Edit Profile (opens in new tab) Lu, Linzhang Co-Author Distance Author ID: lu.linzhang Published as: Lu, Linzhang; Lu, Lin-Zhang; Lu, Lin-zhang; Lu, Lin Zhang; Lu, L.-Z.; Lu, L. Z. more...less Documents Indexed: 137 Publications since 1992, including 1 Additional arXiv Preprint Co-Authors: 73 Co-Authors with 118 Joint Publications 2,468 Co-Co-Authors all top 5 Co-Authors 12 single-authored 15 Chen, Zhen 12 Niu, Qiang 10 Wang, Xiang 8 Yang, Junjian 7 Li, Rencang 7 Ng, Michael Kwok-Po 7 Shi, Xiangyu 6 Lai, Jiangzhou 5 Zhou, Jituan 4 Guan, Jinrui 4 Pearce, Charles Edward Miller 4 Zheng, Qingqing 3 Bai, Zhongzhi 3 Benitez, Francisco G. 3 Li, Chunmei 3 Liu, Zhibing 3 Rosakis, Ares J. 3 Sun, Weiwei 3 Teng, Zhongming 3 Wang, Ruirui 3 Wang, Teng 3 Wang, Xuansheng 3 Wu, Chunhong 2 He, Ming 2 Li, Shigui 2 Lin, Wen-Wei 2 Ma, Fei 2 Wang, Fuyi 2 Wang, Kanmin 2 Wang, Yuanyuan 2 Yuan, Fei 1 Ahmed, Zubair 1 Ching, Wai-Ki 1 Colas, L. 1 Duan, Xuefeng 1 Elsner, Ludwig F. 1 Faudot, E. 1 Feng, Yuehua 1 Gao, Yonghua 1 Glineur, François 1 Golub, Gene Howard 1 Helou, W. 1 Heuraux, Stéphane 1 Hillairet, J. 1 Huang, Tsungming 1 Jacquot, J. L. 1 Ji, Xingzhi 1 Jiang, Hong 1 Kong, Fanxu 1 Kuo, Yueh-Cheng 1 Li, Changwei 1 Li, Guiqing 1 Li, Hongwei 1 Li, Wen 1 Liang, Junping 1 Lin, Fu-Rong 1 Lin, Wenwei 1 Lin, Xiuli 1 Lin, Yurui 1 Liu, Gang 1 Liu, Qilong 1 Morii, Youhi 1 Nie, Yong-ming 1 Pan, Junjun 1 Qiu, Xing 1 Shao, Rongxia 1 Shen, Shuqian 1 Tierens, Wouter 1 Urbanczyk, G. 1 Van Dooren, Paul M. 1 Wang, Haijie 1 Wang, Qingwen 1 Xiao, Li 1 Xie, Xiaoyao 1 Xu, Hongguo 1 Xu, Shiji 1 Yang, Shengwei 1 Yin, Junfeng 1 Yin, Qian 1 Zeng, Delu 1 Zhang, Meihong 1 Zhou, Xueqin 1 Zhu, Chuanxi 1 Zhuang, Pinghui all top 5 Serials 18 Journal of Xiamen University. Natural Science 12 Journal of Computational and Applied Mathematics 10 Applied Mathematics and Computation 8 Applied Mathematics Letters 8 Journal of Mathematical Study 6 Linear Algebra and its Applications 4 Computers & Mathematics with Applications 4 Linear and Multilinear Algebra 4 Journal of Computational Mathematics 4 Numerical Mathematics 4 Mathematical Problems in Engineering 3 Numerical Mathematics 3 International Journal of Computer Mathematics 3 SIAM Journal on Scientific Computing 3 Journal of Inequalities and Applications 2 IEEE Transactions on Automatic Control 2 International Journal for Numerical Methods in Engineering 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Linear Algebra with Applications 2 Operators and Matrices 2 Asian Journal of Control 1 IEEE Transactions on Information Theory 1 Inverse Problems 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Computational Physics 1 Numerische Mathematik 1 Mathematica Numerica Sinica 1 Journal of Lanzhou University. Natural Sciences 1 Advances in Mathematics (Beijing) 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Annals of Operations Research 1 Journal of Mathematical Sciences (New York) 1 Journal of Guizhou Normal University. Natural Science 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Fujian Normal University. Natural Science 1 Discrete Dynamics in Nature and Society 1 Journal of Computational Analysis and Applications 1 International Journal of Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 International Journal of Fatigue 1 Journal of Fuzhou University. Natural Science Edition 1 Acta Mathematica Sinica. Chinese Series 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 Annals of Functional Analysis 1 Scientia Sinica. Mathematica 1 Journal of Chongqing Normal University. Natural Science 1 East Asian