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Author ID: bai.zhaojun Recent zbMATH articles by "Bai, Zhaojun"
Published as: Bai, Zhaojun; Bai, Z.; Bai, ZhaoJun
Homepage: http://web.cs.ucdavis.edu/~bai/
External Links: MGP · dblp · GND
all top 5

Co-Authors

8 single-authored
15 Su, Yangfeng
14 Li, Rencang
10 Demmel, James Weldon
6 Lu, Ding
5 Dongarra, Jack J.
5 Freund, Roland W.
4 Cai, Yunfeng
4 Gao, Weiguo
4 Yang, Chao
3 Bischof, Christian H.
3 Golub, Gene Howard
3 Lu, Tianyi
3 Zhang, Lei-Hong
2 Chen, Wenbin
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 Lin, Chao-Ping
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 Wang, Li
2 Yamazaki, Ichitaro
2 Ye, Qiang
1 Benzi, Michele
1 Blackford, S.
1 Brush, Charles
1 Chung, Francis J.
1 Dai, Yu-Hong
1 Dixon, Matthew F.
1 Dogrul, Emin
1 E, Weinan
1 Elman, Howard C.
1 Fahey, Mark R.
1 Garrett, C. Kristopher
1 Ge, Lixin
1 Grimes, Roger G.
1 Gu, Ming
1 Gygi, François
1 Higham, Nicholas J.
1 Husbands, Parry
1 Kadir, Tariq
1 Kilmer, Misha Elena
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 Mehrmann, Volker
1 Nakatsukasa, Yuji
1 Neymeyr, Klaus
1 Ng, Cho-Kuen
1 Orlandi, Antonio
1 Ostrouchov, Susan
1 Petitet, Antoine
1 Qian, Qingshan
1 Roh, Dong Min
1 Ruhe, Axel
1 Sakurai, Tetsuya
1 Scalettar, Richard T.
1 Senzaki, Kenta
1 Shao, Nian
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, Lin-Wang
1 Wu, Kesheng
1 Xiao, Liling
1 Xie, Huiqing
1 Xu, Shufang
1 Zha, Hongyuan
1 Zhang, Pingwen
1 Zhou, Ming
1 Zhou, Yunshen

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 2,237 times in 1,802 Documents Cited by Year
LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D.
578
1999
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
327
2000
LAPACK user’s guide. 2nd ed. Zbl 0843.65018
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D.
137
1995
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
Bai, Zhaojun
130
2002
SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024
Bai, Zhaojun; Su, Yangfeng
81
2005
LAPACK users’ guide. Zbl 0755.65028
Anderson, E.; Bai, Z.; Bischof, C.
80
1992
Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058
Bai, Zhaojun; Su, Yangfeng
78
2005
A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012
Bai, Zhaojun; Skoogh, Daniel
59
2006
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
50
1996
Solving rational eigenvalue problems via linearization. Zbl 1222.65034
Su, Yangfeng; Bai, Zhaojun
43
2011
An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021
Bai, Zhaojun; Demmel, James; Gu, Ming
41
1997
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045
Bai, Zhaojun; Day, David; Ye, Qiang
39
1999
Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102
Bai, Zhaojun; Li, Ren-Cang
32
2013
Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078
Bai, Zhaojun; Li, Ren-Cang
30
2012
Computing the generalized singular value decomposition. Zbl 0789.65024
Bai, Zhaojun; Demmel, James W.
27
1993
On swapping diagonal blocks in real Schur form. Zbl 0783.65030
Bai, Zhaojun; Demmel, James W.
23
1993
A Newton basis GMRES implementation. Zbl 0818.65022
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
23
1994
Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102
Lu, Ding; Su, Yangfeng; Bai, Zhaojun
23
2016
Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035
Bai, Zhaojun; Demmel, James
22
1998
On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036
Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang
20
2018
A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012
Bai, Zhaojun; Freund, Roland W.
19
2001
Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028
Li, Ren-Cang; Bai, Zhaojun
19
2005
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013
Bai, Zhaojun; Golub, Gene H.
18
1997
Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081
Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François
17
2010
Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems. Zbl 1198.65072
Liao, Ben-Shan; Bai, Zhaojun; Lee, Lie-Quan; Ko, Kwok
17
2010
Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029
Bai, Zhaojun
16
1994
Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013
Bai, Zhaojun; Ye, Qiang
14
1998
On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035
Bai, Zhaojun; Demmel, James
14
1989
Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089
Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng
14
2010
Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010
Liang, Xin; Li, Ren-Cang; Bai, Zhaojun
14
2013
Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148
Bai, Zhaojun; Lu, Ding; Vandereycken, Bart
14
2018
Generalized QR factorization and its applications. Zbl 0747.65022
Anderson, E.; Bai, Z.; Dongarra, J.
