## Liu, Jianzhou

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 Author ID: liu.jianzhou Published as: Liu, Jianzhou; Liu, Jian Zhou; Liu, Jian-Zhou more...less
 Documents Indexed: 197 Publications since 1975, including 1 Book Co-Authors: 64 Co-Authors with 127 Joint Publications 2,157 Co-Co-Authors
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### Co-Authors

 12 single-authored 30 Zhang, Juan 11 Huang, Rong 10 Xie, Qingming 10 Zhu, Li 8 He, Anqi 6 Huang, Zejun 6 Liu, Yu 5 Wang, Leilei 5 Xiong, Liang 4 Ding, Biwen 4 Huang, Zhuohong 4 Wang, Li 4 Zhou, Lixin 3 Cao, Yanhua 3 Guo, Aili 3 Huang, Hao 3 Huang, Yunqing 3 Li, Quanbing 3 Mo, Hongmin 3 Xiong, Yebo 3 Xu, Yinghong 3 Xue, Yuan 3 Zhang, Fuzhen 2 Abubakar, Aria 2 Billings, Stephen A. 2 Brady, B. H. G. 2 Fadali, M. Sami 2 Habashy, Tarek M. 2 He, Lingli 2 Liang, Kaifu 2 Liao, Anping 2 Luo, Fangfang 2 Lyu, Zhenhua 2 Shyy, Wei 2 Tu, Gen 2 Tuo, Qing 2 Zeng, Wenlong 1 Alshal, Hassan 1 Au, F. T. K. 1 Ayyaswamy, Portonovo S. 1 Bai, Ying 1 Baldwin, A. L. 1 Baral, Purna C. 1 Blosch, Edwin L. 1 Bosco, E. 1 Brown, Robert W. 1 Cao, Xiaoshan 1 Cheng, Yuansheng 1 Chu, Shan 1 Chung, Jacob N. 1 Crowe, Clayton T. 1 Curtright, Thomas L. 1 Delmas, Patrice 1 Dostert, Paul 1 Eckmann, David M. 1 Elsworth, Derek 1 Ezzinbi, Khalil 1 Fan, F. X. 1 Fang, Z. Q. 1 Han, Junlin 1 Hu, Guoming 1 Hu, Zhi 1 Huang, Liping 1 Jiang, Mingjing 1 Kaufman, M. V. 1 Kong, Xu 1 Korakianitis, Theodosios 1 Kuang, Qiaoying 1 Leclercq, Ph. 1 Li, Guangqi 1 Li, Jicheng 1 Li, Jing 1 Li, Maokun 1 Ling, Wei 1 Liu, Y. 1 Liu, Yun 1 Long, Shunchao 1 Ma, Yanbo 1 Mudchanatongsuk, S. 1 Naito, Toshiki 1 Nguyen Van Minh 1 Ordóñez, Fernando 1 Ouyang, Hong 1 Pan, Jinsong 1 Qin, Qi 1 Quan, Hongzheng 1 Radhakrishnan, Ravi 1 Rashedi, Muhammad Eshaq 1 Redkar, Sangram 1 Richards, Paul G. 1 Scherpen, Jacquelien M. A. 1 Shah, V. L. 1 Shen, Jianxin 1 Simon, B. R. 1 Sinha, Subhash C. 1 Su, An Bing 1 Suiker, Akke S. J. 1 Sze, Nung-Sing 1 Tamang, Karan 1 Tang, Hua ...and 26 more Co-Authors
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### Serials

 17 Linear Algebra and its Applications 10 Chinese Journal of Engineering Mathematics 8 Applied Mathematics and Computation 6 International Journal of Control 6 Numerical Mathematics 6 Natural Science Journal of Xiangtan University 6 Journal of Inequalities and Applications 5 Journal of Mathematical Research & Exposition 5 IMA Journal of Mathematical Control and Information 4 Mathematics in Practice and Theory 4 International Journal of Computer Mathematics 4 ELA. The Electronic Journal of Linear Algebra 4 Asian Journal of Control 3 International Journal of Systems Science 3 IEEE Transactions on Automatic Control 3 Bulletin of the Iranian Mathematical Society 3 SIAM Journal on Matrix Analysis and Applications 3 Computational and Applied Mathematics 2 Applied Scientific Research 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Inverse Problems 2 Acta Mathematica Sinica 2 Journal of Mathematics. Wuhan University 2 Acta Mathematicae Applicatae Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 International Journal of Production Research 2 Mathematica Applicata 2 Numerical Algorithms 2 Applied Mathematics. Series A (Chinese Edition) 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Journal of Applied Mathematics and Computing 2 Journal of Mathematical Inequalities 2 International Journal of Structural Stability and Dynamics 2 East Asian Journal on Applied Mathematics 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Biological Cybernetics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 European Journal of Physics 1 International Journal of Mechanical Sciences 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of the Mechanics and Physics of Solids 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Acta