Journal on Applied Mathematics all top 5 Fields 93 Numerical analysis (65-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 10 Systems theory; control (93-XX) 8 Partial differential equations (35-XX) 4 Associative rings and algebras (16-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-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 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 732 times in 598 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 229 2005 A projection method and Kronecker product preconditioner for solving Sylvester tensor equations. Zbl 1273.65048 Chen, Zhen; Lu, Linzhang 56 2012 A relaxed gradient based algorithm for solving Sylvester equations. Zbl 1242.65081 Niu, Qiang; Wang, Xiang; Lu, Lin-Zhang 53 2011 Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory. Zbl 1072.15016 Lu, Lin-Zhang 29 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 28 2008 A gradient based iterative solutions for Sylvester tensor equations. Zbl 1299.65045 Chen, Zhen; Lu, Linzhang 24 2013 A new iteration method for a class of complex symmetric linear systems. Zbl 1365.65087 Wang, Teng; Zheng, Qingqing; Lu, Linzhang 23 2017 Newton iterations for a non-symmetric algebraic Riccati equation. Zbl 1164.65386 Lu, Lin-Zhang 17 2005 A shift-splitting preconditioner for a class of block two-by-two linear systems. Zbl 1356.65100 Zheng, Qingqing; Lu, Linzhang 17 2017 Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems. Zbl 1382.65094 Wang, Teng; Lu, Linzhang 17 2016 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 14 2004 Extended shift-splitting preconditioners for saddle point problems. Zbl 1353.65027 Zheng, Qingqing; Lu, Linzhang 14 2017 Some new bounds for singular values and eigenvalues of matrix products. Zbl 0979.15017 Lu, L.-Z.; Pearce, C. E. M. 12 2000 Perron complement and Perron root. Zbl 0999.15009 Lu, Linzhang 12 2002 On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem. Zbl 1058.65046 Lu, Linzhang; Ng, Michael K. 8 2004 Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Zbl 0832.65042 Xu, Hongguo; Lu, Linzhang 7 1995 Localization of Perron roots. Zbl 1067.15004 Lu, Linzhang; Ng, Michael K. 7 2004 A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation. Zbl 1433.65223 Shi, Xiangyu; Lu, Linzhang 7 2020 A tensor singular values and its symmetric embedding eigenvalues. Zbl 1285.15014 Chen, Zhen; Lu, Linzhang 7 2013 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 6 2016 Cluster-robust accuracy bounds for Ritz subspaces. Zbl 1320.15013 Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang 6 2015 Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear BBM equation. Zbl 1412.65154 Shi, Xiangyu; Lu, Linzhang 6 2019 The inverse eigenvalue problem of generalized reflexive matrices and its approximation. Zbl 1243.15006 Liu, Zhibing; Lu, Linzhang; Wang, Kanmin 5 2011 A fast algorithm for solving linear systems of the Pascal type. Zbl 1093.65031 Wang, Xiang; Lu, Linzhang 5 2006 Approximation BFGS methods for nonlinear image restoration. Zbl 1167.65372 Lu, Lin-Zhang; Ng, Michael K.; Lin, Fu-Rong 5 2009 An iterative algorithm for the solution of the discrete-time algebraic Riccati equation. Zbl 0779.65038 Lu, Lin-Zhang; Lin, Wen-Wei 5 1993 A polynomial preconditioner for the CMRH algorithm. Zbl 1215.65060 Lai, Jiangzhou; Lu, Linzhang; Xu, Shiji 5 2011 A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. Zbl 1363.65097 Lu, Linzhang; Yuan, Fei; Li, Ren-Cang 5 2015 On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues. Zbl 0942.65042 Lu, L. Z.; Sun, W. W. 4 1999 The minimal eigenvalues of a class of block-tridiagonal matrices. Zbl 0882.65023 Lu, Linzhang; Sun, W. 4 1997 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 4 2016 TP model transformation via sequentially truncated higher-order singular value decomposition. Zbl 1332.90062 Pan, Junjun; Lu, Linzhang 4 2015 Accelerate weighted GMRES by augmenting error approximations. Zbl 1195.65039 Niu, Qiang; Lu, Linzhang; Zhou, Jituan 4 2010 Superconvergent estimate of a Galerkin finite element method for nonlinear Poisson-Nernst-Planck equations. Zbl 1437.65143 Shi, Xiangyu; Lu, Linzhang 4 2020 Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors. Zbl 1512.15019 Li, Shigui; Chen, Zhen; Liu, Qilong; Lu, Linzhang 4 2022 A refined Arnoldi type method for large scale eigenvalue problems. Zbl 1264.65057 Wang, Xiang; Niu, Qiang; Lu, Lin-Zhang 4 2013 Optimal parameters for doubling algorithms. Zbl 1413.65138 Huang, Tsungming; Li, Rencang; Lin, Wenwei; Lu, Linzhang 4 2017 Schatten \(q\)-norms and determinantal inequalities for matrices with numerical ranges in a sector. Zbl 07001299 Yang, Junjian; Lu, Linzhang; Chen, Zhen 4 2019 Implicit numerical approximation scheme for the fractional Fokker-Planck equation. Zbl 1196.82101 Wu, Chunhong; Lu, Linzhang 3 2010 Comparisons of spectral radii and the theorem of Stein-Rosenberg. Zbl 0997.65060 Li, Wen; Elsner, Ludwig; Lu, Linzhang 3 2002 Preconditioned Lanczos method for generalized Toeplitz eigenvalue problems. Zbl 1175.65046 Wang, Yuan-Yuan; Lu, Lin-Zhang 3 2009 Numerical methods for a quadratic matrix equation with a nonsingular M-matrix. Zbl 1330.65066 Lu, Linzhang; Ahmed, Zubair; Guan, Jinrui 3 2016 A new approach of superconvergence analysis of nonconforming Wilson finite element for semi-linear parabolic problem. Zbl 1524.65596 Shi, Xiangyu; Lu, Linzhang 3 2021 Unconditional superconvergent analysis of quasi-Wilson element for Benjamin-Bona-Mahoney equation. Zbl 1515.65300 Shi, Xiangyu; Lu, Linzhang 3 2023 An invert-free Arnoldi method for computing interior eigenpairs of large matrices. Zbl 1125.65031 Niu, Qiang; Lu, Linzhang 2 2007 An implicity restarted block Arnoldi method in a vector-wise function. Zbl 1132.65031 Yin, Qian; Lu, Linzhang 2 2006 An efficient algorithm for the discrete-time algebraic Riccati equation. Zbl 0981.93021 Lu, L.-Z.; Lin, W.-W.; Pearce, C. E. M. 2 1999 A twisted block tangential filtering decomposition preconditioner. Zbl 1184.65034 Wang, Ruirui; Niu, Qiang; Lu, Linzhang 2 2009 Effects of a parameter on a nonsymmetric algebraic Riccati equation. Zbl 1090.15012 Lu, Linzhang; Ng, Michael K. 2 2006 Factorizations of confluent Cauchy-Vandermonde matrices. Zbl 1108.65023 Wang, Xiang; Lu, Linzhang 2 2006 The global convergence of modified DY conjugate gradient methods under the Wolfe line search. Zbl 1363.90248 Zhou, Xueqin; Lu, Linzhang 2 2016 New alternately linearized implicit iteration for M-matrix algebraic Riccati equations. Zbl 1413.65133 Guan, Jinrui; Lu, Linzhang 2 2017 Self-corrective iterations (SCI) for generalized diagonally dominant matrices. Zbl 1334.15096 Guan, Jinrui; Lu, Linzhang; Li, Ren-Cang; Shao, Rongxia 2 2016 Iterative algorithm for solving a class of convex feasibility problem. Zbl 1410.49035 Li, Chunmei; Duan, Xuefeng; Lu, Linzhang; Wang, Qingwen; Shen, Shuqian 2 2019 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 2 2013 An effective initialization for orthogonal nonnegative matrix factorization. Zbl 1265.15028 Wang, Xuansheng; Xie, Xiaoyao; Lu, Linzhang 2 2012 On several matrix Kantorovich-type inequalities. Zbl 1189.15031 Liu, Zhibing; Lu, Linzhang; Wang, Kanmin 1 2010 Matrix bounds and simple iteration for the positive semidefinite solution to discrete-time algebraic Riccati equation. Zbl 0856.65046 Lu, Linzhang 1 1995 On an inverse singular value problem. Zbl 0949.65035 Lu, Linzhang; Sun, Weiwei 1 1999 Restarted simpler GMRES augmented with approximate errors. Zbl 1108.65026 Li, Hongwei; Lu, Linzhang 1 2006 A note on the spectral for real Hankel matrices. Zbl 1158.15007 Wang, Xiang; Lu, Linzhang; Zhu, Chuanxi; Niu, Qiang 1 2008 Exact algorithms for singular tridiagonal systems with applications to Markov chains. Zbl 1074.65032 Lu, Lin-Zhang; Ching, Wai-Ki; Ng, Michael K. 1 2004 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. 1 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. 1 1993 Maximum inverse positive matrices. Zbl 1131.15021 Lu, Linzhang; Ng, Michael K. 1 2007 Structures of circulant inverse \(M\)-matrices. Zbl 1140.15315 Lin, Yurui; Lu, Linzhang 1 2007 Perturbation of partitioned linear response eigenvalue problems. Zbl 1330.65060 Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang 1 2015 Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications. Zbl 1382.65107 Wang, Xuansheng; Glineur, François; Lu, Linzhang; Van Dooren, Paul 1 2016 On semi-convergence of ULT iterative method for the singular saddle point problems. Zbl 1361.65019 Zheng, Qingqing; Lu, Linzhang 1 2016 A note on more inequalities for sector matrices. Zbl 07132641 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2019 Weighted geometric mean of two accretive matrices. Zbl 1502.15014 Yang, Junjian; Lu, Linzhang 1 2021 Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices. Zbl 1496.15011 Lu, Linzhang 1 2022 Some singular value inequalities related to linear maps. Zbl 1499.15069 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2020 Accelerated GCRO-DR method for solving sequences of systems of linear equations. Zbl 1288.65040 Niu, Qiang; Lu, Lin-Zhang; Liu, Gang 1 2013 On simultaneously nilpotent antiring matrices. Zbl 1268.15029 Zhou, Jituan; Lu, Linzhang 1 2012 A note on a conjectured singular value inequality related to a linear map. Zbl 1464.15033 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2020 Some inequalities related to \(2\times 2\) block sector partial transpose matrices. Zbl 1503.15027 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2020 New superconvergence estimates of FEM for time-dependent Joule heating problem. Zbl 1524.65597 Shi, Xiangyu; Lu, Linzhang; Wang, Haijie 1 2022 A refinement of Rotfel’d type inequality for partitioned matrices with numerical ranges in a sector. Zbl 07089811 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2019 Unconditional superconvergent analysis of quasi-Wilson element for Benjamin-Bona-Mahoney equation. Zbl 1515.65300 Shi, Xiangyu; Lu, Linzhang 3 2023 Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors. Zbl 1512.15019 Li, Shigui; Chen, Zhen; Liu, Qilong; Lu, Linzhang 4 2022 Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices. Zbl 1496.15011 Lu, Linzhang 1 2022 New superconvergence estimates of FEM for time-dependent Joule heating problem. Zbl 1524.65597 Shi, Xiangyu; Lu, Linzhang; Wang, Haijie 1 2022 A new approach of superconvergence analysis of nonconforming Wilson finite element for semi-linear parabolic problem. Zbl 1524.65596 Shi, Xiangyu; Lu, Linzhang 3 2021 Weighted geometric mean of two accretive matrices. Zbl 1502.15014 Yang, Junjian; Lu, Linzhang 1 2021 A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation. Zbl 1433.65223 Shi, Xiangyu; Lu, Linzhang 7 2020 Superconvergent estimate of a Galerkin finite element method for nonlinear Poisson-Nernst-Planck equations. Zbl 1437.65143 Shi, Xiangyu; Lu, Linzhang 4 2020 Some singular value inequalities related to linear maps. Zbl 1499.15069 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2020 A note on a conjectured singular value inequality related to a linear map. Zbl 1464.15033 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2020 Some inequalities related to \(2\times 2\) block sector partial transpose matrices. Zbl 1503.15027 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2020 Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear BBM equation. Zbl 1412.65154 Shi, Xiangyu; Lu, Linzhang 6 2019 Schatten \(q\)-norms and determinantal inequalities for matrices with numerical ranges in a sector. Zbl 07001299 Yang, Junjian; Lu, Linzhang; Chen, Zhen 4 2019 Iterative algorithm for solving a class of convex feasibility problem. Zbl 1410.49035 Li, Chunmei; Duan, Xuefeng; Lu, Linzhang; Wang, Qingwen; Shen, Shuqian 2 2019 A note on more inequalities for sector matrices. Zbl 07132641 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2019 A refinement of Rotfel’d type inequality for partitioned matrices with numerical ranges in a sector. Zbl 07089811 Yang, Junjian; Lu, Linzhang; Chen, Zhen 1 2019 A new iteration method for a class of complex symmetric linear systems. Zbl 1365.65087 Wang, Teng; Zheng, Qingqing; Lu, Linzhang 23 2017 A shift-splitting preconditioner for a class of block two-by-two linear systems. Zbl 1356.65100 Zheng, Qingqing; Lu, Linzhang 17 2017 Extended shift-splitting preconditioners for saddle point problems. Zbl 1353.65027 Zheng, Qingqing; Lu, Linzhang 14 2017 Optimal parameters for doubling algorithms. Zbl 1413.65138 Huang, Tsungming; Li, Rencang; Lin, Wenwei; Lu, Linzhang 4 2017 New alternately linearized implicit iteration for M-matrix algebraic Riccati equations. Zbl 1413.65133 Guan, Jinrui; Lu, Linzhang 2 2017 Alternating-directional PMHSS iteration method for a class of two-by-two block linear systems. Zbl 1382.65094 Wang, Teng; Lu, Linzhang 17 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 6 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 4 2016 Numerical methods for a quadratic matrix equation with a nonsingular M-matrix. Zbl 1330.65066 Lu, Linzhang; Ahmed, Zubair; Guan, Jinrui 3 2016 The global convergence of modified DY conjugate gradient methods under the Wolfe line search. Zbl 1363.90248 Zhou, Xueqin; Lu, Linzhang 2 2016 Self-corrective iterations (SCI) for generalized diagonally dominant matrices. Zbl 1334.15096 Guan, Jinrui; Lu, Linzhang; Li, Ren-Cang; Shao, Rongxia 2 2016 Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications. Zbl 1382.65107 Wang, Xuansheng; Glineur, François; Lu, Linzhang; Van Dooren, Paul 1 2016 On semi-convergence of ULT iterative method for the singular saddle point problems. Zbl 1361.65019 Zheng, Qingqing; Lu, Linzhang 1 2016 Cluster-robust accuracy bounds for Ritz subspaces. Zbl 1320.15013 Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang 6 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 5 2015 TP model transformation via sequentially truncated higher-order singular value decomposition. Zbl 1332.90062 Pan, Junjun; Lu, Linzhang 4 2015 Perturbation of partitioned linear response eigenvalue problems. Zbl 1330.65060 Teng, Zhongming; Lu, Linzhang; Li, Ren-Cang 1 2015 A gradient based iterative solutions for Sylvester tensor equations. Zbl 1299.65045 Chen, Zhen; Lu, Linzhang 24 2013 A tensor singular values and its symmetric embedding eigenvalues. Zbl 1285.15014 Chen, Zhen; Lu, Linzhang 7 2013 A refined Arnoldi type method for large scale eigenvalue problems. Zbl 1264.65057 Wang, Xiang; Niu, Qiang; Lu, Lin-Zhang 4 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 2 2013 Accelerated GCRO-DR method for solving sequences of systems of linear equations. Zbl 1288.65040 Niu, Qiang; Lu, Lin-Zhang; Liu, Gang 1 2013 A projection method and Kronecker product preconditioner for solving Sylvester tensor equations. Zbl 1273.65048 Chen, Zhen; Lu, Linzhang 56 2012 An effective initialization for orthogonal nonnegative matrix factorization. Zbl 1265.15028 Wang, Xuansheng; Xie, Xiaoyao; Lu, Linzhang 2 2012 On simultaneously nilpotent antiring matrices. Zbl 1268.15029 Zhou, Jituan; Lu, Linzhang 1 2012 A relaxed gradient based algorithm for solving Sylvester equations. Zbl 1242.65081 Niu, Qiang; Wang, Xiang; Lu, Lin-Zhang 53 2011 The inverse eigenvalue problem of generalized reflexive matrices and its approximation. Zbl 1243.15006 Liu, Zhibing; Lu, Linzhang; Wang, Kanmin 5 2011 A polynomial preconditioner for the CMRH algorithm. Zbl 1215.65060 Lai, Jiangzhou; Lu, Linzhang; Xu, Shiji 5 2011 Accelerate weighted GMRES by augmenting error approximations. Zbl 1195.65039 Niu, Qiang; Lu, Linzhang; Zhou, Jituan 4 2010 Implicit numerical approximation scheme for the fractional Fokker-Planck equation. Zbl 1196.82101 Wu, Chunhong; Lu, Linzhang 3 2010 On several matrix Kantorovich-type inequalities. Zbl 1189.15031 Liu, Zhibing; Lu, Linzhang; Wang, Kanmin 1 2010 Approximation BFGS methods for nonlinear image restoration. Zbl 1167.65372 Lu, Lin-Zhang; Ng, Michael K.; Lin, Fu-Rong 5 2009 Preconditioned Lanczos method for generalized Toeplitz eigenvalue problems. Zbl 1175.65046 Wang, Yuan-Yuan; Lu, Lin-Zhang 3 2009 A twisted block tangential filtering decomposition preconditioner. Zbl 1184.65034 Wang, Ruirui; Niu, Qiang; Lu, Linzhang 2 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 28 2008 A note on the spectral for real Hankel matrices. Zbl 1158.15007 Wang, Xiang; Lu, Linzhang; Zhu, Chuanxi; Niu, Qiang 1 2008 An invert-free Arnoldi method for computing interior eigenpairs of large matrices. Zbl 1125.65031 Niu, Qiang; Lu, Linzhang 2 2007 Maximum inverse positive matrices. Zbl 1131.15021 Lu, Linzhang; Ng, Michael K. 1 2007 Structures of circulant inverse \(M\)-matrices. Zbl 1140.15315 Lin, Yurui; Lu, Linzhang 1 2007 A fast algorithm for solving linear systems of the Pascal type. Zbl 1093.65031 Wang, Xiang; Lu, Linzhang 5 2006 An implicity restarted block Arnoldi method in a vector-wise function. Zbl 1132.65031 Yin, Qian; Lu, Linzhang 2 2006 Effects of a parameter on a nonsymmetric algebraic Riccati equation. Zbl 1090.15012 Lu, Linzhang; Ng, Michael K. 2 2006 Factorizations of confluent Cauchy-Vandermonde matrices. Zbl 1108.65023 Wang, Xiang; Lu, Linzhang 2 2006 Restarted simpler GMRES augmented with approximate errors. Zbl 1108.65026 Li, Hongwei; Lu, Linzhang 1 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 229 2005 Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory. Zbl 1072.15016 Lu, Lin-Zhang 29 2005 Newton iterations for a non-symmetric algebraic Riccati equation. Zbl 1164.65386 Lu, Lin-Zhang 17 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 14 2004 On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem. Zbl 1058.65046 Lu, Linzhang; Ng, Michael K. 8 2004 Localization of Perron roots. Zbl 1067.15004 Lu, Linzhang; Ng, Michael K. 7 2004 Exact algorithms for singular tridiagonal systems with applications to Markov chains. Zbl 1074.65032 Lu, Lin-Zhang; Ching, Wai-Ki; Ng, Michael K. 1 2004 Perron complement and Perron root. Zbl 0999.15009 Lu, Linzhang 12 2002 Comparisons of spectral radii and the theorem of Stein-Rosenberg. Zbl 0997.65060 Li, Wen; Elsner, Ludwig; Lu, Linzhang 3 2002 Some new bounds for singular values and eigenvalues of matrix products. Zbl 0979.15017 Lu, L.-Z.; Pearce, C. E. M. 12 2000 On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues. Zbl 0942.65042 Lu, L. Z.; Sun, W. W. 4 1999 An efficient algorithm for the discrete-time algebraic Riccati equation. Zbl 0981.93021 Lu, L.-Z.; Lin, W.-W.; Pearce, C. E. M. 2 1999 On an inverse singular value problem. Zbl 0949.65035 Lu, Linzhang; Sun, Weiwei 1 1999 The minimal eigenvalues of a class of block-tridiagonal matrices. Zbl 0882.65023 Lu, Linzhang; Sun, W. 4 1997 Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Zbl 0832.65042 Xu, Hongguo; Lu, Linzhang 7 1995 Matrix bounds and simple iteration for the positive semidefinite solution to discrete-time algebraic Riccati equation. Zbl 0856.65046 Lu, Linzhang 1 1995 An iterative algorithm for the solution of the discrete-time algebraic Riccati equation. Zbl 0779.65038 Lu, Lin-Zhang; Lin, Wen-Wei 5 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. 1 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. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 734 Authors 37 Ma, Changfeng 22 Huang, Zhengge 22 Lu, Linzhang 20 Wang, Xiang 19 Cui, Jingjing 18 Zhang, Guofeng 14 Bai, Zhongzhi 14 Xu, Zhong 13 Liang, Zhaozheng 13 Wang, Ligong 13 Wang, Qingwen 12 Cao, Yang 11 Khojasteh Salkuyeh, Davod 11 Niu, Qiang 11 Wu, Qingbiao 10 Huang, Na 10 Shi, Dongyang 9 Gu, Chuanqing 9 Wu, Yujiang 9 Xiao, Xiaoyong 8 Chen, Guoliang 8 Fan, Hongtao 8 Huang, Ting-Zhu 8 Wei, Yimin 8 Xie, Yajun 8 Yang, Aili 8 Yin, Junfeng 7 Hajarian, Masoud 7 Huang, Baohua 7 Wu, Shiliang 7 Zhao, Jianxing 7 Zheng, Bing 7 Zheng, Qingqing 6 Chen, Minhong 6 Li, Xu 6 Lin, Yiqin 6 Shi, Xiangyu 6 Tang, Xiao-Bin 6 Zhang, Juli 5 Beik, Fatemeh Panjeh Ali 5 Chansangiam, Pattrawut 5 Chen, Cairong 5 Chen, Fang 5 Dehghan Takht Fooladi, Mehdi 5 Li, Cuixia 5 Li, Rencang 5 Lin, Wen-Wei 5 Miao, Shu-Xin 5 Shirilord, Akbar 5 Toutounian, Faezeh 5 Zeng, Minli 5 Zhang, Chengyi 5 Zhu, Xinyun 4 Bao, Liang 4 Bentbib, Abdeslem Hafid 4 Dai, Hua 4 Guo, Xiaoxia 4 Guo, Xueping 4 Ke, Yifen 4 Kittisopaporn, Adisorn 4 Li, Beibei 4 Lin, Rongfei 4 Najafi-Kalyani, Mehdi 4 Sang, Caili 4 Shao, Xinhui 4 Wang, Chuanlong 4 Xie, Xiaofeng 4 Yin, Hongwei 4 Zhang, Jianhua 4 Zhang, Xinfang 4 Zhong, Hongxiu 3 Aminifard, Zohre 3 Babaie-Kafaki, Saman 3 Bayoumi, Ahmed M. E. 3 Carpentieri, Bruno 3 Chan, Raymond Hon-Fu 3 Chu, Eric K.-W. 3 Duan, Xuefeng 3 Fan, Hung-Yuan 3 Huang, Guang-Xin 3 Jbilou, Khalide 3 Jiang, Meiqun 3 King-wah Chu, Eric 3 Li, Chaoqian 3 Li, Chengliang 3 Li, Jicheng 3 Li, Liang 3 Li, Tao 3 Li, Wen Wei 3 Li, Wen 3 Liao, Anping 3 Liu, Jianzhou 3 Liu, Zhongyun 3 Masoudi, Mohsen 3 Massey, Pedro G. 3 Ng, Michael Kwok-Po 3 Pei, Lifang 3 Peng, Xiaofei 3 Ramadan, Mohamed Abdel-Latif 3 Ran, Yuhong ...and 634 more Authors all top 5 Cited in 115 Serials 87 Applied Mathematics and Computation 56 Computers & Mathematics with Applications 56 Journal of Computational and Applied Mathematics 44 Numerical Algorithms 32 Computational and Applied Mathematics 23 Linear Algebra and its Applications 21 Linear and Multilinear Algebra 15 Applied Numerical Mathematics 13 International Journal of Computer Mathematics 12 East Asian Journal on Applied Mathematics 11 Applied Mathematics