Edit Profile (opens in new tab) Bai, Zhaojun Compute Distance To: Compute Author ID: bai.zhaojun Published as: Bai, Zhaojun; Bai, Z.; Bai, ZhaoJun Homepage: http://web.cs.ucdavis.edu/~bai/ External Links: MGP · dblp · GND Documents Indexed: 72 Publications since 1988, including 3 Books 5 Contributions as Editor Co-Authors: 82 Co-Authors with 69 Joint Publications 2,599 Co-Co-Authors all top 5 Co-Authors 8 single-authored 12 Li, Rencang 12 Su, Yangfeng 10 Demmel, James Weldon 5 Dongarra, Jack J. 5 Freund, Roland W. 4 Gao, Weiguo 4 Lu, Ding 4 Yang, Chao 3 Bischof, Christian H. 3 Cai, Yunfeng 3 Golub, Gene Howard 2 Dewilde, Patrick M. 2 Du Croz, Jeremy J. 2 Greenbaum, Anne 2 Hammarling, Sven J. 2 Hu, Dan 2 Huang, Xin 2 Lee, Lie-Quan 2 Li, Yung-Ta 2 Liao, Ben-Shan 2 McKenney, Alan 2 Meerbergen, Karl 2 Ng, Esmond G. 2 Pask, John Ernest 2 Reichel, Lothar 2 Sorensen, Danny C. 2 Sukumar, Natarajan 2 Yamazaki, Ichitaro 2 Ye, Qiang 2 Zhang, Lei-Hong 1 Benzi, Michele 1 Blackford, S. 1 Chen, Wenbin 1 Dai, Yu-Hong 1 E, Weinan 1 Elman, Howard C. 1 Fahey, Mark R. 1 Garrett, C. Kristopher 1 Ge, Lixin 1 Gu, Ming 1 Gygi, François 1 Higham, Nicholas J. 1 Husbands, Parry 1 Kilmer, Misha E. 1 King-wah Chu, Eric 1 Ko, Jin Hwan 1 Ko, Kwok 1 Kononenko, Oleksiy 1 Lee, Cherung 1 Li, Zenghai 1 Liang, Xin 1 Lin, Wen-Wei 1 Lin, Wenwei 1 Marques, Osni A. 1 McKenny, A. 1 Mehrman, Volker 1 Nakatsukasa, Yuji 1 Ng, Cho-Kuen 1 Orlandi, Antonio 1 Ostrouchov, Susan 1 Petitet, Antoine 1 Qian, Qingshan 1 Ruhe, Axel 1 Sakurai, Tetsuya 1 Scalettar, Richard T. 1 Senzaki, Kenta 1 Shu, Chi-Wang 1 Simon, Horst D. 1 Skoogh, Daniel 1 Smith, William T. 1 Stewart, Gilbert Wright 1 Tadano, Hiroto 1 Van Beeumen, Roel 1 Van der Vorst, Henk Albertus 1 Vandereycken, Bart 1 Wang, Chern-Shuh 1 Wang, Lin-Wang 1 Wu, Kesheng 1 Xiao, Liling 1 Xu, Shufang 1 Zha, Hongyuan 1 Zhang, Pingwen all top 5 Serials 11 SIAM Journal on Matrix Analysis and Applications 9 Linear Algebra and its Applications 7 SIAM Journal on Scientific Computing 5 ACM Transactions on Mathematical Software 3 International Journal for Numerical Methods in Engineering 3 Journal of Computational and Applied Mathematics 3 Taiwanese Journal of Mathematics 2 Journal of Computational Physics 2 Journal of Computational Mathematics 2 Software - Environments - Tools 2 Science China. Mathematics 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 BIT 1 IEEE Transactions on Automatic Control 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Journal of Fudan University. Natural Science 1 Journal of Parallel and Distributed Computing 1 International Journal of High Speed Computing 1 Communications in Statistics. Simulation and Computation 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Annals of Numerical Mathematics 1 Optimization Methods & Software 1 Communications in Mathematical Sciences 1 Series in Contemporary Applied Mathematics CAM 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 63 Numerical analysis (65-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 8 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 1,825 times in 1,483 Documents Cited by ▼ Year ▼ LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 469 1999 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 233 2000 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 123 1995 Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136Bai, Zhaojun 111 2002 LAPACK users’ guide. Zbl 0755.65028Anderson, E.; Bai, Z.; Bischof, C. 69 1992 SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024Bai, Zhaojun; Su, Yangfeng 65 2005 Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058Bai, Zhaojun; Su, Yangfeng 64 2005 A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012Bai, Zhaojun; Skoogh, Daniel 54 2006 Some large-scale matrix computation problems. Zbl 0870.65035Bai, Zhaojun; Fahey, Mark; Golub, Gene 43 1996 