Cybernetica 1 Automatica 1 Biometrika 1 BIT 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of the Operational Research Society 1 Journal of Statistical Planning and Inference 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 Computational Mechanics 1 Journal of Parallel and Distributed Computing 1 Data & Knowledge Engineering 1 Multidimensional Systems and Signal Processing 1 IEEE Transactions on Signal Processing 1 Applied Mathematical Modelling 1 Journal of Statistical Computation and Simulation 1 International Journal of Robust and Nonlinear Control 1 Soft Computing 1 Mechanism and Machine Theory 1 Journal of Mathematical Study 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Theory and Application 1 Journal of Northwest Normal University. Natural Science 1 Nonlinear Analysis. Modelling and Control 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Scientiae Mathematicae Japonicae 1 Applied Mathematics E-Notes 1 Quantum Information Processing 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 Acta Mechanica Sinica 1 Applications and Applied Mathematics 1 Numerical Mathematics: Theory, Methods and Applications
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### Fields

 112 Linear and multilinear algebra; matrix theory (15-XX) 50 Numerical analysis (65-XX) 26 Systems theory; control (93-XX) 15 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 6 Computer science (68-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

100 Publications have been cited 340 times in 185 Documents Cited by Year
A fuzzy adaptive differential evolution algorithm. Zbl 1076.93513
Liu, J.; Lampinen, J.
2005
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
Computational techniques for complex transport phenomena. Zbl 0920.76003
Shyy, W.; Thakur, S. S.; Ouyang, H.; Blosch, E.; Liu, J.
1998
Robust solutions for network design under transportation cost and demand uncertainty. Zbl 1153.90341
Mudchanatongsuk, S.; Ordóñez, F.; Liu, J.
2008
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
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
Term and variable selection for nonlinear system identification. Zbl 1050.93506
Wei, H. L.; Billings, S. A.; Liu, J.
2004
The dominant degree and disc theorem for the Schur complement of matrix. Zbl 1189.15023
Liu, Jianzhou; Huang, Zejun; Zhang, Juan
2010
Nonsingular almost strictly sign regular matrices. Zbl 1246.15032
Huang, Rong; Liu, Jianzhou; Zhu, Li
2012
Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment. Zbl 1303.93090
Yang, Chunlei; Liu, Jianzhou; Liu, Yu
2012
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
The Schur complements of $$\gamma$$-diagonally and product $$\gamma$$-diagonally dominant matrix and their disc separation. Zbl 1186.15016
Liu, Jianzhou; Huang, Zejun
2010
New solution bounds for the continuous algebraic Riccati equation. Zbl 1259.15021
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2011
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
The extension of Roth’s theorem for matrix equations over a ring. Zbl 0880.15016
Huang, Liping; Liu, Jianzhou
1997
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. Zbl 1207.15015
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2010
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
Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices. Zbl 0941.15017
Liu, Jianzhou
1999
The Schur complement of strictly doubly diagonally dominant matrices and its application. Zbl 1248.15018
Liu, Jianzhou; Zhang, Juan; Liu, Yu
2012
Some inequalities for eigenvalues of Schur complements of Hermitian matrices. Zbl 1108.15019
Liu, Jianzhou; Huang, Yunqing; Liao, Anping
2006
A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices. Zbl 0885.15010
Liu, Jianzhou; Zhu, Li
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.
2005
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
On Schur complements of sign regular matrices of order $$k$$. Zbl 1217.15041
Huang, Rong; Liu, Jianzhou
2010
Finite block method in fracture analysis with functionally graded materials. Zbl 1403.74084
Li, J.; Liu, J. Z.; Korakianitis, T.; Wen, P. H.
2017
A new $$C$$-eigenvalue localisation set for piezoelectric-type tensors. Zbl 1464.15019
Xiong, Liang; Liu, Jianzhou
2020
Buckling of shallow spherical shells including the effects of transverse shear deformation. Zbl 1045.74524
Li, Q. S.; Liu, J.; Tang, J.
2003
Statistical inference based on non-smooth estimating functions. Zbl 1064.62026
Tian, L.; Liu, J.; Zhao, Y.; Wei, L. J.
2004
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
Inversion algorithms for large-scale geophysical electromagnetic measurements. Zbl 1181.35317
Abubakar, A.; Habashy, T. M.; Li, M.; Liu, J.
2009
New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation. Zbl 1380.93163
Liu, Jianzhou; Wang, Li; Zhang, Juan
2017
Accurate solutions of diagonally dominant tridiagonal linear systems. Zbl 1310.65032
Huang, Rong; Liu, Jianzhou; Zhu, Li
2014
Love waves in a smart functionally graded piezoelectric composite structure. Zbl 1397.74106
Liu, J.; Cao, X. S.; Wang, Z. K.
2009
New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation. Zbl 1286.93085
Liu, Jianzhou; Zhang, Juan
2014
A new trace bound for a general square matrix product. Zbl 1366.15007
Liu, Jianzhou; He, Lingli
2007
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
Variable structure control using system decomposition. Zbl 0770.93015
Zohdy, M.; Fadali, M. S.; Liu, J.
1992
Some improvement of Oppenheim’s inequality for $$M$$-matrices. Zbl 0874.15015
Liu, Jianzhou; Zhu, Li
1997
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
Some inequalities for Schur complements. Zbl 0941.15018
Liu, Jianzhou; Wang, Jian
1999
Periodic solutions of evolution equations. Zbl 1071.34056
Ezzinbi, K.; Naito, T.; Minh, N.; Liu, J.
2004
Matrix bounds for the solution of the continuous algebraic Riccati equation. Zbl 1210.15016
Zhang, Juan; 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
Simple criteria for generalized diagonally dominant matrices. Zbl 1151.65024
Liu, Jianzhou; He, Anqi
2008
The closure property of $$\mathcal{H}$$-tensors under the Hadamard product. Zbl 1375.15039
Zhou, Lixin; Liu, Jianzhou; Zhu, Li
2017
Joint inversion approaches for geophysical electromagnetic and elastic full-waveform data. Zbl 1239.86009
Abubakar, A.; Gao, G.; Habashy, T. M.; Liu, J.
2012
Analogues of some determinantal inequalities for sector matrices. Zbl 1407.15022
Liu, J.; Sheng, X.
2018
$$Z$$-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. Zbl 1449.15026
Xiong, Liang; Liu, Jianzhou
2020
Some results on Oppenheim’s inequalities for M-matrices. Zbl 0961.15015
Yang, Zhongpeng; Liu, Jianzhou
2000
Global exponential stability of positive periodic solutions for a cholera model with saturated treatment. Zbl 1416.92166
Quan, Hongzheng; Zhou, Xueyong; Liu, Jianzhou
2018
New estimates for the solution of the Lyapunov matrix differential equation. Zbl 1217.93135
Zhang, Juan; Liu, Jianzhou
2010
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
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
2017
Distributed adaptive high-gain extended Kalman filtering for nonlinear systems. Zbl 1381.93096
Rashedi, M.; Liu, J.; Huang, B.
2017
Several criteria for judging $$H$$- and non-$$H$$-matrices. Zbl 1384.15010
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua
2016
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
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
Parametric estimation of mixtures of two uniform distributions. Zbl 1169.62011
Hussein, A.; Liu, J.
2009
New lower solution bounds for the continuous algebraic Riccati equation. Zbl 1223.15021
Zhang, Juan; Liu, Jianzhou
2011
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
Assessment of grid interface treatments for multi-block incompressible viscous flow computation. Zbl 0888.76057
Liu, J.; Shyy, W.
1996
An adaptive nested complex source beam method for electromagnetic scattering of composite conducting-dielectric objects. Zbl 1464.78010
Wang, K. C.; Liu, J.; Xu, J. H.; Fan, X. T.; Zhang, L. R.
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
2020
Meshless study of dynamic failure in shells. Zbl 1254.74117
Liu, J.
2011
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
Characterizations of inverse $$M$$-matrices with special zero patterns. Zbl 1195.15037
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing
2010
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
An upgraded CFD-DEM investigation on the liquefaction mechanism of sand under cyclic loads. Zbl 1381.76285
Jiang, M. J.; Liu, J.; Sun, C.
2017
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
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
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
A new non-parameter criterion for H-matrices. Zbl 1147.65035
He, Anqi; Liu, Jianzhou
2008
Prediction of ground vibration from high speed trains using a vehicle-track-ground coupling model. Zbl 1359.74167
Yao, H. L.; Hu, Z.; Lu, Z.; Zhan, Y. X.; Liu, J.
2016
A new algorithmic characterization of $$H$$-matrices. Zbl 1115.65046
Liu, Jianzhou; He, Anqi
2006
An interleaved iterative criterion for $$H$$-matrices. Zbl 1132.65023
Liu, Jianzhou; He, Anqi
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.
2005
High-resolution schemes for bubbling flow computations. Zbl 1163.76394
Zhao, X.; Richards, P. G.; Zhang, S. J.; Liu, J.
2005
On zero-pattern invariant properties of structured matrices. Zbl 1225.15028
Huang, Rong; Liu, Jianzhou
2011
Multi-scale modelling of granular materials: numerical framework and study on micro-structural features. Zbl 1464.74041
Liu, J.; Bosco, E.; Suiker, A. S. J.
2019
New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation. Zbl 1422.15005
Zhang, Juan; Liu, Jianzhou
2015
Closed-form solutions of unsteady two-fluid flow in a tube. Zbl 1418.76060
Liu, J.; Wang, C. Y.
2019
The conducting ring viewed as a wormhole. Zbl 1421.78009
Curtright, T.; Alshal, H.; Baral, P.; Huang, S.; Liu, J.; Tamang, K.; Zhang, X.; Zhang, Y.
2019
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
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
Some Löwner partial orders of Schur complements and Kronecker products of matrices. Zbl 0936.15016
Liu, Jianzhou
1999
Fault detection method for nonlinear systems based on probabilistic neural network filtering. Zbl 1031.93083
Liu, J.; Scherpen, J. M. A.
2002
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
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
Accurate solutions of structured generalized Kronecker product linear systems. Zbl 1469.65069
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou
2021
Norm estimates for the inverses of strictly diagonally dominant $$M$$-matrices and linear complementarity problems. Zbl 1478.15030
Xiong, Yebo; Liu, Jianzhou
2021
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
2020
The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. Zbl 1478.15025
Zhang, Juan; Liu, Jianzhou
2019
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
2020
The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation. Zbl 1417.93145
Zhang, Juan; Liu, Jianzhou; Zha, Yaling
2017
Accurate solutions of structured generalized Kronecker product linear systems. Zbl 1469.65069
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou
2021
Norm estimates for the inverses of strictly diagonally dominant $$M$$-matrices and linear complementarity problems. Zbl 1478.15030
Xiong, Yebo; Liu, Jianzhou
2021
A new $$C$$-eigenvalue localisation set for piezoelectric-type tensors. Zbl 1464.15019
Xiong, Liang; Liu, Jianzhou
2020
$$Z$$-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. Zbl 1449.15026
Xiong, Liang; Liu, Jianzhou
2020
An adaptive nested complex source beam method for electromagnetic scattering of composite conducting-dielectric objects. Zbl 1464.78010
Wang, K. C.; Liu, J.; Xu, J. H.; Fan, X. T.; Zhang, L. R.
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
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
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
2020
Multi-scale modelling of granular materials: numerical framework and study on micro-structural features. Zbl 1464.74041
Liu, J.; Bosco, E.; Suiker, A. S. J.
2019
Closed-form solutions of unsteady two-fluid flow in a tube. Zbl 1418.76060
Liu, J.; Wang, C. Y.
2019
The conducting ring viewed as a wormhole. Zbl 1421.78009
Curtright, T.; Alshal, H.; Baral, P.; Huang, S.; Liu, J.; Tamang, K.; Zhang, X.; Zhang, Y.
2019
The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. Zbl 1478.15025
Zhang, Juan; Liu, Jianzhou
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
Analogues of some determinantal inequalities for sector matrices. Zbl 1407.15022
Liu, J.; Sheng, X.
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
The closure property of $$\mathcal{H}$$-tensors under the Hadamard product. Zbl 1375.15039
Zhou, Lixin; Liu, Jianzhou; Zhu, Li
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
2017
Distributed adaptive high-gain extended Kalman filtering for nonlinear systems. Zbl 1381.93096
Rashedi, M.; Liu, J.; Huang, B.
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
An upgraded CFD-DEM investigation on the liquefaction mechanism of sand under cyclic loads. Zbl 1381.76285
Jiang, M. J.; Liu, J.; Sun, C.
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
The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation. Zbl 1417.93145
Zhang, Juan; Liu, Jianzhou; Zha, Yaling
2017
Several criteria for judging $$H$$- and non-$$H$$-matrices. Zbl 1384.15010
Liu, Jianzhou; Wang, Leilei; Lyu, Zhenhua
2016
Prediction of ground vibration from high speed trains using a vehicle-track-ground coupling model. Zbl 1359.74167
Yao, H. L.; Hu, Z.; Lu, Z.; Zhan, Y. X.; Liu, J.
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
New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation. Zbl 1422.15005
Zhang, Juan; Liu, Jianzhou
2015
Accurate solutions of diagonally dominant tridiagonal linear systems. Zbl 1310.65032
Huang, Rong; Liu, Jianzhou; Zhu, Li
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
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
Nonsingular almost strictly sign regular matrices. Zbl 1246.15032
Huang, Rong; Liu, Jianzhou; Zhu, Li
2012
Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment. Zbl 1303.93090
Yang, Chunlei; Liu, Jianzhou; Liu, Yu
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
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
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
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
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
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
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
Matrix bounds for the solution of the continuous algebraic Riccati equation. Zbl 1210.15016
Zhang, Juan; 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
New estimates for the solution of the Lyapunov matrix differential equation. Zbl 1217.93135
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 trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. Zbl 1176.15030
Liu, Jianzhou; Zhang, Juan
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
Inversion algorithms for large-scale geophysical electromagnetic measurements. Zbl 1181.35317
Abubakar, A.; Habashy, T. M.; Li, M.; Liu, J.
2009
Love waves in a smart functionally graded piezoelectric composite structure. Zbl 1397.74106
Liu, J.; Cao, X. S.; Wang, Z. K.
2009
$$\alpha$$-diagonally dominant and criteria for generalized strictly diagonally dominant matrices. Zbl 1199.15097
Zhang, Yuelang; Mo, Hongmin; Liu, Jianzhou
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 non-parameter criterion for H-matrices. Zbl 1147.65035
He, Anqi; Liu, Jianzhou
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
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
Term and variable selection for nonlinear system identification. Zbl 1050.93506
Wei, H. L.; Billings, S. A.; Liu, J.
