Edit Profile Bai, Zhaojun Compute Distance To: Compute Author ID: bai.zhaojun Published as: Bai, Z.; Bai, ZhaoJun; Bai, Zhaojun Homepage: http://web.cs.ucdavis.edu/~bai/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 76 Publications since 1988, including 7 Books all top 5 Co-Authors 8 single-authored 12 Su, Yangfeng 11 Li, Rencang 10 Demmel, James Weldon 5 Dongarra, Jack J. 5 Freund, Roland W. 4 Anderson, Edward 4 Gao, Weiguo 4 Yang, Chao 3 Bischof, Christian H. 3 Cai, Yunfeng 3 Golub, Gene Howard 3 Lin, Wen-Wei 3 Lu, Ding 2 Du Croz, Jeremy J. 2 Greenbaum, Anne 2 Hammarling, Sven J. 2 Hu, Dan 2 Huang, Xin 2 Lee, Lie-Quan 2 Li, Xiaoye Sherry 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 Day, David M. 1 Dewilde, Patrick M. 1 Dewilde, Patrick W. 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 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 Robinson, Helen D. 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, Bin 1 Wang, Chern-Shuh 1 Wang, Li 1 Wang, Lin-Wang 1 Wu, Kesheng 1 Xiao, Liling 1 Xu, Shufang 1 Zha, Hongyuan 1 Zhang, Pingwen all top 5 Serials 10 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 62 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) 3 Statistics (62-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-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 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 64 Publications have been cited 1,725 times in 1,410 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. 443 1999 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.) 255 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. 168 1995 Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136Bai, Zhaojun 90 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 56 2005 Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058Bai, Zhaojun; Su, Yangfeng 54 2005 A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012Bai, Zhaojun; Skoogh, Daniel 45 2006 Some large-scale matrix computation problems. Zbl 0870.65035Bai, Zhaojun; Fahey, Mark; Golub, Gene 41 1996 An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021Bai, Zhaojun; Demmel, James; Gu, Ming 36 1997 ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045Bai, Zhaojun; Day, David; Ye, Qiang 34 1999 Solving rational eigenvalue problems via linearization. Zbl 1222.65034Su, Yangfeng; Bai, Zhaojun 27 2011 Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102Bai, Zhaojun; Li, Ren-Cang 23 2013 Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078Bai, Zhaojun; Li, Ren-Cang 20 2012 Computing the generalized singular value decomposition. Zbl 0789.65024Bai, Zhaojun; Demmel, James W. 20 1993 Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035Bai, Zhaojun; Demmel, James 19 1998 On swapping diagonal blocks in real Schur form. Zbl 0783.65030Bai, Zhaojun; Demmel, James W. 17 1993 A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012Bai, Zhaojun; Freund, Roland W. 16 2001 A Newton basis GMRES implementation. Zbl 0818.65022Bai, Zhaojun; Hu, Dan; Reichel, Lothar 15 1994 Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems. Zbl 1198.65072Liao, Ben-Shan; Bai, Zhaojun; Lee, Lie-Quan; Ko, Kwok 14 2010 Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029Bai, Zhaojun 14 1994 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013Bai, Zhaojun; Golub, Gene H. 13 1997 Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng 12 2010 Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028Li, Ren-Cang; Bai, Zhaojun 12 2005 Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013Bai, Zhaojun; Ye, Qiang 12 1998 On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035Bai, Zhaojun; Demmel, James 12 1989 Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102Lu, Ding; Su, Yangfeng; Bai, Zhaojun 11 2016 Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François 11 2010 A two-directional Arnoldi process and its application to parametric model order reduction. Zbl 1160.65012Li, Yung-Ta; Bai, Zhaojun; Su, Yangfeng 10 2009 Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093Huang, Xin; Bai, Zhaojun; Su, Yangfeng 9 2010 The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149Meerbergen, Karl; Bai, Zhaojun 