of matrix equation \(AX=B\), \(XD=E\). Zbl 1103.15009 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 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 Index splitting for the Drazin inverse of linear operator in Banach space. Zbl 1044.47002 Chao, Zhu; Chen, Guoliang 2 2003 Perturbation theory for the generalized Bott-Duffin inverse and its applications. Zbl 1030.65028 Chen, Guo-Liang; Liu, Guo-Ming; Xue, Yi-Feng 8 2002 The expression of the generalized Bott-Duffin inverse and its perturbation theory. Zbl 1030.15006 Xue, Yifeng; Chen, Guoliang 5 2002 Perturbation analysis of the generalized Bott-Duffin inverse of \(L\)-zero matrices. Zbl 1028.15002 Chen, Guoliang; Liu, Guoming; Xue, Yifeng 5 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 15 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 34 1996 Weighted generalized inverses, weighted least squares and equality constrained least squares problems. Zbl 0860.65032 Wei, Musheng; Chen, Guoliang 1 1995 A splitting for the \(W\)-weighted Drazin inverse of rectangular matrix. Zbl 0773.65026 Chen, Xuzhou; Chen, Guoliang 6 1993 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 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 601 Authors 42 Chen, Guoliang 35 Stanimirović, Predrag S. 33 Ma, Changfeng 24 Wei, Yimin 17 Wang, Qingwen 14 Ma, Haifeng 13 Huang, Qianglian 12 Liu, Xiaoji 12 Song, Guangjing 12 Xu, Weiru 11 Sheng, Xingping 11 Song, Caiqin 10 Ding, Jiu 10 He, ZhuoHeng 10 Huang, Baohua 10 Xue, Yifeng 10 Zhang, Huamin 9 Gupta, Dharmendra Kumar 9 Ji, Jun 9 Katsikis, Vasilios N. 9 Mosić, Dijana 9 Srivastava, Shwetabh 9 Wu, Qingbiao 9 Yuan, Shifang 9 Zhao, Jianxing 8 Zhou, Duanmei 7 Bebiano, Natália Isabel Quadros 7 Hajarian, Masoud 7 Kyrchei, Ivan I. 7 Sang, Caili 7 Zhao, Jianli 6 Ćirić, Miroslav D. 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 Ke, Yifen 5 Khojasteh Salkuyeh, Davod 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 Huang, Ting-Zhu 4 Li, Chengliang 4 Li, Xu 4 Li, Yongshu 4 Liao, Anping 4 Liu, Aijing 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 Yan, Tongxin 4 Zhang, Xiangyun 4 Zheng, Bing 4 Zhong, Hongxiu 3 Cao, Jianbing 3 Cao, Yang 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 Hossein, Sk. Monowar 3 Huang, Zhengge 3 Li, Mingzhao 3 Li, Shengkun 3 Liang, Zhaozheng 3 Liu, Xin 3 Masoudi, Mohsen 3 Mosleh, Maryam 3 Nashed, M. 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