Letters 11 Japan Journal of Industrial and Applied Mathematics 10 Numerical Linear Algebra with Applications 9 Journal of the Franklin Institute 9 Mathematical Problems in Engineering 8 BIT 7 Journal of Inequalities and Applications 6 Journal of Applied Mathematics and Computing 6 AIMS Mathematics 5 Calcolo 5 SIAM Journal on Matrix Analysis and Applications 5 Filomat 5 Journal of Applied Mathematics 5 Asian Journal of Control 4 Taiwanese Journal of Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Advances in Difference Equations 4 Frontiers of Mathematics in China 3 Information Sciences 3 Numerische Mathematik 3 Bulletin of the Iranian Mathematical Society 3 Journal of Scientific Computing 3 ETNA. Electronic Transactions on Numerical Analysis 3 Advances in Computational Mathematics 3 JP Journal of Algebra, Number Theory and Applications 3 Journal of Mathematical Modeling 2 Computing 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Methods for Partial Differential Equations 2 Journal of Global Optimization 2 Applied Mathematical Modelling 2 SIAM Journal on Scientific Computing 2 Statistica Sinica 2 Complexity 2 ELA. The Electronic Journal of Linear Algebra 2 Applied Mathematics E-Notes 2 Journal of Industrial and Management Optimization 2 Operators and Matrices 2 Numerical Mathematics: Theory, Methods and Applications 2 Algorithms 2 Journal of Applied Analysis and Computation 2 Iranian Journal of Numerical Analysis and Optimization 2 Open Mathematics 2 Communications on Applied Mathematics and Computation 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 Mathematics of Computation 1 Automatica 1 Demonstratio Mathematica 1 Journal of Computer and System Sciences 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 European Journal of Combinatorics 1 Mathematica Numerica Sinica 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Mathematical and Computer Modelling 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Communications in Statistics. Theory and Methods 1 Pattern Recognition 1 Journal of Mathematical Sciences (New York) 1 INFORMS Journal on Computing 1 European Journal of Control 1 Mathematical Communications 1 Nonlinear Dynamics 1 Optimization Methods & Software 1 International Journal of Theoretical and Applied Finance 1 Mathematical & Computational Applications 1 Acta Mathematica Sinica. English Series 1 Mathematical Modelling and Analysis 1 Portugaliae Mathematica. Nova Série 1 Journal of Machine Learning Research (JMLR) 1 Hacettepe Journal of Mathematics and Statistics 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Optimization Letters 1 Communications in Computational Physics 1 European Journal of Pure and Applied Mathematics 1 AStA. Advances in Statistical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Tbilisi Mathematical Journal 1 Advances in Applied Mathematics and Mechanics ...and 15 more Serials all top 5 Cited in 32 Fields 497 Numerical analysis (65-XX) 264 Linear and multilinear algebra; matrix theory (15-XX) 38 Partial differential equations (35-XX) 23 Operations research, mathematical programming (90-XX) 20 Systems theory; control (93-XX) 13 Operator theory (47-XX) 12 Fluid mechanics (76-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 9 Information and communication theory, circuits (94-XX) 7 Ordinary differential equations (34-XX) 7 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 5 Combinatorics (05-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Associative rings and algebras (16-XX) 4 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year