9 2010 Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044Bai, Zhaojun; Freund, Roland W. 9 2000 Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010Liang, Xin; Li, Ren-Cang; Bai, Zhaojun 8 2013 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 8 2005 A symmetric band Lanczos process based on coupled recurrences and some applications. Zbl 0997.65064Bai, Zhaojun; Freund, Roland W. 8 2001 Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029Bai, Zhaojun; Stewart, G. W. 7 1997 A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046Bai, Zhaojun; Zha, Hongyuan 7 1993 Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053Bai, Zhaojun; Li, Ren-Cang 6 2014 An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun 6 2008 The important modes of subsystems: a moment-matching approach. Zbl 1194.74119Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo 6 2007 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 Generalized QR factorization and its applications. Zbl 0747.65022Anderson, E.; Bai, Z.; Dongarra, J. 6 1992 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 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 An implementation of the GMRES method using QR factorization. Zbl 0818.65023Bai, Zhaojun; Hu, Dan; Reichel, Lothar 4 1992 On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang 3 2018 Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021Bai, ZhaoJun; Li, RenCang; Lin, WenWei 3 2016 Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng 3 2005 Inverse free parallel method for the numerical solution of algebraic Riccati equations. Zbl 0820.65019Bai, Zhaojun; Qian, Qingshan 3 1994 Note on the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0652.65028Bai, Zhaojun 3 1988 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 2 2018 Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148Bai, Zhaojun; Lu, Ding; Vandereycken, Bart 2 2018 A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang 2 2016 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 A high-quality preconditioning technique for multi-length-scale symmetric positive definite linear systems. Zbl 1212.65122Yamazaki, Ichitaro; Bai, Zhaojun; Chen, Wenbin; Scalettar, Richard 2 2009 High-frequency response analysis via algebraic substructuring. Zbl 1195.74074Ko, Jin Hwan; Bai, Zhaojun 2 2008 A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng 2 2008 On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044Bai, Z.; Demmel, J.; McKenny, A. 2 1993 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 method for profiling the distribution of eigenvalues using the AS method. Zbl 1198.65076Senzaki, Kenta; Tadano, Hiroto; Sakurai, Tetsuya; Bai, Zhaojun 1 2010 A parallel algorithm for computing the generalized singular value decomposition. Zbl 0797.65038Bai, Zhaojun 1 1994 On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang 3 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 2 2018 Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148Bai, Zhaojun; Lu, Ding; Vandereycken, Bart 2 2018 Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102Lu, Ding; Su, Yangfeng; Bai, Zhaojun 11 2016 Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021Bai, ZhaoJun; Li, RenCang; Lin, WenWei 3 2016 A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang 2 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 6 2014 Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102Bai, Zhaojun; Li, Ren-Cang 23 2013 Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010Liang, Xin; Li, Ren-Cang; Bai, Zhaojun 8 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 20 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 27 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 14 2010 Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng 12 2010 Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François 11 2010 Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093Huang, Xin; Bai, Zhaojun; Su, Yangfeng 9 2010 The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149Meerbergen, Karl; Bai, Zhaojun 9 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 10 