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Author ID: liu.jianzhou Recent zbMATH articles by "Liu, Jianzhou"
Published as: Liu, Jianzhou; Liu, Jian Zhou; Liu, Jian-Zhou
Documents Indexed: 150 Publications since 1992
Co-Authors: 68 Co-Authors with 135 Joint Publications
2,019 Co-Co-Authors
all top 5

Serials

17 Linear Algebra and its Applications
10 Chinese Journal of Engineering Mathematics
8 Applied Mathematics and Computation
6 Numerical Mathematics
6 Natural Science Journal of Xiangtan University
6 Journal of Inequalities and Applications
5 International Journal of Control
5 Journal of Mathematical Research & Exposition
5 IMA Journal of Mathematical Control and Information
4 Mathematics in Practice and Theory
4 Bulletin of the Iranian Mathematical Society
4 International Journal of Computer Mathematics
4 ELA. The Electronic Journal of Linear Algebra
4 Asian Journal of Control
3 SIAM Journal on Matrix Analysis and Applications
3 Computational and Applied Mathematics
3 Mathematical Theory and Application
2 Acta Mathematica Sinica
2 IEEE Transactions on Automatic Control
2 Journal of Mathematics. Wuhan University
2 Acta Mathematicae Applicatae Sinica
2 Applied Mathematics and Mechanics. (English Edition)
2 Mathematica Applicata
2 Numerical Algorithms
2 Applied Mathematics. Series A (Chinese Edition)
2 Mathematical Problems in Engineering
2 Journal of Applied Mathematics and Computing
2 Quantum Information Processing
2 Journal of Mathematical Inequalities
2 East Asian Journal on Applied Mathematics
1 Biological Cybernetics
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 International Journal of Systems Science
1 Journal of the Franklin Institute
1 Journal of the Mechanics and Physics of Solids
1 Linear and Multilinear Algebra
1 Automatica
1 BIT
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Mathematica Numerica Sinica
1 Chinese Annals of Mathematics. Series A
1 Acta Applicandae Mathematicae
1 Acta Scientiarum Naturalium Universitatis Jilinensis
1 Journal of Engineering Mathematics (Xi’an)
1 Applied Mathematics Letters
1 Engineering Analysis with Boundary Elements
1 Journal of Mathematical Study
1 Journal of Northwest Normal University. Natural Science
1 Nonlinear Analysis. Modelling and Control
1 Applied Mathematics E-Notes
1 Advances in Difference Equations
1 Journal of University of Science and Technology of Suzhou. Natural Science Edition
1 International Journal of Information & Systems Sciences
1 Numerical Mathematics: Theory, Methods and Applications
1 International Journal of Systems Science. Principles and Applications of Systems and Integration

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 434 times in 227 Documents Cited by Year
Some properties on Schur complements of H-matrices and diagonally dominant matrices. Zbl 1068.15004
Liu, Jianzhou; Huang, Yunqing
32
2004
Disc separation of the Schur complement of diagonally dominant matrices and determinantal bounds. Zbl 1107.15022
Liu, Jianzhou; Zhang, Fuzhen
30
2005
The Schur complements of generalized doubly diagonally dominant matrices. Zbl 1051.15016
Liu, Jianzhou; Huang, Yunqing; Zhang, Fuzhen
27
2004
Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations \(A_1XB_1 + C_1X^TD_1 = M_1, A_2XB_2 + C_2 X^TD_2 = M_2\). Zbl 1250.65059
Liang, Kaifu; Liu, Jianzhou
22
2011
The dominant degree and disc theorem for the Schur complement of matrix. Zbl 1189.15023
Liu, Jianzhou; Huang, Zejun; Zhang, Juan
21
2010
Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices. Zbl 1133.15020
Liu, Jianzhou; Li, Jicheng; Huang, Zhuohong; Kong, Xu
15
2008
Nonsingular almost strictly sign regular matrices. Zbl 1246.15032
Huang, Rong; Liu, Jianzhou; Zhu, Li
14
2012
The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation. Zbl 1186.15016
Liu, Jianzhou; Huang, Zejun
14
2010
The Schur complement of strictly doubly diagonally dominant matrices and its application. Zbl 1248.15018
Liu, Jianzhou; Zhang, Juan; Liu, Yu
13
2012
The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications. Zbl 1426.15060
Liu, Jianzhou; Zhang, Juan; Zhou, Lixin; Tu, Gen
13
2018
Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment. Zbl 1303.93090
Yang, Chunlei; Liu, Jianzhou; Liu, Yu
12
2012
New solution bounds for the continuous algebraic Riccati equation. Zbl 1259.15021
Liu, Jianzhou; Zhang, Juan; Liu, Yu
11
2011
Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. Zbl 0941.15017
Liu, Jianzhou
10
1999
The extension of Roth’s theorem for matrix equations over a ring. Zbl 0880.15016
Huang, Liping; Liu, Jianzhou
10
1997
Finite block method in fracture analysis with functionally graded materials. Zbl 1403.74084
Li, J.; Liu, J. Z.; Korakianitis, T.; Wen, P. H.
8
2017
\(Z\)-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. Zbl 1449.15026
Xiong, Liang; Liu, Jianzhou
8
2020
Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems. Zbl 1231.15017
Liu, Jianzhou; Huang, Zhuohong; Zhu, Li; Huang, Zejun
8
2011
A new \(C\)-eigenvalue localisation set for piezoelectric-type tensors. Zbl 1464.15019
Xiong, Liang; Liu, Jianzhou
8
2020
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1207.15015
Liu, Jianzhou; Zhang, Juan; Liu, Yu
8
2010
New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation. Zbl 1286.93085
Liu, Jianzhou; Zhang, Juan
7
2014
Some inequalities for eigenvalues of Schur complements of Hermitian matrices. Zbl 1108.15019
Liu, Jianzhou; Huang, Yunqing; Liao, Anping
7
2006
A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices. Zbl 0885.15010
Liu, Jianzhou; Zhu, Li
7
1997
Mechanical properties of single-walled carbon nanotube bundles as bulk materials. Zbl 1086.74010
Liu, J. Z.; Zheng, Q.-S.; Wang, L.-F.; Jiang, Q.
6
2005
On Schur complements of sign regular matrices of order \(k\). Zbl 1217.15041
Huang, Rong; Liu, Jianzhou
6
2010
New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. Zbl 1176.15030
Liu, Jianzhou; Zhang, Juan
6
2009
New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation. Zbl 1380.93163
Liu, Jianzhou; Wang, Li; Zhang, Juan
6
2017
Accurate solutions of diagonally dominant tridiagonal linear systems. Zbl 1310.65032
Huang, Rong; Liu, Jianzhou; Zhu, Li
6
2014
Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations. Zbl 1187.15023
Liu, Jianzhou; Zhang, Juan; Liu, Yu
6
2009
Some improvement of Oppenheim’s inequality for \(M\)-matrices. Zbl 0874.15015
Liu, Jianzhou; Zhu, Li
5
1997
A new trace bound for a general square matrix product. Zbl 1366.15007
Liu, Jianzhou; He, Lingli
5
2007
Some results on Oppenheim’s inequalities for M-matrices. Zbl 0961.15015
Yang, Zhongpeng; Liu, Jianzhou
4
2000
Some inequalities for Schur complements. Zbl 0941.15018
Liu, Jianzhou; Wang, Jian
4
1999
New estimates for the solution of the Lyapunov matrix differential equation. Zbl 1217.93135
Zhang, Juan; Liu, Jianzhou
4
2010
The existence uniqueness and the fixed iterative algorithm of the solution for the discrete coupled algebraic Riccati equation. Zbl 1227.93075
Liu, Jianzhou; Zhang, Juan
4
2011
Simple criteria for generalized diagonally dominant matrices. Zbl 1151.65024
Liu, Jianzhou; He, Anqi
4
2008
The geometric measure of entanglement of multipartite states and the \(Z\)-eigenvalue of tensors. Zbl 1508.81220
Xiong, Liang; Liu, Jianzhou; Qin, Qi
4
2022
Accurate solutions of structured generalized Kronecker product linear systems. Zbl 1469.65069
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou
4
2021
The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control. Zbl 1397.93072
Liu, Jianzhou; Wang, Li; Zhang, Juan
3
2017
Global exponential stability of positive periodic solutions for a cholera model with saturated treatment. Zbl 1416.92166
Quan, Hongzheng; Zhou, Xueyong; Liu, Jianzhou
3
2018
New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation. Zbl 1422.15005
Zhang, Juan; Liu, Jianzhou
3
2015
Newton’s method for the positive solution of the coupled algebraic Riccati equation applied to automatic control. Zbl 1463.65092
Liu, Jianzhou; Zhang, Juan; Luo, Fangfang
3
2020
Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications. Zbl 1464.15032
Xiong, Liang; Liu, Jianzhou
3
2020
The closure property of \(\mathcal{H}\)-tensors under the Hadamard product. Zbl 1375.15039
Zhou, Lixin; Liu, Jianzhou; Zhu, Li
3
2017
New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems. Zbl 1440.93051
Liu, Jianzhou; Wang, Li; Bai, Ying
3
2020
Matrix bounds for the solution of the continuous algebraic Riccati equation. Zbl 1210.15016
Zhang, Juan; Liu, Jianzhou
3
2010
The improved disc theorems for the Schur complements of diagonally dominant matrices. Zbl 1279.15016
Zhang, Juan; Liu, Jianzhou; Tu, Gen
3
2013
New upper matrix bounds with power form for the solution of the continuous coupled algebraic Riccati matrix equation. Zbl 1365.93472
Liu, Jianzhou; Wang, Yanpei; Zhang, Juan
3
2017
Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves. Zbl 1470.83064
Tong, M. L.; Zhang, Y.; Zhao, W.; Liu, J. Z.; Zhao, C. S.; Yang, T. G.
2
2014
The disc theorem for the Schur complement of two class submatrices with \(\gamma\)-diagonally dominant properties. Zbl 1389.15040
Li, Guangqi; Liu, Jianzhou; Zhang, Juan
2
2017
The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method. Zbl 1476.15003
Liu, Jianzhou; Xiong, Yebo; Liu, Yun
2
2020
\(\alpha\)-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
2
2009
Criteria and Schur complements of \(H\)-matrices. Zbl 1188.15026
Liu, Jianzhou; Zhang, Fuzhen
2
2010
Several criteria for judging \(H\)- and non-\(H\)-matrices. Zbl 1384.15010
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua
2
2016
New lower solution bounds for the continuous algebraic Riccati equation. Zbl 1223.15021
Zhang, Juan; Liu, Jianzhou
2
2011
Lower bound estimation of the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse. Zbl 1492.15009
Zeng, Wenlong; Liu, Jianzhou
2
2022
Upper solution bounds of the continuous coupled algebraic Riccati matrix equation. Zbl 1245.93059
Liu, Jianzhou; Zhang, Juan
2
2011
Bounds for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1260.93068
Liu, Jianzhou; Zhang, Juan
2
2011
The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system. Zbl 1499.34438
Liu, Jianzhou; Zhang, Juan; Huang, Hao
2
2019
Some interlacing properties of Schur complements of quaternion self-conjugate matrices. Zbl 0926.15015
Liu, Jianzhou; Yuan, Xiuyu
1
1998
Some Löwner partial orders of Schur complements and Kronecker products of matrices. Zbl 0936.15016
Liu, Jianzhou
1
1999
Some estimates for correlation coefficients of a system of random vectors. Zbl 0920.62070
Liu, Jianzhou
1
1999
An interleaved iterative criterion for \(H\)-matrices. Zbl 1132.65023
Liu, Jianzhou; He, Anqi
1
2007
Linear correlation between fractal dimension of EEG signal and handgrip force. Zbl 1116.92039
Liu, J. Z.; Yang, Q.; Yao, B.; Brown, R. W.; Yue, G. H.
1
2005
A new non-parameter criterion for H-matrices. Zbl 1147.65035
He, Anqi; Liu, Jianzhou
1
2008
A new algorithmic characterization of \(H\)-matrices. Zbl 1115.65046
Liu, Jianzhou; He, Anqi
1
2006
On zero-pattern invariant properties of structured matrices. Zbl 1225.15028
Huang, Rong; Liu, Jianzhou
1
2011
The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation. Zbl 1417.93145
Zhang, Juan; Liu, Jianzhou; Zha, Yaling
1
2017
Lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation. Zbl 1417.93144
Zhang, Juan; Liu, Jianzhou; Li, Quanbing
1
2017
The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. Zbl 1478.15025
Zhang, Juan; Liu, Jianzhou
1
2019
Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system. Zbl 1443.93055
Liu, Jianzhou; Zhang, Juan; Li, Quanbing
1
2020
Norm estimates for the inverses of strictly diagonally dominant \(M\)-matrices and linear complementarity problems. Zbl 1478.15030
Xiong, Yebo; Liu, Jianzhou
1
2021
Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices. Zbl 1477.15017
Liu, Jianzhou; Zhou, Lixin
1
2021
Characterizations of inverse \(M\)-matrices with special zero patterns. Zbl 1195.15037
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing
1
2010
The Bunch-Kaufman factorization of symmetric matrices signature similar to sign regular matrices. Zbl 1305.65112
Huang, Rong; Liu, Jianzhou; Zhu, Li; Pan, Jinsong
1
2013
New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation. Zbl 1255.15011
Zhang, Juan; Liu, Jianzhou
1
2012
Bidiagonal factorizations with some parameters equal to zero. Zbl 1208.15011
Huang, Rong; Liu, Jianzhou
1
2011
Upper solution bound of the CCARE and its application in multi-agent systems with time-delay in the state. Zbl 1520.93026
Wang, Li; Liu, Jianzhou
1
2023
Lower eigenvalue bounds on summation for the solution of the Lyapunov matrix differential equation. Zbl 1357.93044
Zhang, Juan; Liu, Jianzhou; Huang, Hao
1
2017
Upper solution bound of the CCARE and its application in multi-agent systems with time-delay in the state. Zbl 1520.93026
Wang, Li; Liu, Jianzhou
1
2023
The geometric measure of entanglement of multipartite states and the \(Z\)-eigenvalue of tensors. Zbl 1508.81220
Xiong, Liang; Liu, Jianzhou; Qin, Qi
4
2022
Lower bound estimation of the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse. Zbl 1492.15009
Zeng, Wenlong; Liu, Jianzhou
2
2022
Accurate solutions of structured generalized Kronecker product linear systems. Zbl 1469.65069
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou
4
2021
Norm estimates for the inverses of strictly diagonally dominant \(M\)-matrices and linear complementarity problems. Zbl 1478.15030
Xiong, Yebo; Liu, Jianzhou
1
2021
Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices. Zbl 1477.15017
Liu, Jianzhou; Zhou, Lixin
1
2021
\(Z\)-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. Zbl 1449.15026
Xiong, Liang; Liu, Jianzhou
8
2020
A new \(C\)-eigenvalue localisation set for piezoelectric-type tensors. Zbl 1464.15019
Xiong, Liang; Liu, Jianzhou
8
2020
Newton’s method for the positive solution of the coupled algebraic Riccati equation applied to automatic control. Zbl 1463.65092
Liu, Jianzhou; Zhang, Juan; Luo, Fangfang
3
2020
Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications. Zbl 1464.15032
Xiong, Liang; Liu, Jianzhou
3
2020
New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems. Zbl 1440.93051
Liu, Jianzhou; Wang, Li; Bai, Ying
3
2020
The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method. Zbl 1476.15003
Liu, Jianzhou; Xiong, Yebo; Liu, Yun
2
2020
Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system. Zbl 1443.93055
Liu, Jianzhou; Zhang, Juan; Li, Quanbing
1
2020
The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system. Zbl 1499.34438
Liu, Jianzhou; Zhang, Juan; Huang, Hao
2
2019
The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. Zbl 1478.15025
Zhang, Juan; Liu, Jianzhou
1
2019
The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications. Zbl 1426.15060
Liu, Jianzhou; Zhang, Juan; Zhou, Lixin; Tu, Gen
13
2018
Global exponential stability of positive periodic solutions for a cholera model with saturated treatment. Zbl 1416.92166
Quan, Hongzheng; Zhou, Xueyong; Liu, Jianzhou
3
2018
Finite block method in fracture analysis with functionally graded materials. Zbl 1403.74084
Li, J.; Liu, J. Z.; Korakianitis, T.; Wen, P. H.
8
2017
New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation. Zbl 1380.93163
Liu, Jianzhou; Wang, Li; Zhang, Juan
6
2017
The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control. Zbl 1397.93072
Liu, Jianzhou; Wang, Li; Zhang, Juan
3
2017
The closure property of \(\mathcal{H}\)-tensors under the Hadamard product. Zbl 1375.15039
Zhou, Lixin; Liu, Jianzhou; Zhu, Li
3
2017
New upper matrix bounds with power form for the solution of the continuous coupled algebraic Riccati matrix equation. Zbl 1365.93472
Liu, Jianzhou; Wang, Yanpei; Zhang, Juan
3
2017
The disc theorem for the Schur complement of two class submatrices with \(\gamma\)-diagonally dominant properties. Zbl 1389.15040
Li, Guangqi; Liu, Jianzhou; Zhang, Juan
2
2017
The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation. Zbl 1417.93145
Zhang, Juan; Liu, Jianzhou; Zha, Yaling
1
2017
Lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation. Zbl 1417.93144
Zhang, Juan; Liu, Jianzhou; Li, Quanbing
1
2017
Lower eigenvalue bounds on summation for the solution of the Lyapunov matrix differential equation. Zbl 1357.93044
Zhang, Juan; Liu, Jianzhou; Huang, Hao
1
2017
Several criteria for judging \(H\)- and non-\(H\)-matrices. Zbl 1384.15010
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua
2
2016
New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation. Zbl 1422.15005
Zhang, Juan; Liu, Jianzhou
3
2015
New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation. Zbl 1286.93085
Liu, Jianzhou; Zhang, Juan
7
2014
Accurate solutions of diagonally dominant tridiagonal linear systems. Zbl 1310.65032
Huang, Rong; Liu, Jianzhou; Zhu, Li
6
2014
Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves. Zbl 1470.83064
Tong, M. L.; Zhang, Y.; Zhao, W.; Liu, J. Z.; Zhao, C. S.; Yang, T. G.
2
2014
The improved disc theorems for the Schur complements of diagonally dominant matrices. Zbl 1279.15016
Zhang, Juan; Liu, Jianzhou; Tu, Gen
3
2013
The Bunch-Kaufman factorization of symmetric matrices signature similar to sign regular matrices. Zbl 1305.65112
Huang, Rong; Liu, Jianzhou; Zhu, Li; Pan, Jinsong
1
2013
Nonsingular almost strictly sign regular matrices. Zbl 1246.15032
Huang, Rong; Liu, Jianzhou; Zhu, Li
14
2012
The Schur complement of strictly doubly diagonally dominant matrices and its application. Zbl 1248.15018
Liu, Jianzhou; Zhang, Juan; Liu, Yu
13
2012
Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment. Zbl 1303.93090
Yang, Chunlei; Liu, Jianzhou; Liu, Yu
12
2012
New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation. Zbl 1255.15011
Zhang, Juan; Liu, Jianzhou
1
2012
Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations \(A_1XB_1 + C_1X^TD_1 = M_1, A_2XB_2 + C_2 X^TD_2 = M_2\). Zbl 1250.65059
Liang, Kaifu; Liu, Jianzhou
22
2011
New solution bounds for the continuous algebraic Riccati equation. Zbl 1259.15021
Liu, Jianzhou; Zhang, Juan; Liu, Yu
11
2011
Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems. Zbl 1231.15017
Liu, Jianzhou; Huang, Zhuohong; Zhu, Li; Huang, Zejun
8
2011
The existence uniqueness and the fixed iterative algorithm of the solution for the discrete coupled algebraic Riccati equation. Zbl 1227.93075
Liu, Jianzhou; Zhang, Juan
4
2011
New lower solution bounds for the continuous algebraic Riccati equation. Zbl 1223.15021
Zhang, Juan; Liu, Jianzhou
2
2011
Upper solution bounds of the continuous coupled algebraic Riccati matrix equation. Zbl 1245.93059
Liu, Jianzhou; Zhang, Juan
2
2011
Bounds for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1260.93068
Liu, Jianzhou; Zhang, Juan
2
2011
On zero-pattern invariant properties of structured matrices. Zbl 1225.15028
Huang, Rong; Liu, Jianzhou
1
2011
Bidiagonal factorizations with some parameters equal to zero. Zbl 1208.15011
Huang, Rong; Liu, Jianzhou
1
2011
The dominant degree and disc theorem for the Schur complement of matrix. Zbl 1189.15023
Liu, Jianzhou; Huang, Zejun; Zhang, Juan
21
2010
The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation. Zbl 1186.15016
Liu, Jianzhou; Huang, Zejun
14
2010
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1207.15015
Liu, Jianzhou; Zhang, Juan; Liu, Yu
8
2010
On Schur complements of sign regular matrices of order \(k\). Zbl 1217.15041
Huang, Rong; Liu, Jianzhou
6
2010
New estimates for the solution of the Lyapunov matrix differential equation. Zbl 1217.93135
Zhang, Juan; Liu, Jianzhou
4
2010
Matrix bounds for the solution of the continuous algebraic Riccati equation. Zbl 1210.15016
Zhang, Juan; Liu, Jianzhou
3
2010
Criteria and Schur complements of \(H\)-matrices. Zbl 1188.15026
Liu, Jianzhou; Zhang, Fuzhen
2
2010
Characterizations of inverse \(M\)-matrices with special zero patterns. Zbl 1195.15037
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing
1
2010
New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. Zbl 1176.15030
Liu, Jianzhou; Zhang, Juan
6
2009
Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations. Zbl 1187.15023
Liu, Jianzhou; Zhang, Juan; Liu, Yu
6
2009
\(\alpha\)-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
2
2009
Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices. Zbl 1133.15020
Liu, Jianzhou; Li, Jicheng; Huang, Zhuohong; Kong, Xu
15
2008
Simple criteria for generalized diagonally dominant matrices. Zbl 1151.65024
Liu, Jianzhou; He, Anqi
4
2008
A new non-parameter criterion for H-matrices. Zbl 1147.65035
He, Anqi; Liu, Jianzhou
1
2008
A new trace bound for a general square matrix product. Zbl 1366.15007
Liu, Jianzhou; He, Lingli
5
2007
An interleaved iterative criterion for \(H\)-matrices. Zbl 1132.65023
Liu, Jianzhou; He, Anqi
1
2007
Some inequalities for eigenvalues of Schur complements of Hermitian matrices. Zbl 1108.15019
Liu, Jianzhou; Huang, Yunqing; Liao, Anping
7
2006
A new algorithmic characterization of \(H\)-matrices. Zbl 1115.65046
Liu, Jianzhou; He, Anqi
1
2006
Disc separation of the Schur complement of diagonally dominant matrices and determinantal bounds. Zbl 1107.15022
Liu, Jianzhou; Zhang, Fuzhen
30
2005
Mechanical properties of single-walled carbon nanotube bundles as bulk materials. Zbl 1086.74010
Liu, J. Z.; Zheng, Q.-S.; Wang, L.-F.; Jiang, Q.
6
2005
Linear correlation between fractal dimension of EEG signal and handgrip force. Zbl 1116.92039
Liu, J. Z.; Yang, Q.; Yao, B.; Brown, R. W.; Yue, G. H.
1
2005
Some properties on Schur complements of H-matrices and diagonally dominant matrices. Zbl 1068.15004
Liu, Jianzhou; Huang, Yunqing
32
2004
The Schur complements of generalized doubly diagonally dominant matrices. Zbl 1051.15016
Liu, Jianzhou; Huang, Yunqing; Zhang, Fuzhen
27
2004
Some results on Oppenheim’s inequalities for M-matrices. Zbl 0961.15015
Yang, Zhongpeng; Liu, Jianzhou
4
2000
Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. Zbl 0941.15017
Liu, Jianzhou
10
1999
Some inequalities for Schur complements. Zbl 0941.15018
Liu, Jianzhou; Wang, Jian
4
1999
Some Löwner partial orders of Schur complements and Kronecker products of matrices. Zbl 0936.15016
Liu, Jianzhou
1
1999
Some estimates for correlation coefficients of a system of random vectors. Zbl 0920.62070
Liu, Jianzhou
1
1999
Some interlacing properties of Schur complements of quaternion self-conjugate matrices. Zbl 0926.15015
Liu, Jianzhou; Yuan, Xiuyu
1
1998
The extension of Roth’s theorem for matrix equations over a ring. Zbl 0880.15016
Huang, Liping; Liu, Jianzhou
10
1997
A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices. Zbl 0885.15010
Liu, Jianzhou; Zhu, Li
7
1997
Some improvement of Oppenheim’s inequality for \(M\)-matrices. Zbl 0874.15015
Liu, Jianzhou; Zhu, Li
5
1997
all top 5

Cited by 288 Authors

39 Liu, Jianzhou
17 Ma, Changfeng
15 Peña, Juan Manuel
13 Zhang, Juan
12 Serrano, María Luisa
12 Zhao, Jianxing
11 Alonso, Pedro
7 Li, Chaoqian
7 Li, Yaotang
6 Gao, Lei
6 Sang, Caili
6 Xie, Yajun
6 Yang, Zhao
6 Zhang, Chengyi
6 Zhang, Huamin
5 Cvetković, Ljiljana
5 Li, Jicheng
5 Lyu, Zhenhua
5 Wu, Aiguo
4 Huang, Rong
4 Kolotilina, Lily Yu.
4 Nedović, Maja
4 Wang, Li
4 Zhou, Lixin
3 Duan, Guangren
3 Feng, Gang
3 Hajarian, Masoud
3 Huang, Baohua
3 Huang, Na
3 Huang, Zejun
3 Huang, Zhuohong
3 Liao, Anping
3 Liu, Qilong
3 Lv, Changqing
3 Wang, Feng
3 Zheng, Bing
2 Bai, Shunjie
2 Banu, S. Mehar
2 Bayoumi, Ahmed M. E.
2 Bru, Rafael
2 Chen, Shencan
2 Chen, Zhen
2 Chiang, Chun-Yueh
2 Ding, Feng
2 Dong, Liqiang
2 Farid, Farid O.
2 Giménez, Isabel
2 He, Jun
2 Huang, Hao
2 Huang, Yunqing
2 Huang, Zhengge
2 Jiménez, Jorge E.
2 Li, Ying
2 Li, Yongtao
2 Liang, Chang
2 Liu, Wanquan
2 Lu, Quan
2 Luo, Fangfang
2 Luo, Shuanghua
2 Orera, Héctor
2 Qin, Yingying
2 Ramadan, Mohamed Abdel-Latif
2 Song, Xinnian
2 Sun, Deshu
2 Szulc, Tomasz
2 Tu, Gen
2 Turkmen, Ramazan
2 Ulukök, Zübeyde
2 Wang, Bin
2 Wang, Leilei
2 Wang, Qingwen
2 Wei, Musheng
2 Xiong, Liang
2 Xiong, Yebo
2 Xiong, Zhiping
2 Xu, Chengxian
2 Yan, Tongxin
2 Yang, Yuning
2 Yang, Zhongpeng
2 Yuan, Shifang
2 Zhang, Fengxia
2 Zhao, Jianli
2 Zhu, Lie
1 Abascal, Policarpo
1 Adam, Maria
1 Adm, Mohammad
1 Afshin, Hamidreza
1 Arcak, Murat
1 Askarizadeh, Abbas
1 Assimakis, Nicholas D.
1 Ayyappan, Govindasamy
1 Bachelier, Olivier
1 Bai, Ying
1 Bashirizadeh, Maryam
1 Borrelli, Francesco
1 Cai, Chenxiao
1 Cao, Chongguang
1 Cao, Hongbo
1 Cao, Jinde
1 Cao, Shujuan
...and 188 more Authors
all top 5

Cited in 70 Serials

26 Linear Algebra and its Applications
23 Applied Mathematics and Computation
16 Journal of Computational and Applied Mathematics
10 Journal of the Franklin Institute
10 Linear and Multilinear Algebra
9 Journal of Inequalities and Applications
8 Asian Journal of Control
7 Computers & Mathematics with Applications
7 International Journal of Computer Mathematics
7 Computational and Applied Mathematics
6 Bulletin of the Iranian Mathematical Society
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Journal of Applied Mathematics and Computing
4 Numerical Algorithms
4 Journal of Mathematical Sciences (New York)
4 Mathematical Problems in Engineering
4 Journal of Industrial and Management Optimization
3 Applied Mathematics Letters
3 Numerical Linear Algebra with Applications
3 Advances in Difference Equations
2 International Journal of Control
2 Acta Applicandae Mathematicae
2 Applied Mathematical Modelling
2 ELA. The Electronic Journal of Linear Algebra
2 Nonlinear Analysis. Modelling and Control
2 Journal of Applied Mathematics
2 Quantum Information Processing
2 Operators and Matrices
2 Journal of Mathematical Inequalities
2 Open Mathematics
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Automatica
1 BIT
1 Information Sciences
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Naval Research Logistics
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of Scientific Computing
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 The Journal of Analysis
1 Applied Mathematics. Series B (English Edition)
1 Georgian Mathematical Journal
1 ETNA. Electronic Transactions on Numerical Analysis
1 Complexity
1 Journal of Vibration and Control
1 Abstract and Applied Analysis
1 Honam Mathematical Journal
1 Positivity
1 Taiwanese Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Mediterranean Journal of Mathematics
1 Frontiers of Mathematics in China
1 Journal of Physics A: Mathematical and Theoretical
1 The B. E. Journal of Theoretical Economics
1 Proceedings of the Estonian Academy of Sciences
1 Numerical Mathematics: Theory, Methods and Applications
1 Advances in Numerical Analysis
1 Science China. Information Sciences
1 Afrika Matematika
1 ISRN Algebra
1 Journal of Applied Analysis and Computation
1 Cogent Mathematics & Statistics
1 Electronic Research Archive

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