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
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
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 estimates for correlation coefficients of a system of random vectors. Zbl 0920.62070
Liu, Jianzhou
1999
Some Löwner partial orders of Schur complements and Kronecker products of matrices. Zbl 0936.15016
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 236 Authors

 33 Liu, Jianzhou 15 Ma, Changfeng 13 Zhang, Juan 12 Peña, Juan Manuel 10 Serrano, María Luisa 9 Alonso, Pedro 9 Zhao, Jianxing 7 Huang, Rong 7 Li, Yaotang 6 Zhang, Huamin 5 Cvetković, Ljiljana 5 Li, Chaoqian 5 Wu, Aiguo 5 Zhang, Chengyi 4 Nedović, Maja 4 Sang, Caili 4 Xie, Yajun 3 Duan, Guangren 3 Feng, Gang 3 Gao, Lei 3 Hajarian, Masoud 3 Huang, Baohua 3 Huang, Na 3 Huang, Zejun 3 Huang, Zhuohong 3 Li, Jicheng 3 Liao, Anping 3 Liu, Qilong 3 Lv, Changqing 3 Lyu, Zhenhua 3 Wang, Feng 3 Wang, Li 3 Yang, Zhao 3 Zheng, Bing 3 Zhou, Lixin 2 Banu, S. Mehar 2 Bayoumi, Ahmed M. E. 2 Bru, Rafael 2 Chen, Shencan 2 Ding, Feng 2 Farid, Farid O. 2 Giménez, Isabel 2 Huang, Hao 2 Huang, Yunqing 2 Huang, Zhengge 2 Li, Ying 2 Liang, Chang 2 Liu, Wanquan 2 Lu, Quan 2 Luo, Fangfang 2 Luo, Shuanghua 2 Pascoe, James Eldred 2 Qin, Yingying 2 Ramadan, Mohamed Abdel-Latif 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, 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, Li 1 Abascal, Policarpo 1 Adm, Mohammad 1 Afshin, Hamidreza 1 Arcak, Murat 1 Ayyappan, Govindasamy 1 Bachelier, Olivier 1 Bai, Shunjie 1 Bai, Ying 1 Bashirizadeh, Maryam 1 Borrelli, Francesco 1 Cao, Chongguang 1 Cao, Hongbo 1 Cao, Jinde 1 Cao, Shujuan 1 Capone, Florinda 1 Carfora, Maria Francesca 1 Carpio, Ronaldo 1 Chen, Diyi 1 Chen, Feng 1 Chen, Xuesong 1 Chen, Zebin 1 Chen, Zhen 1 Chiang, Chun-Yueh 1 Chirikjian, Gregory S. 1 Chu, Delin 1 Chu, Shan 1 Corral, Cristina ...and 136 more Authors
all top 5

### Cited in 59 Serials

 24 Linear Algebra and its Applications 22 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 10 Journal of the Franklin Institute 9 Journal of Inequalities and Applications 8 Linear and Multilinear Algebra 8 Asian Journal of Control 7 Computers & Mathematics with Applications 6 International Journal of Computer Mathematics 6 Computational and Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Bulletin of the Iranian Mathematical Society 4 Numerical Algorithms 4 Mathematical Problems in Engineering 3 Advances in Difference Equations 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Industrial and Management Optimization 2 Journal of Mathematical Inequalities 1 International Journal of Control 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Automatica 1 BIT 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 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 Georgian Mathematical Journal 1 Complexity 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Vibration and Control 1 Abstract and Applied Analysis 1 Honam Mathematical Journal 1 Positivity 1 Nonlinear Analysis. Real World Applications 1 Mediterranean Journal of Mathematics 1 Frontiers of Mathematics in China 1 Operators and Matrices 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 ISRN Algebra 1 Open Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Cogent Mathematics & Statistics 1 Electronic Research Archive
all top 5

### Cited in 23 Fields

 142 Linear and multilinear algebra; matrix theory (15-XX) 78 Numerical analysis (65-XX) 29 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 6 Difference and functional equations (39-XX) 6 Operations research, mathematical programming (90-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)