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 2 2009 An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun 6 2008 High-frequency response analysis via algebraic substructuring. Zbl 1195.74074Ko, Jin Hwan; Bai, Zhaojun 2 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 6 2007 A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012Bai, Zhaojun; Skoogh, Daniel 45 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 56 2005 Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058Bai, Zhaojun; Su, Yangfeng 54 2005 Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028Li, Ren-Cang; Bai, Zhaojun 12 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 8 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 90 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 0965.65058Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.) 255 2000 Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044Bai, Zhaojun; Freund, Roland W. 9 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. 443 1999 ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045Bai, Zhaojun; Day, David; Ye, Qiang 34 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 36 1997 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013Bai, Zhaojun; Golub, Gene H. 13 1997 Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029Bai, Zhaojun; Stewart, G. W. 7 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 41 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. 168 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 14 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. 20 1993 On swapping diagonal blocks in real Schur form. Zbl 0783.65030Bai, Zhaojun; Demmel, James W. 17 1993 A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046Bai, Zhaojun; Zha, Hongyuan 7 1993 On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044Bai, Z.; Demmel, J.; McKenny, A. 2 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 2,321 Authors 43 Benner, Peter 25 Lin, Wen-Wei 23 Jiang, Yaolin 22 Reichel, Lothar 21 Li, Rencang 20 Bai, Zhaojun 17 Dongarra, Jack J. 17 Wei, Yimin 16 Nakatsukasa, Yuji 16 Quintana-Ortí, Enrique S. 15 Mehrmann, Volker 13 Kressner, Daniel 13 Saad, Yousef 12 Wu, Gang 11 Aishima, Kensuke 11 Higham, Nicholas J. 11 Jbilou, Khalide 11 Simoncini, Valeria 11 Zlatev, Zahari 10 Román, Jose E. 10 Zhang, Lei-Hong 9 Dopico, Froilán M. 9 Eberhard, Peter 9 Gugercin, Serkan 9 Huang, Tsungming 9 Jarlebring, Elias 9 Lin, Yiqin 8 Bao, Liang 8 Demmel, James Weldon 8 Meerbergen, Karl 8 Quintana-Ortí, Gregorio 8 Sadkane, Miloud 8 Tomov, Stanimire Z. 8 Wang, Weichung 8 Xu, Kangli 8 Yang, Chao 8 Ye, Qiang 7 Michiels, Wim 7 Stykel, Tatjana 7 Su, Yangfeng 7 Tisseur, Françoise 7 Van der Vorst, Henk Albertus 7 Voss, Heinrich 6 Alam, Rafikul 6 Bentbib, Abdeslem Hafid 6 Drmač, Zlatko 6 Faragó, István 6 Freund, Roland W. 6 Hernández, Vicente G. 6 Huang, Weiqiang 6 Hwang, Tsung-Min 6 Jia, Zhongxiao 6 Li, Wen 6 Lu, Linzhang 6 Nechepurenko, Yuri M. 6 Neymeyr, Klaus 6 Pan, Victor Yakovlevich 6 Solov’ëv, Sergeĭ Ivanovich 6 Van Dooren, Paul M. 6 Xi, Yuanzhe 6 Yamamoto, Yusaku 5 Bientinesi, Paolo 5 Demyanko, Kirill V. 5 Desmet, Wim 5 Fika, Paraskevi 5 Ghafoor, Abdul 5 Kågström, Bo 5 Keyes, David Elliot 5 Lin, Lin 5 Liu, Jinn-Liang 5 Matsuo, Takayasu 5 Mitrouli, Marilena 5 Murota, Kazuo 5 Paprzycki, Marcin 5 Rodriguez, Giuseppe 5 Sadok, Hassane 5 Sakurai, Tetsuya 5 Shao, Meiyue 5 Sherwin, Spencer J. 5 Sleijpen, Gerard L. G. 5 Szyld, Daniel B. 5 van de Geijn, Robert Alexander 5 Walker, David W. 5 Wang, Xiaolong 5 Ward, Michael J. 5 Watkins, David S. 5 Xiao, Zhi-Hua 5 Xu, Wei-Wei 5 Zhang, Shao-Liang 5 Zhou, Yunkai 4 Baboulin, Marc 4 Barkouki, Houda 4 Baur, Ulrike 4 Bergamaschi, Luca 4 Bosner, Nela 4 Breiten, Tobias 4 Byers, Ralph 4 Cai, Yunfeng 4 Calvetti, Daniela 4 Campos, Carmen ...and 2,221 more Authors all top 5 Cited in 227 Serials 134 Linear Algebra and its Applications 98 Journal of Computational and Applied Mathematics 83 Journal of Computational Physics 57 SIAM Journal on Scientific Computing 52 Numerical Linear Algebra with Applications 45 Computer Physics Communications 44 International Journal for Numerical Methods in Engineering 39 Computer Methods