An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021Bai, Zhaojun; Demmel, James; Gu, Ming 37 1997 ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045Bai, Zhaojun; Day, David; Ye, Qiang 36 1999 Solving rational eigenvalue problems via linearization. Zbl 1222.65034Su, Yangfeng; Bai, Zhaojun 35 2011 Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102Bai, Zhaojun; Li, Ren-Cang 27 2013 Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078Bai, Zhaojun; Li, Ren-Cang 24 2012 Computing the generalized singular value decomposition. Zbl 0789.65024Bai, Zhaojun; Demmel, James W. 24 1993 On swapping diagonal blocks in real Schur form. Zbl 0783.65030Bai, Zhaojun; Demmel, James W. 20 1993 Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035Bai, Zhaojun; Demmel, James 19 1998 Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028Li, Ren-Cang; Bai, Zhaojun 17 2005 Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102Lu, Ding; Su, Yangfeng; Bai, Zhaojun 16 2016 A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012Bai, Zhaojun; Freund, Roland W. 16 2001 Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems. Zbl 1198.65072Liao, Ben-Shan; Bai, Zhaojun; Lee, Lie-Quan; Ko, Kwok 15 2010 A Newton basis GMRES implementation. Zbl 0818.65022Bai, Zhaojun; Hu, Dan; Reichel, Lothar 15 1994 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013Bai, Zhaojun; Golub, Gene H. 15 1997 Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029Bai, Zhaojun 15 1994 On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang 14 2018 Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François 13 2010 Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng 13 2010 On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035Bai, Zhaojun; Demmel, James 12 1989 Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013Bai, Zhaojun; Ye, Qiang 12 1998 The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149Meerbergen, Karl; Bai, Zhaojun 11 2010 A two-directional Arnoldi process and its application to parametric model order reduction. Zbl 1160.65012Li, Yung-Ta; Bai, Zhaojun; Su, Yangfeng 11 2009 An algebraic substructuring method for large-scale eigenvalue calculation. Zbl 1092.65032Yang, Chao; Gao, Weiguo; Bai, Zhaojun; Li, Xiaoye S.; Lee, Lie-Quan; Husbands, Parry; Ng, Esmond 11 2005 Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093Huang, Xin; Bai, Zhaojun; Su, Yangfeng 10 2010 Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044Bai, Zhaojun; Freund, Roland W. 10 2000 Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148Bai, Zhaojun; Lu, Ding; Vandereycken, Bart 10 2018 Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010Liang, Xin; Li, Ren-Cang; Bai, Zhaojun 9 2013 A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046Bai, Zhaojun; Zha, Hongyuan 9 1993 An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun 9 2008 The important modes of subsystems: a moment-matching approach. Zbl 1194.74119Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo 8 2007 Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053Bai, Zhaojun; Li, Ren-Cang 8 2014 A symmetric band Lanczos process based on coupled recurrences and some applications. Zbl 0997.65064Bai, Zhaojun; Freund, Roland W. 8 2001 Generalized QR factorization and its applications. Zbl 0747.65022Anderson, E.; Bai, Z.; Dongarra, J. 6 1992 Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029Bai, Zhaojun; Stewart, G. W. 6 1997 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 6 1997 A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping. Zbl 1352.65120Lu, Ding; Huang, Xin; Bai, Zhaojun; Su, Yangfeng 5 2015 Reduced-order modeling. Zbl 1180.78032Bai, Zhaojun; Dewilde, Patrick M.; Freund, Roland W. 5 2005 Progress in the numerical solution of the nonsymmetric eigenvalue problem. Zbl 0838.65033Bai, Zhaojun 5 1995 Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021Bai, ZhaoJun; Li, RenCang; Lin, WenWei 5 2016 On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044Bai, Z.; Demmel, J.; McKenny, A. 5 1993 An implementation of the GMRES method using QR factorization. Zbl 0818.65023Bai, Zhaojun; Hu, Dan; Reichel, Lothar 4 1992 Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N. 4 2013 The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. Zbl 1088.65035Wang, Bin; Su, Yangfeng; Bai, Zhaojun 4 2006 Note on the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0652.65028Bai, Zhaojun 3 1988 A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang 3 2016 A high-quality preconditioning technique for multi-length-scale symmetric positive definite linear systems. Zbl 1212.65122Yamazaki, Ichitaro; Bai, Zhaojun; Chen, Wenbin; Scalettar, Richard 3 2009 High-frequency response analysis via algebraic substructuring. Zbl 1195.74074Ko, Jin Hwan; Bai, Zhaojun 3 2008 Inverse free parallel method for the numerical solution of algebraic Riccati equations. Zbl 0820.65019Bai, Zhaojun; Qian, Qingshan 3 1994 Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng 3 2005 Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. Zbl 1416.78039Van Beeumen, Roel; Marques, Osni; Ng, Esmond G.; Yang, Chao; Bai, Zhaojun; Ge, Lixin; Kononenko, Oleksiy; Li, Zenghai; Ng, Cho-Kuen; Xiao, Liling 3 2018 A structured quasi-Arnoldi procedure for model order reduction of second-order systems. Zbl 1237.93036Li, Yung-Ta; Bai, Zhaojun; Lin, Wen-Wei; Su, Yangfeng 2 2012 Orthogonal canonical correlation analysis and applications. Zbl 1455.65059Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang 2 2020 A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng 2 2008 A method for profiling the distribution of eigenvalues using the AS method. Zbl 1198.65076Senzaki, Kenta; Tadano, Hiroto; Sakurai, Tetsuya; Bai, Zhaojun 1 2010 Stable solutions of linear systems involving long chain of matrix multiplications. Zbl 1220.65035Bai, Zhaojun; Lee, Cherung; Li, Ren-Cang; Xu, Shufang 1 2011 A parallel algorithm for computing the generalized singular value decomposition. Zbl 0797.65038Bai, Zhaojun 1 1994 Orthogonal canonical correlation analysis and applications. Zbl 1455.65059Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang 2 2020 On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang 14 2018 Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148Bai, Zhaojun; Lu, Ding; Vandereycken, Bart 10 2018 Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. Zbl 1416.78039Van Beeumen, Roel; Marques, Osni; Ng, Esmond G.; Yang, Chao; Bai, Zhaojun; Ge, Lixin; Kononenko, Oleksiy; Li, Zenghai; Ng, Cho-Kuen; Xiao, Liling 3 2018 Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102Lu, Ding; Su, Yangfeng; Bai, Zhaojun 16 2016 Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021Bai, ZhaoJun; Li, RenCang; Lin, WenWei 5 2016 A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang 3 2016 A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping. Zbl 1352.65120Lu, Ding; Huang, Xin; Bai, Zhaojun; Su, Yangfeng 5 2015 Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053Bai, Zhaojun; Li, Ren-Cang 8 2014 Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102Bai, Zhaojun; Li, Ren-Cang 27 2013 Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010Liang, Xin; Li, Ren-Cang; Bai, Zhaojun 9 2013 Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N. 4 2013 Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078Bai, Zhaojun; Li, Ren-Cang 24 2012 A structured quasi-Arnoldi procedure for model order reduction of second-order systems. Zbl 1237.93036Li, Yung-Ta; Bai, Zhaojun; Lin, Wen-Wei; Su, Yangfeng 2 2012 Solving rational eigenvalue problems via linearization. Zbl 1222.65034Su, Yangfeng; Bai, Zhaojun 35 2011 Stable solutions of linear systems involving long chain of matrix multiplications. Zbl 1220.65035Bai, Zhaojun; Lee, Cherung; Li, Ren-Cang; Xu, Shufang 1 2011 Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems. Zbl 1198.65072Liao, Ben-Shan; Bai, Zhaojun; Lee, Lie-Quan; Ko, Kwok 15 2010 Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François 13 2010 Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng 13 2010 The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149Meerbergen, Karl; Bai, Zhaojun 11 2010 Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093Huang, Xin; Bai, Zhaojun; Su, Yangfeng 10 2010 A method for profiling the distribution of eigenvalues using the AS method. Zbl 1198.65076Senzaki, Kenta; Tadano, Hiroto; Sakurai, Tetsuya; Bai, Zhaojun 1 2010 A two-directional Arnoldi process and its application to parametric model order reduction. Zbl 1160.65012Li, Yung-Ta; Bai, Zhaojun; Su, Yangfeng 11 2009 A high-quality preconditioning technique for multi-length-scale symmetric positive definite linear systems. Zbl 1212.65122Yamazaki, Ichitaro; Bai, Zhaojun; Chen, Wenbin; Scalettar, Richard 3 2009 An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun 9 2008 High-frequency response analysis via algebraic substructuring. Zbl 1195.74074Ko, Jin Hwan; Bai, Zhaojun 3 2008 A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng 2 2008 The important modes of subsystems: a moment-matching approach. Zbl 1194.74119Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo 8 2007 A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012Bai, Zhaojun; Skoogh, Daniel 54 2006 The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. Zbl 1088.65035Wang, Bin; Su, Yangfeng; Bai, Zhaojun 4 2006 SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024Bai, Zhaojun; Su, Yangfeng 65 2005 Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058Bai, Zhaojun; Su, Yangfeng 64 2005 Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028Li, Ren-Cang; Bai, Zhaojun 17 2005 An algebraic substructuring method for large-scale eigenvalue calculation. Zbl 1092.65032Yang, Chao; Gao, Weiguo; Bai, Zhaojun; Li, Xiaoye S.; Lee, Lie-Quan; Husbands, Parry; Ng, Esmond 11 2005 Reduced-order modeling. Zbl 1180.78032Bai, Zhaojun; Dewilde, Patrick M.; Freund, Roland W. 5 2005 Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng 3 2005 Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136Bai, Zhaojun 111 2002 A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012Bai, Zhaojun; Freund, Roland W. 16 2001 A symmetric band Lanczos process based on coupled recurrences and some applications. Zbl 0997.65064Bai, Zhaojun; Freund, Roland W. 8 2001 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 233 2000 Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044Bai, Zhaojun; Freund, Roland W. 10 2000 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 469 1999 ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045Bai, Zhaojun; Day, David; Ye, Qiang 36 1999 Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035Bai, Zhaojun; Demmel, James 19 1998 Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013Bai, Zhaojun; Ye, Qiang 12 1998 An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021Bai, Zhaojun; Demmel, James; Gu, Ming 37 1997 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013Bai, Zhaojun; Golub, Gene H. 15 1997 Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029Bai, Zhaojun; Stewart, G. W. 6 1997 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 6 1997 Some large-scale matrix computation problems. Zbl 0870.65035Bai, Zhaojun; Fahey, Mark; Golub, Gene 43 1996 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 123 1995 Progress in the numerical solution of the nonsymmetric eigenvalue problem. Zbl 0838.65033Bai, Zhaojun 5 1995 A Newton basis GMRES implementation. Zbl 0818.65022Bai, Zhaojun; Hu, Dan; Reichel, Lothar 15 1994 Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029Bai, Zhaojun 15 1994 Inverse free parallel method for the numerical solution of algebraic Riccati equations. Zbl 0820.65019Bai, Zhaojun; Qian, Qingshan 3 1994 A parallel algorithm for computing the generalized singular value decomposition. Zbl 0797.65038Bai, Zhaojun 1 1994 Computing the generalized singular value decomposition. Zbl 0789.65024Bai, Zhaojun; Demmel, James W. 24 1993 On swapping diagonal blocks in real Schur form. Zbl 0783.65030Bai, Zhaojun; Demmel, James W. 20 1993 A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046Bai, Zhaojun; Zha, Hongyuan 9 1993 On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044Bai, Z.; Demmel, J.; McKenny, A. 5 1993 LAPACK users’ guide. Zbl 0755.65028Anderson, E.; Bai, Z.; Bischof, C. 69 1992 Generalized QR factorization and its applications. Zbl 0747.65022Anderson, E.; Bai, Z.; Dongarra, J. 6 1992 An implementation of the GMRES method using QR factorization. Zbl 0818.65023Bai, Zhaojun; Hu, Dan; Reichel, Lothar 4 1992 On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035Bai, Zhaojun; Demmel, James 12 1989 Note on the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0652.65028Bai, Zhaojun 3 1988 all cited Publications top 5 cited Publications all top 5 Cited by 2,403 Authors 50 Benner, Peter 25 Jiang, Yaolin 25 Reichel, Lothar 24 Li, Rencang 20 Bai, Zhaojun 19 Lin, Wen-Wei 18 Dongarra, Jack J. 17 Nakatsukasa, Yuji 15 Quintana-Ortí, Enrique S. 14 Kressner, Daniel 14 Zhang, Lei-Hong 13 Higham, Nicholas J. 13 Mehrmann, Volker 13 Wei, Yimin 12 Jarlebring, Elias 12 Jbilou, Khalide 12 Saad, Yousef 11 Aishima, Kensuke 11 Gugercin, Serkan 11 Wu, Gang 11 Zlatev, Zahari 10 Dopico, Froilán M. 10 Eberhard, Peter 10 Huang, Tsungming 9 Lin, Yiqin 9 Meerbergen, Karl 9 Román, Jose E. 9 Stykel, Tatjana 8 Bao, Liang 8 Nechepurenko, Yuri M. 8 Sadkane, Miloud 8 Simoncini, Valeria 8 Tomov, Stanimire Z. 8 Wang, Weichung 7 Bentbib, Abdeslem Hafid 7 Desmet, Wim 7 Jia, Zhongxiao 7 Michiels, Wim 7 Quintana-Ortí, Gregorio 7 Su, Yangfeng 7 Tisseur, Françoise 7 Van der Vorst, Henk Albertus 7 Xu, Kangli 7 Yang, Chao 7 Ye, Qiang 6 Alam, Rafikul 6 Demmel, James Weldon 6 Drmač, Zlatko 6 Faragó, István 6 Freund, Roland W. 6 Hernández, Vicente G. 6 Huang, Weiqiang 6 Keyes, David Elliot 6 Li, Wen 6 Lu, Linzhang 6 Mach, Thomas 6 Shen, Chungen 6 Solov’ëv, Sergeĭ Ivanovich 6 Van Dooren, Paul M. 6 Voss, Heinrich 6 Watkins, David S. 6 Xi, Yuanzhe 6 Xiao, Zhihua 6 Xu, Wei-Wei 6 Yamamoto, Yusaku 5 Bientinesi, Paolo 5 Chen, Xiaoshan 5 Demyanko, Kirill V. 5 Fika, Paraskevi 5 Ghafoor, Abdul 5 Goyal, Pawan 5 Hwang, Tsung-Min 5 Kågström, Bo 5 Kalantzis, Vassilis 5 Lin, Lin 5 Lu, Ding 5 Matsuo, Takayasu 5 Mitrouli, Marilena 5 Murota, Kazuo 5 Rodriguez, Giuseppe 5 Sadok, Hassane 5 Sakurai, Tetsuya 5 Shao, Meiyue 5 Sleijpen, Gerard L. G. 5 Szyld, Daniel B. 5 Walker, David W. 5 Wang, Xiaolong 5 Ward, Michael J. 5 Zhang, Shao-Liang 4 Arndt, Daniel 4 Baboulin, Marc 4 Baglama, James 4 Bai, Zhengjian 4 Bangerth, Wolfgang 4 Barkouki, Houda 4 Baur, Ulrike 4 Bergamaschi, Luca 4 Bosner, Nela 4 Breiten, Tobias 4 Byers, Ralph ...and 2,303 more Authors all top 5 Cited in 243 Serials 113 Linear Algebra and its Applications 96 Journal of Computational and Applied Mathematics 80 Journal of Computational Physics 63 SIAM Journal on Scientific Computing 53 SIAM Journal on Matrix Analysis and Applications 52 Numerical Linear Algebra with Applications 47 Computer Methods in Applied Mechanics and Engineering 45 Numerical Algorithms 44 International Journal for Numerical Methods in Engineering 38 Computer Physics Communications 34 BIT 30 Computers & Mathematics with Applications 27 Applied Numerical Mathematics 26 Applied Mathematics and Computation 21 Numerische Mathematik 19 Journal of Scientific Computing 15 Computers and Fluids 15 International Journal of Control 15 Mathematics of Computation 15 Systems & Control Letters 15 Optimization Methods & Software 15 Mathematical and Computer Modelling of Dynamical Systems 14 ACM Transactions on Mathematical Software 13 Journal of Fluid Mechanics 13 Japan Journal of Industrial and Applied Mathematics 13 Engineering Analysis with Boundary Elements 12 Automatica 12 Advances in Computational Mathematics 11 Computational Mechanics 11 Computational Optimization and Applications 10 Journal of the Franklin Institute 9 Mathematics and Computers in Simulation 9 International Journal of Computer Mathematics 8 Calcolo 7 Computing 7 European Journal of Operational Research 7 SIAM Review 7 Computational Statistics and Data Analysis 7 SIAM Journal on Optimization 7 ETNA. Electronic Transactions on Numerical Analysis 7 Mathematical Problems in Engineering 7 Multibody System Dynamics 6 Parallel Computing 6 Applied Mathematics Letters 6 Mathematical and Computer Modelling 6 Mathematical Programming. Series A. Series B 6 Archives of Computational Methods in Engineering 6 Acta Numerica 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Physica D 5 COMPEL 5 Applied Mathematical Modelling 5 Lobachevskii Journal of Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Numerical Algebra, Control and Optimization 4 Acta Mechanica 4 International Journal for Numerical Methods in Fluids 4 Journal of Mathematical Physics 4 Linear and Multilinear Algebra 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Numerical Analysis 4 Machine Learning 4 Physics of Fluids 4 Russian Journal of Numerical Analysis and Mathematical Modelling 4 Concurrency and Computation: Practice & Experience 4 Journal of Numerical Mathematics 4 Mathematical Programming Computation 4 Science China. Mathematics 4 Statistics and Computing 4 East Asian Journal on Applied Mathematics 3 Theoretical Computer Science 3 Computer Aided Geometric Design 3 Annals of Operations Research 3 Annals of Physics 3 Journal of Nonlinear Science 3 Communications in Numerical Methods in Engineering 3 Parallel Algorithms and Applications 3 European Journal of Control 3 Computing and Visualization in Science 3 International Journal of Numerical Modelling 3 European Journal of Mechanics. A. Solids 3 Computational Geosciences 3 Foundations of Computational Mathematics 3 Journal of Applied Mathematics and Computing 3 Multiscale Modeling & Simulation 3 International Journal of Computational Methods 3 GAMM-Mitteilungen 3 JSIAM Letters 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Classical and Quantum Gravity 2 International Journal of Solids and Structures 2 Mathematical Biosciences 2 Mathematical Notes 2 Physics Letters. A 2 Information Sciences 2 International Journal of Circuit Theory and Applications 2 Studies in Applied Mathematics 2 Constructive Approximation 2 Computers & Operations Research 2 Journal of Global Optimization ...and 143 more Serials all top 5 Cited in 48 Fields 1,006 Numerical analysis (65-XX) 281 Linear and multilinear algebra; matrix theory (15-XX) 189 Systems theory; control (93-XX) 130 Fluid mechanics (76-XX) 116 Mechanics of deformable solids (74-XX) 104 Partial differential equations (35-XX) 90 Computer science (68-XX) 87 Operations research, mathematical programming (90-XX) 58 Statistics (62-XX) 55 Ordinary differential equations (34-XX) 52 Quantum theory (81-XX) 50 Optics, electromagnetic theory (78-XX) 41 Statistical mechanics, structure of matter (82-XX) 31 Mechanics of particles and systems (70-XX) 28 Approximations and expansions (41-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 28 Biology and other natural sciences (92-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Combinatorics (05-XX) 18 Operator theory (47-XX) 18 Probability theory and stochastic processes (60-XX) 17 Geophysics (86-XX) 17 Information and communication theory, circuits (94-XX) 16 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Difference and functional equations (39-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX) Citations by Year