# zbMATH — the first resource for mathematics

## Liu, Jianzhou

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 Author ID: liu.jianzhou Published as: Liu, J.; Liu, J. Z.; Liu, Jian-Zhou; Liu, Jianzhou
 Documents Indexed: 196 Publications since 1975, including 2 Books
all top 5

#### Co-Authors

 10 single-authored 27 Zhang, Juan 10 Huang, Rong 10 Zhu, Li 9 Xie, Qingming 8 He, Anqi 6 Huang, Zejun 5 Liu, Yu 5 Wang, Leilei 4 Huang, Zhuohong 3 Cao, Yanhua 3 Ding, Biwen 3 Guo, Aili 3 Huang, Yunqing 3 Li, Quanbing 3 Mo, Hongmin 3 Xu, Yinghong 3 Xue, Yuan 3 Zhang, Fuzhen 2 He, Lingli 2 Huang, Hao 2 Liang, Kaifu 2 Liao, Anping 2 Tu, Gen 2 Tuo, Qing 2 Xiong, Liang 2 Zhou, Lixin 1 Bai, Ying 1 Chu, Shan 1 Han, Junlin 1 Huang, Liping 1 Kong, Xu 1 Kuang, Qiaoying 1 Li, Guangqi 1 Li, Jicheng 1 Liu, Yu 1 Long, Shunchao 1 Luo, Fangfang 1 Lyu, Zhenhua 1 Ma, Yanbo 1 Pan, Jinsong 1 Quan, Hongzheng 1 Sze, Nung-Sing 1 Tang, Hua 1 Wan, Jian 1 Wang, Jian 1 Wang, Jie 1 Wang, Li 1 Wang, Li 1 Wang, Li 1 Wang, Yanpei 1 Xi, Boyan 1 Yang, Chunlei 1 Yang, Zhongpeng 1 Yuan, Xiuyu 1 Zha, Yaling 1 Zhang, Chaoquan 1 Zhang, Yuelang 1 Zhou, Xueyong
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 5 Journal of Mathematical Research & Exposition 5 Journal of Inequalities and Applications 4 International Journal of Control 4 International Journal of Computer Mathematics 4 ELA. The Electronic Journal of Linear Algebra 4 Asian Journal of Control 3 Mathematics in Practice and Theory 3 IMA Journal of Mathematical Control and Information 3 SIAM Journal on Matrix Analysis and Applications 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 Applied Mathematics. Series A (Chinese Edition) 2 Computational and Applied Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Automatica 1 BIT 1 Journal of Computational and Applied Mathematics 1 Mathematica Numerica Sinica 1 Chinese Annals of Mathematics. Series A 1 Acta Scientiarum Naturalium Universitatis Jilinensis 1 Journal of Engineering Mathematics (Xi’an) 1 Mathematical Problems in Engineering 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 Journal of Applied Mathematics and Computing 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 Journal of Mathematical Inequalities 1 Numerical Mathematics: Theory, Methods and Applications
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#### Fields

 96 Linear and multilinear algebra; matrix theory (15-XX) 36 Numerical analysis (65-XX) 16 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

92 Publications have been cited 492 times in 369 Documents Cited by Year
Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique. Zbl 1230.74240
Jiang, C.; Han, X.; Lu, G. Y.; Liu, J.; Zhang, Z.; Bai, Y. C.
2011
A fuzzy adaptive differential evolution algorithm. Zbl 1076.93513
Liu, J.; Lampinen, J.
2005
Computational techniques for complex transport phenomena. Zbl 0920.76003
Shyy, W.; Thakur, S. S.; Ouyang, H.; Blosch, E.; Liu, J.
1998
Some properties on Schur complements of H-matrices and diagonally dominant matrices. Zbl 1068.15004
Liu, Jianzhou; Huang, Yunqing
2004
Disc separation of the Schur complement of diagonally dominant matrices and determinantal bounds. Zbl 1107.15022
Liu, Jianzhou; Zhang, Fuzhen
2005
The Schur complements of generalized doubly diagonally dominant matrices. Zbl 1051.15016
Liu, Jianzhou; Huang, Yunqing; Zhang, Fuzhen
2004
On a threshold autoregression with conditional heteroscedastic variances. Zbl 0921.62113
Liu, J.; Li, W. K.; Li, C. W.
1997
Robust solutions for network design under transportation cost and demand uncertainty. Zbl 1153.90341
Mudchanatongsuk, S.; Ordóñez, F.; Liu, J.
2008
The dominant degree and disc theorem for the Schur complement of matrix. Zbl 1189.15023
Liu, Jianzhou; Huang, Zejun; Zhang, Juan
2010
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
2011
Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices. Zbl 1133.15020
Liu, Jianzhou; Li, Jicheng; Huang, Zhuohong; Kong, Xu
2008
Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment. Zbl 1303.93090
Yang, Chunlei; Liu, Jianzhou; Liu, Yu
2012
Nonsingular almost strictly sign regular matrices. Zbl 1246.15032
Huang, Rong; Liu, Jianzhou; Zhu, Li
2012
The extension of Roth’s theorem for matrix equations over a ring. Zbl 0880.15016
Huang, Liping; Liu, Jianzhou
1997
A new nonlinear interval programming method for uncertain problems with dependent interval variables. Zbl 1338.90487
Jiang, C.; Zhang, Z. G.; Zhang, Q. F.; Han, X.; Xie, H. C.; Liu, J.
2014
New solution bounds for the continuous algebraic Riccati equation. Zbl 1259.15021
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2011
The Schur complements of $$\gamma$$-diagonally and product $$\gamma$$-diagonally dominant matrix and their disc separation. Zbl 1186.15016
Liu, Jianzhou; Huang, Zejun
2010
Design of sliding mode control for neutral delay systems with perturbation in control channels. Zbl 1277.93023
Niu, Yugang; Jia, T.; Huang, J.; Liu, J.
2012
Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. Zbl 0941.15017
Liu, Jianzhou
1999
A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices. Zbl 0885.15010
Liu, Jianzhou; Zhu, Li
1997
Modelling experts’ attitudes in group decision making. Zbl 1269.91033
Palomares, I.; Liu, J.; Xu, Y.; Martínez, L.
2012
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
2011
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1207.15015
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2010
On Schur complements of sign regular matrices of order $$k$$. Zbl 1217.15041
Huang, Rong; Liu, Jianzhou
2010
Some inequalities for eigenvalues of Schur complements of Hermitian matrices. Zbl 1108.15019
Liu, Jianzhou; Huang, Yunqing; Liao, Anping
2006
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.
2005
Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1422.65361
Liu, J.; Sun, J.; Turner, T.
2019
Inversion algorithms for large-scale geophysical electromagnetic measurements. Zbl 1181.35317
Abubakar, A.; Habashy, T. M.; Li, M.; Liu, J.
2009
Stopping at the maximum of geometric Brownian motion when signals are received. Zbl 1094.60030
Guo, Xin; Liu, J.
2005
Statistical inference based on non-smooth estimating functions. Zbl 1064.62026
Tian, L.; Liu, J.; Zhao, Y.; Wei, L. J.
2004
Finite block method in fracture analysis with functionally graded materials. Zbl 1403.74084
Li, J.; Liu, J. Z.; Korakianitis, T.; Wen, P. H.
2017
The Schur complement of strictly doubly diagonally dominant matrices and its application. Zbl 1248.15018
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2012
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
2009
New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. Zbl 1176.15030
Liu, Jianzhou; Zhang, Juan
2009
A new trace bound for a general square matrix product. Zbl 1366.15007
Liu, Jianzhou; He, Lingli
2007
Buckling of shallow spherical shells including the effects of transverse shear deformation. Zbl 1045.74524
Li, Q. S.; Liu, J.; Tang, J.
2003
Inter-transactional association rules for multi-dimensional contexts for prediction and their application to studying meteorological data. Zbl 0974.68043
Feng, L.; Dillon, T.; Liu, J.
2001
Variable structure control using system decomposition. Zbl 0770.93015
Zohdy, M.; Fadali, M. S.; Liu, J.
1992
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
2018
New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation. Zbl 1380.93163
Liu, Jianzhou; Wang, Li; Zhang, Juan
2017
Uncertain buckling and reliability analysis of the piezoelectric functionally graded cylindrical shells based on the nonprobabilistic convex model. Zbl 1359.74083
Bi, R. G.; Han, X.; Jiang, C.; Bai, Y. C.; Liu, J.
2014
New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation. Zbl 1286.93085
Liu, Jianzhou; Zhang, Juan
2014
Joint inversion approaches for geophysical electromagnetic and elastic full-waveform data. Zbl 1239.86009
Abubakar, A.; Gao, G.; Habashy, T. M.; Liu, J.
2012
A semi-analytical method for bending, buckling, and free vibration analyses of sandwich panels with square-honeycomb cores. Zbl 1271.74095
Liu, J.; Cheng, Y. S.; Li, R. F.; Au, F. T. K.
2010
Matrix bounds for the solution of the continuous algebraic Riccati equation. Zbl 1210.15016
Zhang, Juan; Liu, Jianzhou
2010
Periodic solutions of evolution equations. Zbl 1071.34056
Ezzinbi, K.; Naito, T.; Minh, N.; Liu, J.
2004
Wavelet theory and its application to pattern recognition. Zbl 0969.68133
Tang, Y. Y.; Yang, L. H.; Liu, J.; Ma, H.
2000
Some inequalities for Schur complements. Zbl 0941.15018
Liu, Jianzhou; Wang, Jian
1999
Some improvement of Oppenheim’s inequality for $$M$$-matrices. Zbl 0874.15015
Liu, Jianzhou; Zhu, Li
1997
Global exponential stability of positive periodic solutions for a cholera model with saturated treatment. Zbl 1416.92166
Quan, Hongzheng; Zhou, Xueyong; Liu, Jianzhou
2018
Distributed adaptive high-gain extended Kalman filtering for nonlinear systems. Zbl 1381.93096
Rashedi, M.; Liu, J.; Huang, B.
2017
The closure property of $$\mathcal{H}$$-tensors under the Hadamard product. Zbl 1375.15039
Zhou, Lixin; Liu, Jianzhou; Zhu, Li
2017
Propagation behavior of elastic waves in one-dimensional piezoelectric/piezomagnetic phononic crystal with line defects. Zbl 1346.74047
Pang, Y.; Jiao, F.; Liu, J.
2014
The improved disc theorems for the Schur complements of diagonally dominant matrices. Zbl 1279.15016
Zhang, Juan; Liu, Jianzhou; Tu, Gen
2013
Bounds for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1260.93068
Liu, Jianzhou; Zhang, Juan
2011
Upper solution bounds of the continuous coupled algebraic Riccati matrix equation. Zbl 1245.93059
Liu, Jianzhou; Zhang, Juan
2011
New lower solution bounds for the continuous algebraic Riccati equation. Zbl 1223.15021
Zhang, Juan; Liu, Jianzhou
2011
Criteria and Schur complements of $$H$$-matrices. Zbl 1188.15026
Liu, Jianzhou; Zhang, Fuzhen
2010
$$\alpha$$-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
2009
Love waves in a smart functionally graded piezoelectric composite structure. Zbl 1397.74106
Liu, J.; Cao, X. S.; Wang, Z. K.
2009
Parametric estimation of mixtures of two uniform distributions. Zbl 1169.62011
Hussein, A.; Liu, J.
2009
Simple criteria for generalized diagonally dominant matrices. Zbl 1151.65024
Liu, Jianzhou; He, Anqi
2008
Some results on Oppenheim’s inequalities for M-matrices. Zbl 0961.15015
Yang, Zhongpeng; Liu, Jianzhou
2000
Assessment of grid interface treatments for multi-block incompressible viscous flow computation. Zbl 0888.76057
Liu, J.; Shyy, W.
1996
$$Z$$-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. Zbl 1449.15026
Xiong, Liang; Liu, Jianzhou
2020
Multi-scale modelling of granular materials: numerical framework and study on micro-structural features. Zbl 07037447
Liu, J.; Bosco, E.; Suiker, A. S. J.
2019
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
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
2017
A stochastic scaled boundary finite element method. Zbl 1439.74445
Long, X. Y.; Jiang, C.; Yang, C.; Han, X.; Gao, W.; Liu, J.
2016
Several criteria for judging $$H$$- and non-$$H$$-matrices. Zbl 1384.15010
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua
2016
A contact detection algorithm for multi-sphere particles by means of two-level-grid-searching in DEM simulations. Zbl 1352.74202
Fang, Z. Q.; Hu, G. M.; Du, J.; Fan, Z.; Liu, J.
2015
Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves. Zbl 06281203
Tong, M. L.; Zhang, Y.; Zhao, W.; Liu, J. Z.; Zhao, C. S.; Yang, T. G.
2014
Temporal multiscale approach for nanocarrier motion with simultaneous adhesion and hydrodynamic interactions in targeted drug delivery. Zbl 1377.76049
Radhakrishnan, R.; Uma, B.; Liu, J.; Ayyaswamy, P. S.; Eckmann, D. M.
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
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
2012
Stability and robustness analysis of a linear time-periodic system subjected to random perturbations. Zbl 1248.93171
Redkar, Sangram; Liu, J.; Sinha, S. C.
2012
Meshless study of dynamic failure in shells. Zbl 1254.74117
Liu, J.
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
2011
On zero-pattern invariant properties of structured matrices. Zbl 1225.15028
Huang, Rong; Liu, Jianzhou
2011
Characterizations of inverse $$M$$-matrices with special zero patterns. Zbl 1195.15037
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing
2010
New estimates for the solution of the Lyapunov matrix differential equation. Zbl 1217.93135
Zhang, Juan; Liu, Jianzhou
2010
An interleaved iterative criterion for $$H$$-matrices. Zbl 1132.65023
Liu, Jianzhou; He, Anqi
2007
A new algorithmic characterization of $$H$$-matrices. Zbl 1115.65046
Liu, Jianzhou; He, Anqi
2006
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.
2005
High-resolution schemes for bubbling flow computations. Zbl 1163.76394
Zhao, X.; Richards, P. G.; Zhang, S. J.; Liu, J.
2005
Transient anti-plane crack problem of a functionally graded piezoelectric strip bonded to elastic layers. Zbl 1063.74088
Chen, J.; Soh, A. K.; Liu, J.; Liu, Z. X.
2004
Fault detection method for nonlinear systems based on probabilistic neural network filtering. Zbl 1031.93083
Liu, J.; Scherpen, J. M. A.
2002
Parallel algorithms for particles-turbulence two-way interaction direct numerical simulation. Zbl 1007.68208
Ling, W.; Liu, J.; Chung, J. N.; Crowe, C. T.
2002
Some Löwner partial orders of Schur complements and Kronecker products of matrices. Zbl 0936.15016
Liu, Jianzhou
1999
Some estimates for correlation coefficients of a system of random vectors. Zbl 0920.62070
Liu, Jianzhou
1999
Some interlacing properties of Schur complements of quaternion self-conjugate matrices. Zbl 0926.15015
Liu, Jianzhou; Yuan, Xiuyu
1998
Porohyperelastic-transport-swelling theory, material properties and finite element models for large arteries. Zbl 0968.74561
Simon, B. R.; Kaufman, M. V.; Liu, J.; Baldwin, A. L.
1998
$$Z$$-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. Zbl 1449.15026
Xiong, Liang; Liu, Jianzhou
2020
Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1422.65361
Liu, J.; Sun, J.; Turner, T.
2019
Multi-scale modelling of granular materials: numerical framework and study on micro-structural features. Zbl 07037447
Liu, J.; Bosco, E.; Suiker, A. S. J.
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
2018
Global exponential stability of positive periodic solutions for a cholera model with saturated treatment. Zbl 1416.92166
Quan, Hongzheng; Zhou, Xueyong; Liu, Jianzhou
2018
Finite block method in fracture analysis with functionally graded materials. Zbl 1403.74084
Li, J.; Liu, J. Z.; Korakianitis, T.; Wen, P. H.
2017
New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation. Zbl 1380.93163
Liu, Jianzhou; Wang, Li; Zhang, Juan
2017
Distributed adaptive high-gain extended Kalman filtering for nonlinear systems. Zbl 1381.93096
Rashedi, M.; Liu, J.; Huang, B.
2017
The closure property of $$\mathcal{H}$$-tensors under the Hadamard product. Zbl 1375.15039
Zhou, Lixin; Liu, Jianzhou; Zhu, Li
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
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
2017
A stochastic scaled boundary finite element method. Zbl 1439.74445
Long, X. Y.; Jiang, C.; Yang, C.; Han, X.; Gao, W.; Liu, J.
2016
Several criteria for judging $$H$$- and non-$$H$$-matrices. Zbl 1384.15010
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua
2016
A contact detection algorithm for multi-sphere particles by means of two-level-grid-searching in DEM simulations. Zbl 1352.74202
Fang, Z. Q.; Hu, G. M.; Du, J.; Fan, Z.; Liu, J.
2015
A new nonlinear interval programming method for uncertain problems with dependent interval variables. Zbl 1338.90487
Jiang, C.; Zhang, Z. G.; Zhang, Q. F.; Han, X.; Xie, H. C.; Liu, J.
2014
Uncertain buckling and reliability analysis of the piezoelectric functionally graded cylindrical shells based on the nonprobabilistic convex model. Zbl 1359.74083
Bi, R. G.; Han, X.; Jiang, C.; Bai, Y. C.; Liu, J.
2014
New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation. Zbl 1286.93085
Liu, Jianzhou; Zhang, Juan
2014
Propagation behavior of elastic waves in one-dimensional piezoelectric/piezomagnetic phononic crystal with line defects. Zbl 1346.74047
Pang, Y.; Jiao, F.; Liu, J.
2014
Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves. Zbl 06281203
Tong, M. L.; Zhang, Y.; Zhao, W.; Liu, J. Z.; Zhao, C. S.; Yang, T. G.
2014
The improved disc theorems for the Schur complements of diagonally dominant matrices. Zbl 1279.15016
Zhang, Juan; Liu, Jianzhou; Tu, Gen
2013
Temporal multiscale approach for nanocarrier motion with simultaneous adhesion and hydrodynamic interactions in targeted drug delivery. Zbl 1377.76049
Radhakrishnan, R.; Uma, B.; Liu, J.; Ayyaswamy, P. S.; Eckmann, D. M.
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
2013
Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment. Zbl 1303.93090
Yang, Chunlei; Liu, Jianzhou; Liu, Yu
2012
Nonsingular almost strictly sign regular matrices. Zbl 1246.15032
Huang, Rong; Liu, Jianzhou; Zhu, Li
2012
Design of sliding mode control for neutral delay systems with perturbation in control channels. Zbl 1277.93023
Niu, Yugang; Jia, T.; Huang, J.; Liu, J.
2012
Modelling experts’ attitudes in group decision making. Zbl 1269.91033
Palomares, I.; Liu, J.; Xu, Y.; Martínez, L.
2012
The Schur complement of strictly doubly diagonally dominant matrices and its application. Zbl 1248.15018
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2012
Joint inversion approaches for geophysical electromagnetic and elastic full-waveform data. Zbl 1239.86009
Abubakar, A.; Gao, G.; Habashy, T. M.; Liu, J.
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
2012
Stability and robustness analysis of a linear time-periodic system subjected to random perturbations. Zbl 1248.93171
Redkar, Sangram; Liu, J.; Sinha, S. C.
2012
Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique. Zbl 1230.74240
Jiang, C.; Han, X.; Lu, G. Y.; Liu, J.; Zhang, Z.; Bai, Y. C.
2011
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
2011
New solution bounds for the continuous algebraic Riccati equation. Zbl 1259.15021
Liu, Jianzhou; Zhang, Juan; Liu, Yu
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
2011
Bounds for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1260.93068
Liu, Jianzhou; Zhang, Juan
2011
Upper solution bounds of the continuous coupled algebraic Riccati matrix equation. Zbl 1245.93059
Liu, Jianzhou; Zhang, Juan
2011
New lower solution bounds for the continuous algebraic Riccati equation. Zbl 1223.15021
Zhang, Juan; Liu, Jianzhou
2011
Meshless study of dynamic failure in shells. Zbl 1254.74117
Liu, J.
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
2011
On zero-pattern invariant properties of structured matrices. Zbl 1225.15028
Huang, Rong; Liu, Jianzhou
2011
The dominant degree and disc theorem for the Schur complement of matrix. Zbl 1189.15023
Liu, Jianzhou; Huang, Zejun; Zhang, Juan
2010
The Schur complements of $$\gamma$$-diagonally and product $$\gamma$$-diagonally dominant matrix and their disc separation. Zbl 1186.15016
Liu, Jianzhou; Huang, Zejun
2010
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1207.15015
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2010
On Schur complements of sign regular matrices of order $$k$$. Zbl 1217.15041
Huang, Rong; Liu, Jianzhou
2010
A semi-analytical method for bending, buckling, and free vibration analyses of sandwich panels with square-honeycomb cores. Zbl 1271.74095
Liu, J.; Cheng, Y. S.; Li, R. F.; Au, F. T. K.
2010
Matrix bounds for the solution of the continuous algebraic Riccati equation. Zbl 1210.15016
Zhang, Juan; Liu, Jianzhou
2010
Criteria and Schur complements of $$H$$-matrices. Zbl 1188.15026
Liu, Jianzhou; Zhang, Fuzhen
2010
Characterizations of inverse $$M$$-matrices with special zero patterns. Zbl 1195.15037
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing
2010
New estimates for the solution of the Lyapunov matrix differential equation. Zbl 1217.93135
Zhang, Juan; Liu, Jianzhou
2010
Inversion algorithms for large-scale geophysical electromagnetic measurements. Zbl 1181.35317
Abubakar, A.; Habashy, T. M.; Li, M.; Liu, J.
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
2009
New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. Zbl 1176.15030
Liu, Jianzhou; Zhang, Juan
2009
$$\alpha$$-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
2009
Love waves in a smart functionally graded piezoelectric composite structure. Zbl 1397.74106
Liu, J.; Cao, X. S.; Wang, Z. K.
2009
Parametric estimation of mixtures of two uniform distributions. Zbl 1169.62011
Hussein, A.; Liu, J.
2009
Robust solutions for network design under transportation cost and demand uncertainty. Zbl 1153.90341
Mudchanatongsuk, S.; Ordóñez, F.; Liu, J.
2008
Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices. Zbl 1133.15020
Liu, Jianzhou; Li, Jicheng; Huang, Zhuohong; Kong, Xu
2008
Simple criteria for generalized diagonally dominant matrices. Zbl 1151.65024
Liu, Jianzhou; He, Anqi
2008
A new trace bound for a general square matrix product. Zbl 1366.15007
Liu, Jianzhou; He, Lingli
2007
An interleaved iterative criterion for $$H$$-matrices. Zbl 1132.65023
Liu, Jianzhou; He, Anqi
2007
Some inequalities for eigenvalues of Schur complements of Hermitian matrices. Zbl 1108.15019
Liu, Jianzhou; Huang, Yunqing; Liao, Anping
2006
A new algorithmic characterization of $$H$$-matrices. Zbl 1115.65046
Liu, Jianzhou; He, Anqi
2006
A fuzzy adaptive differential evolution algorithm. Zbl 1076.93513
Liu, J.; Lampinen, J.
2005
Disc separation of the Schur complement of diagonally dominant matrices and determinantal bounds. Zbl 1107.15022
Liu, Jianzhou; Zhang, Fuzhen
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.
2005
Stopping at the maximum of geometric Brownian motion when signals are received. Zbl 1094.60030
Guo, Xin; Liu, J.
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.
2005
High-resolution schemes for bubbling flow computations. Zbl 1163.76394
Zhao, X.; Richards, P. G.; Zhang, S. J.; Liu, J.
2005
Some properties on Schur complements of H-matrices and diagonally dominant matrices. Zbl 1068.15004
Liu, Jianzhou; Huang, Yunqing
2004
The Schur complements of generalized doubly diagonally dominant matrices. Zbl 1051.15016
Liu, Jianzhou; Huang, Yunqing; Zhang, Fuzhen
2004
Statistical inference based on non-smooth estimating functions. Zbl 1064.62026
Tian, L.; Liu, J.; Zhao, Y.; Wei, L. J.
2004
Periodic solutions of evolution equations. Zbl 1071.34056
Ezzinbi, K.; Naito, T.; Minh, N.; Liu, J.
2004
Transient anti-plane crack problem of a functionally graded piezoelectric strip bonded to elastic layers. Zbl 1063.74088
Chen, J.; Soh, A. K.; Liu, J.; Liu, Z. X.
2004
Buckling of shallow spherical shells including the effects of transverse shear deformation. Zbl 1045.74524
Li, Q. S.; Liu, J.; Tang, J.
2003
Fault detection method for nonlinear systems based on probabilistic neural network filtering. Zbl 1031.93083
Liu, J.; Scherpen, J. M. A.
2002
Parallel algorithms for particles-turbulence two-way interaction direct numerical simulation. Zbl 1007.68208
Ling, W.; Liu, J.; Chung, J. N.; Crowe, C. T.
2002
Inter-transactional association rules for multi-dimensional contexts for prediction and their application to studying meteorological data. Zbl 0974.68043
Feng, L.; Dillon, T.; Liu, J.
2001
Wavelet theory and its application to pattern recognition. Zbl 0969.68133
Tang, Y. Y.; Yang, L. H.; Liu, J.; Ma, H.
2000
Some results on Oppenheim’s inequalities for M-matrices. Zbl 0961.15015
Yang, Zhongpeng; Liu, Jianzhou
2000
Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. Zbl 0941.15017
Liu, Jianzhou
1999
Some inequalities for Schur complements. Zbl 0941.15018
Liu, Jianzhou; Wang, Jian
1999
Some Löwner partial orders of Schur complements and Kronecker products of matrices. Zbl 0936.15016
Liu, Jianzhou
1999
Some estimates for correlation coefficients of a system of random vectors. Zbl 0920.62070
Liu, Jianzhou
1999
Computational techniques for complex transport phenomena. Zbl 0920.76003
Shyy, W.; Thakur, S. S.; Ouyang, H.; Blosch, E.; Liu, J.
1998
Some interlacing properties of Schur complements of quaternion self-conjugate matrices. Zbl 0926.15015
Liu, Jianzhou; Yuan, Xiuyu
1998
Porohyperelastic-transport-swelling theory, material properties and finite element models for large arteries. Zbl 0968.74561
Simon, B. R.; Kaufman, M. V.; Liu, J.; Baldwin, A. L.
1998
On a threshold autoregression with conditional heteroscedastic variances. Zbl 0921.62113
Liu, J.; Li, W. K.; Li, C. W.
1997
The extension of Roth’s theorem for matrix equations over a ring. Zbl 0880.15016
Huang, Liping; Liu, Jianzhou
1997
A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices. Zbl 0885.15010
Liu, Jianzhou; Zhu, Li
1997
Some improvement of Oppenheim’s inequality for $$M$$-matrices. Zbl 0874.15015
Liu, Jianzhou; Zhu, Li
1997
Assessment of grid interface treatments for multi-block incompressible viscous flow computation. Zbl 0888.76057
Liu, J.; Shyy, W.
1996
Variable structure control using system decomposition. Zbl 0770.93015
Zohdy, M.; Fadali, M. S.; Liu, J.
1992
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#### Cited by 737 Authors

 26 Liu, Jianzhou 12 Ma, Changfeng 11 Peña, Juan Manuel 11 Shyy, Wei 11 Zhang, Juan 8 Alonso, Pedro 8 Serrano, María Luisa 6 Huang, Rong 6 Li, Yaotang 6 Zhang, Huamin 5 Cvetković, Ljiljana 5 Tseng, Chienchou 5 Wang, Xiaojun 5 Zhang, Chengyi 4 Cline, Daren B. H. 4 Gao, Cunchen 4 Jiang, Chao 4 Kao, Yonggui 4 Li, Chaoqian 4 Li, Yunlong 4 Liu, Zhen 4 Nedović, Maja 4 Wang, Guoyu 4 Wang, Lei 4 Wu, Aiguo 4 Xie, Yajun 4 Zhao, Jianxing 3 Duan, Guangren 3 Feng, Gang 3 Huang, Na 3 Huang, Zejun 3 Huang, Zhuohong 3 Kang, Zhan 3 Kumar Das, Manab 3 Li, Gang 3 Li, Jicheng 3 Liao, Anping 3 Ni, Bingyu 3 Pramanik, Shantanu 3 Wang, Chong 3 Wang, Feng 3 Xu, Menghui 3 Zheng, Bing 2 Arcoumanis, C. 2 Banu, S. Mehar 2 Baragona, Roberto 2 Bayoumi, Ahmed M. E. 2 Bi, Hai 2 Bi, Rengui 2 Blanchini, Franco 2 Boizot, Nicolas 2 Bru, Rafael 2 Busvelle, Éric 2 Chen, Shencan 2 Chiou, Suh-Wen 2 Chung, Byung Do 2 Deng, Zhongmin 2 Dick, Erik 2 Ding, Feng 2 Du, Wenbo 2 Ezzinbi, Khalil 2 Farid, Farid O. 2 Gao, Lei 2 Garbey, Marc 2 Garde, Henrik 2 Gavaises, Manolis 2 Giménez, Isabel 2 Grigorenko, Alexander Ya. 2 Guo, Zhaopu 2 Gupta, Amit Kumar 2 Han, Xu 2 Hao, Peng 2 Ho, Wenhsien 2 Hu, Hao 2 Huang, Baohua 2 Huang, Yunqing 2 Huang, Zhengge 2 Jiang, Cheng-Dong 2 Jiang, Yanping 2 Knudsen, Kim M. 2 Kundalwal, S. I. 2 Lempa, Jukka 2 Li, Wai Keung 2 Li, Ying 2 Li, Yueqiu 2 Liang, Xia 2 Ling, Shiqing 2 Liu, Jie 2 Liu, Qilong 2 Liu, Xiaoxiao 2 Lu, Quan 2 Luo, Shuanghua 2 Lv, Changqing 2 Mallipeddi, Rammohan 2 Mannseth, Trond 2 Medeiros, Marcelo C. 2 Meng, Zeng 2 Nerinckx, Krista 2 Ni, Boyu 2 Poss, Michael ...and 637 more Authors
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#### Cited in 123 Serials

 30 Applied Mathematics and Computation 23 Linear Algebra and its Applications 19 Applied Mathematical Modelling 14 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 11 Journal of Computational Physics 10 Acta Mechanica 10 Asian Journal of Control 9 Computers & Mathematics with Applications 8 Journal of Inequalities and Applications 7 Journal of the Franklin Institute 7 Linear and Multilinear Algebra 7 European Journal of Operational Research 7 Mathematical Problems in Engineering 6 Automatica 6 Information Sciences 6 Computers & Operations Research 5 International Journal for Numerical Methods in Fluids 5 Acta Mechanica Sinica 4 Computers and Fluids 4 International Journal of Control 4 Journal of Global Optimization 4 Journal of Applied Mathematics and Computing 3 Advances in Applied Probability 3 International Journal of Heat and Mass Transfer 3 Inverse Problems 3 Networks 3 International Journal of Computer Mathematics 3 Computational and Applied Mathematics 3 Soft Computing 3 European Journal of Mechanics. A. Solids 3 Journal of Applied Mathematics 3 Advances in Difference Equations 3 Networks and Spatial Economics 2 International Journal of Systems Science 2 Journal of Fluid Mechanics 2 Scandinavian Journal of Statistics 2 Journal of Econometrics 2 Journal of Time Series Analysis 2 Numerical Algorithms 2 Journal of Statistical Computation and Simulation 2 Pattern Recognition 2 Computational Statistics and Data Analysis 2 Computational Optimization and Applications 2 International Applied Mechanics 2 Annals of Mathematics and Artificial Intelligence 2 Complexity 2 Engineering Analysis with Boundary Elements 2 Nonlinear Dynamics 2 Econometric Theory 2 Nonlinear Analysis. Modelling and Control 2 International Journal of Computational Methods 2 Journal of Industrial and Management Optimization 2 Inverse Problems and Imaging 2 Algorithms 2 Journal of Control Science and Engineering 2 International Journal of Structural Stability and Dynamics 2 Open Mathematics 1 Biological Cybernetics 1 The Canadian Journal of Statistics 1 General Relativity and Gravitation 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Notes 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Statistical Planning and Inference 1 Naval Research Logistics 1 Journal of Information & Optimization Sciences 1 Systems & Control Letters 1 Statistics & Probability Letters 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Econometric Reviews 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Mathematical Programming. Series A. Series B 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Top 1 International Transactions in Operational Research 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Combinatorial Optimization 1 Mechanism and Machine Theory ...and 23 more Serials
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#### Cited in 32 Fields

 107 Linear and multilinear algebra; matrix theory (15-XX) 103 Numerical analysis (65-XX) 67 Operations research, mathematical programming (90-XX) 60 Mechanics of deformable solids (74-XX) 47 Systems theory; control (93-XX) 37 Statistics (62-XX) 30 Fluid mechanics (76-XX) 22 Computer science (68-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Ordinary differential equations (34-XX) 15 Probability theory and stochastic processes (60-XX) 14 Partial differential equations (35-XX) 10 Biology and other natural sciences (92-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)