in Applied Mechanics and Engineering 37 SIAM Journal on Matrix Analysis and Applications 37 Numerical Algorithms 34 BIT 33 Computers & Mathematics with Applications 29 Applied Numerical Mathematics 27 Applied Mathematics and Computation 21 Numerische Mathematik 17 Journal of Scientific Computing 17 Engineering Analysis with Boundary Elements 16 Computers and Fluids 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 International Journal of Control 13 Journal of Fluid Mechanics 13 Automatica 12 Japan Journal of Industrial and Applied Mathematics 11 Journal of the Franklin Institute 10 Advances in Computational Mathematics 9 International Journal of Computer Mathematics 9 Computational Optimization and Applications 8 Computational Statistics and Data Analysis 7 Calcolo 7 Computing 7 Computational Mechanics 7 Mathematical and Computer Modelling 7 SIAM Review 6 Parallel Computing 6 Applied Mathematics Letters 6 European Journal of Operational Research 6 Mathematical Programming. Series A. Series B 6 Mathematical Problems in Engineering 6 Multibody System Dynamics 6 Archives of Computational Methods in Engineering 6 Acta Numerica 5 Mathematics and Computers in Simulation 5 COMPEL 5 Applied Mathematical Modelling 5 SIAM Journal on Optimization 5 Lobachevskii Journal of Mathematics 4 Acta Mechanica 4 International Journal for Numerical Methods in Fluids 4 Journal of Mathematical Physics 4 Linear and Multilinear Algebra 4 Physica D 4 Physics of Fluids 4 ETNA. Electronic Transactions on Numerical Analysis 4 Concurrency and Computation: Practice & Experience 4 International Journal of Computational Methods 4 Mathematical Programming Computation 4 Science China. Mathematics 4 Statistics and Computing 4 Numerical Algebra, Control and Optimization 3 SIAM Journal on Numerical Analysis 3 Theoretical Computer Science 3 Computer Aided Geometric Design 3 Journal of Symbolic Computation 3 Annals of Operations Research 3 Annals of Physics 3 Pattern Recognition 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 Computational Geosciences 3 Foundations of Computational Mathematics 3 Journal of Numerical Mathematics 3 Journal of Applied Mathematics and Computing 3 GAMM-Mitteilungen 3 JSIAM Letters 3 East Asian Journal on Applied Mathematics 2 International Journal of Solids and Structures 2 Mathematical Biosciences 2 Mathematical Notes 2 Wave Motion 2 International Journal of Circuit Theory and Applications 2 Journal of Optimization Theory and Applications 2 Studies in Applied Mathematics 2 Computers & Operations Research 2 Journal of Global Optimization 2 Computational Statistics 2 Computational Mathematics and Mathematical Physics 2 Applied and Computational Harmonic Analysis 2 Computational and Applied Mathematics 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Journal of Computational Neuroscience 2 Journal of Geodesy 2 ELA. The Electronic Journal of Linear Algebra ...and 127 more Serials all top 5 Cited in 44 Fields 964 Numerical analysis (65-XX) 259 Linear and multilinear algebra; matrix theory (15-XX) 165 Systems theory; control (93-XX) 126 Fluid mechanics (76-XX) 103 Partial differential equations (35-XX) 100 Mechanics of deformable solids (74-XX) 89 Computer science (68-XX) 71 Operations research, mathematical programming (90-XX) 57 Quantum theory (81-XX) 50 Ordinary differential equations (34-XX) 50 Statistics (62-XX) 45 Optics, electromagnetic theory (78-XX) 44 Statistical mechanics, structure of matter (82-XX) 27 Approximations and expansions (41-XX) 27 Mechanics of particles and systems (70-XX) 25 Biology and other natural sciences (92-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Combinatorics (05-XX) 16 Probability theory and stochastic processes (60-XX) 16 Geophysics (86-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Information and communication theory, circuits (94-XX) 10 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Field theory and polynomials (12-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 6 Integral equations (45-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Astronomy and astrophysics (85-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline