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## Lu, Linzhang

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 Author ID: lu.linzhang Published as: Lu, L.; Lu, L. Z.; Lu, L.-Z.; Lu, Lin Zhang; Lu, Lin-Zhang; Lu, Lin-zhang; Lu, Linzhang
 Documents Indexed: 118 Publications since 1992
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#### Co-Authors

 9 single-authored 12 Niu, Qiang 10 Wang, Xiang 8 Chen, Zhen 7 Li, Rencang 7 Ng, Michael Kwok-Po 6 Lai, Jiangzhou 4 Pearce, Charles Edward Miller 4 Yang, Junjian 4 Zheng, Qingqing 4 Zhou, Jituan 3 Bai, Zhongzhi 3 Guan, Jinrui 3 Lin, Wen-Wei 3 Liu, Zhibing 3 Shi, Xiangyu 3 Teng, Zhongming 3 Wang, Ruirui 3 Wang, Teng 3 Wang, Xuansheng 3 Wu, Chunhong 2 He, Ming 2 Sun, Weiwei 2 Wang, Fuyi 2 Wang, Kanmin 2 Wang, Yuanyuan 2 Yuan, Fei 1 Ahmed, Zubair 1 Ching, Wai-Ki 1 Duan, Xuefeng 1 Elsner, Ludwig F. 1 Feng, Yuehua 1 Gao, Yonghua 1 Glineur, François 1 Golub, Gene Howard 1 Huang, Tsungming 1 Ji, Xingzhi 1 Jiang, Hong 1 Kong, Fanxu 1 Kuo, Yueh-Cheng 1 Li, Changwei 1 Li, Chunmei 1 Li, Guiqing 1 Li, Hongwei 1 Li, Wen 1 Lin, Furong 1 Lin, Wenwei 1 Lin, Xiuli 1 Lin, Yurui 1 Liu, Gang 1 Ma, Fei 1 Nie, Yongming 1 Pan, Junjun 1 Shao, Rongxia 1 Shen, Shuqian 1 Van Dooren, Paul M. 1 Wang, Qingwen 1 Xie, Xiaoyao 1 Xu, Hongguo 1 Xu, Shiji 1 Yang, Shengwei 1 Yin, Junfeng 1 Yin, Qian 1 Zhang, Meihong 1 Zhou, Xueqin 1 Zhu, Chuanxi 1 Zhuang, Pinghui
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#### Serials

 18 Journal of Xiamen University. Natural Science 11 Journal of Computational and Applied Mathematics 10 Applied Mathematics and Computation 8 Journal of Mathematical Study 7 Applied Mathematics Letters 6 Linear Algebra and its Applications 4 Numerical Mathematics 4 Mathematical Problems in Engineering 3 Numerical Mathematics 3 Journal of Computational Mathematics 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 Linear and Multilinear Algebra 2 IEEE Transactions on Automatic Control 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Computer Mathematics 2 Numerical Linear Algebra with Applications 2 Asian Journal of Control 1 IEEE Transactions on Information Theory 1 Journal of the Australian Mathematical Society, Series B 1 Numerische Mathematik 1 Journal of Lanzhou University. Natural Sciences 1 SIAM Journal on Matrix Analysis and Applications 1 Annals of Operations Research 1 Journal of Guizhou Normal University. Natural Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Journal of Computational Analysis and Applications 1 International Journal of Applied Mathematics 1 Journal of Fuzhou University. Natural Science Edition 1 Acta Mathematica Sinica. Chinese Series 1 Operators and Matrices 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 Annals of Functional Analysis 1 Journal of Chongqing Normal University. Natural Science
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#### Fields

 80 Numerical analysis (65-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 10 Systems theory; control (93-XX) 5 Partial differential equations (35-XX) 4 Operator theory (47-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Operations research, mathematical programming (90-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

64 Publications have been cited 483 times in 414 Documents Cited by Year
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
2005
A relaxed gradient based algorithm for solving Sylvester equations. Zbl 1242.65081
Niu, Qiang; Wang, Xiang; Lu, Lin-Zhang
2011
A projection method and Kronecker product preconditioner for solving Sylvester tensor equations. Zbl 1273.65048
Chen, Zhen; Lu, Linzhang
2012
Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory. Zbl 1072.15016
Lu, Lin-Zhang
2005
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065
Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang
2008
Newton iterations for a non-symmetric algebraic Riccati equation. Zbl 1164.65386
Lu, Lin-Zhang
2005
Combinative preconditioners for modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems. Zbl 1083.65098
Bai, Zhongzhi; Li, Guiqing; Lu, Linzhang
2004
A new iteration method for a class of complex symmetric linear systems. Zbl 1365.65087
Wang, Teng; Zheng, Qingqing; Lu, Linzhang
2017
Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems. Zbl 1382.65094
Wang, Teng; Lu, Linzhang
2016
Perron complement and Perron root. Zbl 0999.15009
Lu, Linzhang
2002
A gradient based iterative solutions for Sylvester tensor equations. Zbl 1299.65045
Chen, Zhen; Lu, Linzhang
2013
On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem. Zbl 1058.65046
Lu, Linzhang; Ng, Michael K.
2004
A shift-splitting preconditioner for a class of block two-by-two linear systems. Zbl 1356.65100
Zheng, Qingqing; Lu, Linzhang
2017
Some new bounds for singular values and eigenvalues of matrix products. Zbl 0979.15017
Lu, L.-Z.; Pearce, C. E. M.
2000
Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Zbl 0832.65042
Xu, Hongguo; Lu, Linzhang
1995
A tensor singular values and its symmetric embedding eigenvalues. Zbl 1285.15014
Chen, Zhen; Lu, Linzhang
2013
Extended shift-splitting preconditioners for saddle point problems. Zbl 1353.65027
Zheng, Qingqing; Lu, Linzhang
2017
Cluster-robust accuracy bounds for Ritz subspaces. Zbl 1320.15013
Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang
2015
The inverse eigenvalue problem of generalized reflexive matrices and its approximation. Zbl 1243.15006
Liu, Zhibing; Lu, Linzhang; Wang, Kanmin
2011
A fast algorithm for solving linear systems of the Pascal type. Zbl 1093.65031
Wang, Xiang; Lu, Linzhang
2006
Localization of Perron roots. Zbl 1067.15004
Lu, Linzhang; Ng, Michael K.
2004
Spectral properties of a class of matrix splitting preconditioners for saddle point problems. Zbl 1331.65059
Wang, Rui-Rui; Niu, Qiang; Ma, Fei; Lu, Lin-Zhang
2016
TP model transformation via sequentially truncated higher-order singular value decomposition. Zbl 1332.90062
Pan, Junjun; Lu, Linzhang
2015
A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. Zbl 1363.65097
Lu, Linzhang; Yuan, Fei; Li, Ren-Cang
2015
A refined Arnoldi type method for large scale eigenvalue problems. Zbl 1264.65057
Wang, Xiang; Niu, Qiang; Lu, Lin-Zhang
2013
A polynomial preconditioner for the CMRH algorithm. Zbl 1215.65060
Lai, Jiangzhou; Lu, Linzhang; Xu, Shiji
2011
On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues. Zbl 0942.65042
Lu, L. Z.; Sun, W. W.
1999
The minimal eigenvalues of a class of block-tridiagonal matrices. Zbl 0882.65023
Lu, Linzhang; Sun, W.
1997
An iterative algorithm for the solution of the discrete-time algebraic Riccati equation. Zbl 0779.65038
Lu, Lin-Zhang; Lin, Wen-Wei
1993
A fast algorithm for fast train palindromic quadratic eigenvalue problems. Zbl 1352.65121
Lu, Linzhang; Wang, Teng; Kuo, Yueh-Cheng; Li, Ren-Cang; Lin, Wen-Wei
2016
Accelerate weighted GMRES by augmenting error approximations. Zbl 1195.65039
Niu, Qiang; Lu, Linzhang; Zhou, Jituan
2010
Self-corrective iterations (SCI) for generalized diagonally dominant matrices. Zbl 1334.15096
Guan, Jinrui; Lu, Linzhang; Li, Ren-Cang; Shao, Rongxia
2016
A refined variant of the inverse-free Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1268.65050
Wang, Xiang; Lu, Lin-zhang; Niu, Qiang; Nie, Yong-ming
2013
Implicit numerical approximation scheme for the fractional Fokker-Planck equation. Zbl 1196.82101
Wu, Chunhong; Lu, Linzhang
2010
Approximation BFGS methods for nonlinear image restoration. Zbl 1167.65372
Lu, Lin-Zhang; Ng, Michael K.; Lin, Fu-Rong
2009
Preconditioned Lanczos method for generalized Toeplitz eigenvalue problems. Zbl 1175.65046
Wang, Yuan-Yuan; Lu, Lin-Zhang
2009
An invert-free Arnoldi method for computing interior eigenpairs of large matrices. Zbl 1125.65031
Niu, Qiang; Lu, Linzhang
2007
An implicity restarted block Arnoldi method in a vector-wise function. Zbl 1132.65031
Yin, Qian; Lu, Linzhang
2006
Factorizations of confluent Cauchy-Vandermonde matrices. Zbl 1108.65023
Wang, Xiang; Lu, Linzhang
2006
Effects of a parameter on a nonsymmetric algebraic Riccati equation. Zbl 1090.15012
Lu, Linzhang; Ng, Michael K.
2006
Comparisons of spectral radii and the theorem of Stein-Rosenberg. Zbl 0997.65060
Li, Wen; Elsner, Ludwig; Lu, Linzhang
2002
An efficient algorithm for the discrete-time algebraic Riccati equation. Zbl 0981.93021
Lu, L.-Z.; Lin, W.-W.; Pearce, C. E. M.
1999
Superconvergence analysis of an $$H^1$$-Galerkin mixed finite element method for nonlinear BBM equation. Zbl 1412.65154
Shi, Xiangyu; Lu, Linzhang
2019
Schatten $$q$$-norms and determinantal inequalities for matrices with numerical ranges in a sector. Zbl 07001299
Yang, Junjian; Lu, Linzhang; Chen, Zhen
2019
Optimal parameters for doubling algorithms. Zbl 1413.65138
Huang, Tsungming; Li, Rencang; Lin, Wenwei; Lu, Linzhang
2017
New alternately linearized implicit iteration for M-matrix algebraic Riccati equations. Zbl 1413.65133
Guan, Jinrui; Lu, Linzhang
2017
On semi-convergence of ULT iterative method for the singular saddle point problems. Zbl 1361.65019
Zheng, Qingqing; Lu, Linzhang
2016
The global convergence of modified DY conjugate gradient methods under the Wolfe line search. Zbl 1363.90248
Zhou, Xueqin; Lu, Linzhang
2016
Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications. Zbl 1382.65107
Wang, Xuansheng; Glineur, François; Lu, Linzhang; Van Dooren, Paul
2016
Perturbation of partitioned linear response eigenvalue problems. Zbl 1330.65060
Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang
2015
Accelerated GCRO-DR method for solving sequences of systems of linear equations. Zbl 1288.65040
Niu, Qiang; Lu, Lin-Zhang; Liu, Gang
2013
On simultaneously nilpotent antiring matrices. Zbl 1268.15029
Zhou, Jituan; Lu, Linzhang
2012
An effective initialization for orthogonal nonnegative matrix factorization. Zbl 1265.15028
Wang, Xuansheng; Xie, Xiaoyao; Lu, Linzhang
2012
Fast Gaussian elimination with pivoting for solving linear systems of rational Krylov matrices. Zbl 1228.65040
Wang, Xiang; Lu, Linzhang
2011
On several matrix Kantorovich-type inequalities. Zbl 1189.15031
Liu, Zhibing; Lu, Linzhang; Wang, Kanmin
2010
Structures of circulant inverse $$M$$-matrices. Zbl 1140.15315
Lin, Yurui; Lu, Linzhang
2007
Maximum inverse positive matrices. Zbl 1131.15021
Lu, Linzhang; Ng, Michael K.
2007
Restarted simpler GMRES augmented with approximate errors. Zbl 1108.65026
Li, Hongwei; Lu, Linzhang
2006
Exact algorithms for singular tridiagonal systems with applications to Markov chains. Zbl 1074.65032
Lu, Lin-Zhang; Ching, Wai-Ki; Ng, Michael K.
2004
Dynamic performance analysis of six-legged walking machines. Zbl 1047.70615
Zhao, Y. S.; Lu, L.; Zhao, T. S.; Du, Y. H.; Huang, Z.
2000
On an inverse singular value problem. Zbl 0949.65035
Lu, Linzhang; Sun, Weiwei
1999
Matrix bounds and simple iteration for the positive semidefinite solution to discrete-time algebraic Riccati equation. Zbl 0856.65046
Lu, Linzhang
1995
A boundary element formulation based on the three-dimensional elastostatic fundamental solution for the infinite layer. II: Three- dimensional examples. Zbl 0780.73092
Lu, L.; Benitez, F. G.; Rosakis, A. J.
1993
A boundary element formulation based on the three-dimensional elastostatic fundamental solution for the infinite layer. I: Theoretical and numerical development. Zbl 0780.73091
Benitez, F. G.; Lu, L.; Rosakis, A. J.
1993
Superconvergence analysis of an $$H^1$$-Galerkin mixed finite element method for nonlinear BBM equation. Zbl 1412.65154
Shi, Xiangyu; Lu, Linzhang
2019
Schatten $$q$$-norms and determinantal inequalities for matrices with numerical ranges in a sector. Zbl 07001299
Yang, Junjian; Lu, Linzhang; Chen, Zhen
2019
A new iteration method for a class of complex symmetric linear systems. Zbl 1365.65087
Wang, Teng; Zheng, Qingqing; Lu, Linzhang
2017
A shift-splitting preconditioner for a class of block two-by-two linear systems. Zbl 1356.65100
Zheng, Qingqing; Lu, Linzhang
2017
Extended shift-splitting preconditioners for saddle point problems. Zbl 1353.65027
Zheng, Qingqing; Lu, Linzhang
2017
Optimal parameters for doubling algorithms. Zbl 1413.65138
Huang, Tsungming; Li, Rencang; Lin, Wenwei; Lu, Linzhang
2017
New alternately linearized implicit iteration for M-matrix algebraic Riccati equations. Zbl 1413.65133
Guan, Jinrui; Lu, Linzhang
2017
Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems. Zbl 1382.65094
Wang, Teng; Lu, Linzhang
2016
Spectral properties of a class of matrix splitting preconditioners for saddle point problems. Zbl 1331.65059
Wang, Rui-Rui; Niu, Qiang; Ma, Fei; Lu, Lin-Zhang
2016
A fast algorithm for fast train palindromic quadratic eigenvalue problems. Zbl 1352.65121
Lu, Linzhang; Wang, Teng; Kuo, Yueh-Cheng; Li, Ren-Cang; Lin, Wen-Wei
2016
Self-corrective iterations (SCI) for generalized diagonally dominant matrices. Zbl 1334.15096
Guan, Jinrui; Lu, Linzhang; Li, Ren-Cang; Shao, Rongxia
2016
On semi-convergence of ULT iterative method for the singular saddle point problems. Zbl 1361.65019
Zheng, Qingqing; Lu, Linzhang
2016
The global convergence of modified DY conjugate gradient methods under the Wolfe line search. Zbl 1363.90248
Zhou, Xueqin; Lu, Linzhang
2016
Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications. Zbl 1382.65107
Wang, Xuansheng; Glineur, François; Lu, Linzhang; Van Dooren, Paul
2016
Cluster-robust accuracy bounds for Ritz subspaces. Zbl 1320.15013
Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang
2015
TP model transformation via sequentially truncated higher-order singular value decomposition. Zbl 1332.90062
Pan, Junjun; Lu, Linzhang
2015
A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. Zbl 1363.65097
Lu, Linzhang; Yuan, Fei; Li, Ren-Cang
2015
Perturbation of partitioned linear response eigenvalue problems. Zbl 1330.65060
Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang
2015
A gradient based iterative solutions for Sylvester tensor equations. Zbl 1299.65045
Chen, Zhen; Lu, Linzhang
2013
A tensor singular values and its symmetric embedding eigenvalues. Zbl 1285.15014
Chen, Zhen; Lu, Linzhang
2013
A refined Arnoldi type method for large scale eigenvalue problems. Zbl 1264.65057
Wang, Xiang; Niu, Qiang; Lu, Lin-Zhang
2013
A refined variant of the inverse-free Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1268.65050
Wang, Xiang; Lu, Lin-zhang; Niu, Qiang; Nie, Yong-ming
2013
Accelerated GCRO-DR method for solving sequences of systems of linear equations. Zbl 1288.65040
Niu, Qiang; Lu, Lin-Zhang; Liu, Gang
2013
A projection method and Kronecker product preconditioner for solving Sylvester tensor equations. Zbl 1273.65048
Chen, Zhen; Lu, Linzhang
2012
On simultaneously nilpotent antiring matrices. Zbl 1268.15029
Zhou, Jituan; Lu, Linzhang
2012
An effective initialization for orthogonal nonnegative matrix factorization. Zbl 1265.15028
Wang, Xuansheng; Xie, Xiaoyao; Lu, Linzhang
2012
A relaxed gradient based algorithm for solving Sylvester equations. Zbl 1242.65081
Niu, Qiang; Wang, Xiang; Lu, Lin-Zhang
2011
The inverse eigenvalue problem of generalized reflexive matrices and its approximation. Zbl 1243.15006
Liu, Zhibing; Lu, Linzhang; Wang, Kanmin
2011
A polynomial preconditioner for the CMRH algorithm. Zbl 1215.65060
Lai, Jiangzhou; Lu, Linzhang; Xu, Shiji
2011
Fast Gaussian elimination with pivoting for solving linear systems of rational Krylov matrices. Zbl 1228.65040
Wang, Xiang; Lu, Linzhang
2011
Accelerate weighted GMRES by augmenting error approximations. Zbl 1195.65039
Niu, Qiang; Lu, Linzhang; Zhou, Jituan
2010
Implicit numerical approximation scheme for the fractional Fokker-Planck equation. Zbl 1196.82101
Wu, Chunhong; Lu, Linzhang
2010
On several matrix Kantorovich-type inequalities. Zbl 1189.15031
Liu, Zhibing; Lu, Linzhang; Wang, Kanmin
2010
Approximation BFGS methods for nonlinear image restoration. Zbl 1167.65372
Lu, Lin-Zhang; Ng, Michael K.; Lin, Fu-Rong
2009
Preconditioned Lanczos method for generalized Toeplitz eigenvalue problems. Zbl 1175.65046
Wang, Yuan-Yuan; Lu, Lin-Zhang
2009
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1166.65065
Bai, Zhong-Zhi; Gao, Yong-Hua; Lu, Lin-Zhang
2008
An invert-free Arnoldi method for computing interior eigenpairs of large matrices. Zbl 1125.65031
Niu, Qiang; Lu, Linzhang
2007
Structures of circulant inverse $$M$$-matrices. Zbl 1140.15315
Lin, Yurui; Lu, Linzhang
2007
Maximum inverse positive matrices. Zbl 1131.15021
Lu, Linzhang; Ng, Michael K.
2007
A fast algorithm for solving linear systems of the Pascal type. Zbl 1093.65031
Wang, Xiang; Lu, Linzhang
2006
An implicity restarted block Arnoldi method in a vector-wise function. Zbl 1132.65031
Yin, Qian; Lu, Linzhang
2006
Factorizations of confluent Cauchy-Vandermonde matrices. Zbl 1108.65023
Wang, Xiang; Lu, Linzhang
2006
Effects of a parameter on a nonsymmetric algebraic Riccati equation. Zbl 1090.15012
Lu, Linzhang; Ng, Michael K.
2006
Restarted simpler GMRES augmented with approximate errors. Zbl 1108.65026
Li, Hongwei; Lu, Linzhang
2006
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
2005
Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory. Zbl 1072.15016
Lu, Lin-Zhang
2005
Newton iterations for a non-symmetric algebraic Riccati equation. Zbl 1164.65386
Lu, Lin-Zhang
2005
Combinative preconditioners for modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems. Zbl 1083.65098
Bai, Zhongzhi; Li, Guiqing; Lu, Linzhang
2004
On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem. Zbl 1058.65046
Lu, Linzhang; Ng, Michael K.
2004
Localization of Perron roots. Zbl 1067.15004
Lu, Linzhang; Ng, Michael K.
2004
Exact algorithms for singular tridiagonal systems with applications to Markov chains. Zbl 1074.65032
Lu, Lin-Zhang; Ching, Wai-Ki; Ng, Michael K.
2004
Perron complement and Perron root. Zbl 0999.15009
Lu, Linzhang
2002
Comparisons of spectral radii and the theorem of Stein-Rosenberg. Zbl 0997.65060
Li, Wen; Elsner, Ludwig; Lu, Linzhang
2002
Some new bounds for singular values and eigenvalues of matrix products. Zbl 0979.15017
Lu, L.-Z.; Pearce, C. E. M.
2000
Dynamic performance analysis of six-legged walking machines. Zbl 1047.70615
Zhao, Y. S.; Lu, L.; Zhao, T. S.; Du, Y. H.; Huang, Z.
2000
On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues. Zbl 0942.65042
Lu, L. Z.; Sun, W. W.
1999
An efficient algorithm for the discrete-time algebraic Riccati equation. Zbl 0981.93021
Lu, L.-Z.; Lin, W.-W.; Pearce, C. E. M.
1999
On an inverse singular value problem. Zbl 0949.65035
Lu, Linzhang; Sun, Weiwei
1999
The minimal eigenvalues of a class of block-tridiagonal matrices. Zbl 0882.65023
Lu, Linzhang; Sun, W.
1997
Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Zbl 0832.65042
Xu, Hongguo; Lu, Linzhang
1995
Matrix bounds and simple iteration for the positive semidefinite solution to discrete-time algebraic Riccati equation. Zbl 0856.65046
Lu, Linzhang
1995
An iterative algorithm for the solution of the discrete-time algebraic Riccati equation. Zbl 0779.65038
Lu, Lin-Zhang; Lin, Wen-Wei
1993
A boundary element formulation based on the three-dimensional elastostatic fundamental solution for the infinite layer. II: Three- dimensional examples. Zbl 0780.73092
Lu, L.; Benitez, F. G.; Rosakis, A. J.
1993
A boundary element formulation based on the three-dimensional elastostatic fundamental solution for the infinite layer. I: Theoretical and numerical development. Zbl 0780.73091
Benitez, F. G.; Lu, L.; Rosakis, A. J.
1993
all top 5

#### Cited by 549 Authors

 33 Ma, Changfeng 16 Lu, Linzhang 16 Zhang, Guofeng 15 Huang, Zhengge 15 Wang, Xiang 14 Bai, Zhongzhi 14 Cui, Jingjing 13 Xu, Zhong 12 Liang, Zhao-Zheng 12 Wang, Ligong 11 Cao, Yang 10 Niu, Qiang 9 Huang, Na 9 Wu, Yujiang 8 Chen, Guoliang 8 Fan, Hongtao 8 Gu, Chuanqing 8 Huang, Ting-Zhu 8 Yang, Aili 7 Khojasteh Salkuyeh, Davod 7 Wei, Yimin 7 Wu, Qingbiao 7 Xie, Yajun 7 Zheng, Bing 6 Lin, Yiqin 6 Xiao, Xiaoyong 6 Yin, Junfeng 5 Chen, Minhong 5 Li, Cuixia 5 Li, Rencang 5 Wu, Shiliang 5 Zhang, Juli 5 Zhu, Xinyun 4 Bao, Liang 4 Beik, Fatemeh Panjeh Ali 4 Chen, Cairong 4 Dai, Hua 4 Guo, Xueping 4 Huang, Baohua 4 Lin, Wen-Wei 4 Tang, Xiao-Bin 4 Wang, Chuanlong 4 Wang, Qingwen 4 Zeng, Minli 4 Zhang, Jianhua 4 Zhang, Ke 4 Zheng, Qingqing 4 Zhong, Hongxiu 3 Bayoumi, Ahmed M. E. 3 Chan, Raymond Hon-Fu 3 Fan, Hung-Yuan 3 Guo, Xiaoxia 3 Jbilou, Khalide 3 Jiang, Meiqun 3 Ke, Yifen 3 Li, Chengliang 3 Li, Liang 3 Li, Wen Wei 3 Li, Wen 3 Li, Xu 3 Liao, Anping 3 Lin, Rongfei 3 Liu, Jianzhou 3 Miao, Shu-Xin 3 Najafi-Kalyani, Mehdi 3 Ng, Michael Kwok-Po 3 Peng, Xiaofei 3 Ramadan, Mohamed Abdel-Latif 3 Ran, Yuhong 3 Sheng, Xingping 3 Teng, Zhongming 3 Wang, Li 3 Wang, Ruirui 3 Wang, Xuansheng 3 Wu, Jia 3 Xu, Weiru 3 Yang, Xi 3 Yin, Hongwei 3 Yuan, Li 3 Zhang, Chengyi 3 Zheng, Baodong 2 Badahmane, A. 2 Baranyi, Peter 8ed.) 2 Bentbib, Abdeslem Hafid 2 Chen, Fang 2 Cheng, Lizhi 2 Chu, E. K.-W. 2 Dai, Lin 2 Dehghan Takht Fooladi, Mehdi 2 Dong, Yongxin 2 Duan, Xuefeng 2 Eidelman, Yuli 2 Gemignani, Luca 2 Gohberg, Israel 2 Guo, Gongde 2 Guo, Pei-Chang 2 Hadjidimos, Apostolos 2 Hajarian, Masoud 2 Hao, Yue 2 Hu, Liying ...and 449 more Authors
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#### Cited in 76 Serials

 76 Applied Mathematics and Computation 52 Journal of Computational and Applied Mathematics 45 Computers & Mathematics with Applications 38 Numerical Algorithms 19 Linear Algebra and its Applications 15 Computational and Applied Mathematics 13 Linear and Multilinear Algebra 10 Numerical Linear Algebra with Applications 9 Applied Mathematics Letters 9 Mathematical Problems in Engineering 7 East Asian Journal on Applied Mathematics 6 Journal of the Franklin Institute 6 Applied Numerical Mathematics 6 Japan Journal of Industrial and Applied Mathematics 6 International Journal of Computer Mathematics 5 BIT 5 Journal of Inequalities and Applications 5 Journal of Applied Mathematics 5 Asian Journal of Control 4 Journal of Applied Mathematics and Computing 3 Numerische Mathematik 3 Frontiers of Mathematics in China 2 Calcolo 2 Computing 2 Information Sciences 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Global Optimization 2 Applied Mathematical Modelling 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Complexity 2 Taiwanese Journal of Mathematics 2 Algorithms 2 Journal of Applied Analysis and Computation 2 Open Mathematics 1 International Journal of Control 1 Information Processing Letters 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Automatica 1 Journal of Computer and System Sciences 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 European Journal of Combinatorics 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Computational Mathematics and Modeling 1 Pattern Recognition 1 Engineering Analysis with Boundary Elements 1 ELA. The Electronic Journal of Linear Algebra 1 European Journal of Control 1 Multibody System Dynamics 1 Nonlinear Dynamics 1 Optimization Methods & Software 1 International Journal of Theoretical and Applied Finance 1 Mathematical & Computational Applications 1 Applied Mathematics E-Notes 1 Portugaliae Mathematica. Nova Série 1 JP Journal of Algebra, Number Theory and Applications 1 Optimization Letters 1 European Journal of Pure and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Arabian Journal for Science and Engineering 1 Arabian Journal of Mathematics 1 Journal of Optimization 1 Journal of Linear and Topological Algebra 1 Journal of Mathematical Modeling 1 Bollettino dell’Unione Matematica Italiana 1 Communications on Applied Mathematics and Computation
all top 5

#### Cited in 28 Fields

 348 Numerical analysis (65-XX) 171 Linear and multilinear algebra; matrix theory (15-XX) 23 Partial differential equations (35-XX) 18 Systems theory; control (93-XX) 15 Operations research, mathematical programming (90-XX) 11 Fluid mechanics (76-XX) 8 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 Ordinary differential equations (34-XX) 5 Combinatorics (05-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 2 Associative rings and algebras (16-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)