12
1992
Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093
Huang, Xin; Bai, Zhaojun; Su, Yangfeng
11
2010
An algebraic substructuring method for large-scale eigenvalue calculation. Zbl 1092.65032
Yang, Chao; Gao, Weiguo; Bai, Zhaojun; Li, Xiaoye S.; Lee, Lie-Quan; Husbands, Parry; Ng, Esmond
11
2005
A two-directional Arnoldi process and its application to parametric model order reduction. Zbl 1160.65012
Li, Yung-Ta; Bai, Zhaojun; Su, Yangfeng
11
2009
A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046
Bai, Zhaojun; Zha, Hongyuan
11
1993
Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053
Bai, Zhaojun; Li, Ren-Cang
11
2014
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149
Meerbergen, Karl; Bai, Zhaojun
11
2010
Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044
Bai, Zhaojun; Freund, Roland W.
10
2000
An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121
Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun
10
2008
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021
Bai, ZhaoJun; Li, RenCang; Lin, WenWei
9
2016
The important modes of subsystems: a moment-matching approach. Zbl 1194.74119
Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo
9
2007
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
8
1997
A symmetric band Lanczos process based on coupled recurrences and some applications. Zbl 0997.65064
Bai, Zhaojun; Freund, Roland W.
8
2001
Reduced-order modeling. Zbl 1180.78032
Bai, Zhaojun; Dewilde, Patrick M.; Freund, Roland W.
8
2005
The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034
Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H.
7
1997
A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping. Zbl 1352.65120
Lu, Ding; Huang, Xin; Bai, Zhaojun; Su, Yangfeng
6
2015
Progress in the numerical solution of the nonsymmetric eigenvalue problem. Zbl 0838.65033
Bai, Zhaojun
5
1995
On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044
Bai, Z.; Demmel, J.; McKenny, A.
5
1993
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
5
2013
The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. Zbl 1088.65035
Wang, Bin; Su, Yangfeng; Bai, Zhaojun
4
2006
An implementation of the GMRES method using QR factorization. Zbl 0818.65023
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
4
1992
A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010
Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng
4
2008
A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057
Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang
4
2016
Sharp estimation of convergence rate for self-consistent field iteration to solve eigenvector-dependent nonlinear eigenvalue problems. Zbl 1492.65142
Bai, Zhaojun; Li, Ren-Cang; Lu, Ding
4
2022
Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. Zbl 1416.78039
Van Beeumen, Roel; Marques, Osni; Ng, Esmond G.; Yang, Chao; Bai, Zhaojun; Ge, Lixin; Kononenko, Oleksiy; Li, Zenghai; Ng, Cho-Kuen; Xiao, Liling
4
2018
Note on the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0652.65028
Bai, Zhaojun
3
1988
A high-quality preconditioning technique for multi-length-scale symmetric positive definite linear systems. Zbl 1212.65122
Yamazaki, Ichitaro; Bai, Zhaojun; Chen, Wenbin; Scalettar, Richard
3
2009
Inverse free parallel method for the numerical solution of algebraic Riccati equations. Zbl 0820.65019
Bai, Zhaojun; Qian, Qingshan
3
1994
Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530
Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng
3
2005
Orthogonal canonical correlation analysis and applications. Zbl 1455.65059
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang
3
2020
High-frequency response analysis via algebraic substructuring. Zbl 1195.74074
Ko, Jin Hwan; Bai, Zhaojun
3
2008
A structured quasi-Arnoldi procedure for model order reduction of second-order systems. Zbl 1237.93036
Li, Yung-Ta; Bai, Zhaojun; Lin, Wen-Wei; Su, Yangfeng
2
2012
Stable solutions of linear systems involving long chain of matrix multiplications. Zbl 1220.65035
Bai, Zhaojun; Lee, Cherung; Li, Ren-Cang; Xu, Shufang
2
2011
Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems. Zbl 1424.65039
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
2
2018
A parallel algorithm for computing the generalized singular value decomposition. Zbl 0797.65038
Bai, Zhaojun
1
1994
A method for profiling the distribution of eigenvalues using the AS method. Zbl 1198.65076
Senzaki, Kenta; Tadano, Hiroto; Sakurai, Tetsuya; Bai, Zhaojun
1
2010
Sharp estimation of convergence rate for self-consistent field iteration to solve eigenvector-dependent nonlinear eigenvalue problems. Zbl 1492.65142
Bai, Zhaojun; Li, Ren-Cang; Lu, Ding
4
2022
Orthogonal canonical correlation analysis and applications. Zbl 1455.65059
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang
3
2020
On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036
Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang
20
2018
Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148
Bai, Zhaojun; Lu, Ding; Vandereycken, Bart
14
2018
Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. Zbl 1416.78039
Van Beeumen, Roel; Marques, Osni; Ng, Esmond G.; Yang, Chao; Bai, Zhaojun; Ge, Lixin; Kononenko, Oleksiy; Li, Zenghai; Ng, Cho-Kuen; Xiao, Liling
4
2018
Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems. Zbl 1424.65039
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
2
2018
Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102
Lu, Ding; Su, Yangfeng; Bai, Zhaojun
23
2016
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021
Bai, ZhaoJun; Li, RenCang; Lin, WenWei
9
2016
A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057
Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang
4
2016
A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping. Zbl 1352.65120
Lu, Ding; Huang, Xin; Bai, Zhaojun; Su, Yangfeng
6
2015
Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053
Bai, Zhaojun; Li, Ren-Cang
11
2014
Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102
Bai, Zhaojun; Li, Ren-Cang
32
2013
Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010
Liang, Xin; Li, Ren-Cang; Bai, Zhaojun
14
2013
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
5
2013
Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078
Bai, Zhaojun; Li, Ren-Cang
30
2012
A structured quasi-Arnoldi procedure for model order reduction of second-order systems. Zbl 1237.93036
Li, Yung-Ta; Bai, Zhaojun; Lin, Wen-Wei; Su, Yangfeng
2
2012
Solving rational eigenvalue problems via linearization. Zbl 1222.65034
Su, Yangfeng; Bai, Zhaojun
43
2011
Stable solutions of linear systems involving long chain of matrix multiplications. Zbl 1220.65035
Bai, Zhaojun; Lee, Cherung; Li, Ren-Cang; Xu, Shufang
2
2011
Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081
Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François
17
2010
Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems. Zbl 1198.65072
Liao, Ben-Shan; Bai, Zhaojun; Lee, Lie-Quan; Ko, Kwok
17
2010
Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089
Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng
14
2010
Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093
Huang, Xin; Bai, Zhaojun; Su, Yangfeng
11
2010
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149
Meerbergen, Karl; Bai, Zhaojun
11
2010
A method for profiling the distribution of eigenvalues using the AS method. Zbl 1198.65076
Senzaki, Kenta; Tadano, Hiroto; Sakurai, Tetsuya; Bai, Zhaojun
1
2010
A two-directional Arnoldi process and its application to parametric model order reduction. Zbl 1160.65012
Li, Yung-Ta; Bai, Zhaojun; Su, Yangfeng
11
2009
A high-quality preconditioning technique for multi-length-scale symmetric positive definite linear systems. Zbl 1212.65122
Yamazaki, Ichitaro; Bai, Zhaojun; Chen, Wenbin; Scalettar, Richard
3
2009
An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121
Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun
10
2008
A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010
Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng
4
2008
High-frequency response analysis via algebraic substructuring. Zbl 1195.74074
Ko, Jin Hwan; Bai, Zhaojun
3
2008
The important modes of subsystems: a moment-matching approach. Zbl 1194.74119
Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo
9
2007
A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012
Bai, Zhaojun; Skoogh, Daniel
59
2006
The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. Zbl 1088.65035
Wang, Bin; Su, Yangfeng; Bai, Zhaojun
4
2006
SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024
Bai, Zhaojun; Su, Yangfeng
81
2005
Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058
Bai, Zhaojun; Su, Yangfeng
78
2005
Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028
Li, Ren-Cang; Bai, Zhaojun
19
2005
An algebraic substructuring method for large-scale eigenvalue calculation. Zbl 1092.65032
Yang, Chao; Gao, Weiguo; Bai, Zhaojun; Li, Xiaoye S.; Lee, Lie-Quan; Husbands, Parry; Ng, Esmond
11
2005
Reduced-order modeling. Zbl 1180.78032
Bai, Zhaojun; Dewilde, Patrick M.; Freund, Roland W.
8
2005
Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530
Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng
3
2005
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. Zbl 1012.65136
Bai, Zhaojun
130
2002
A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012
Bai, Zhaojun; Freund, Roland W.
19
2001
A symmetric band Lanczos process based on coupled recurrences and some applications. Zbl 0997.65064
Bai, Zhaojun; Freund, Roland W.
8
2001
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
327
2000
Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044
Bai, Zhaojun; Freund, Roland W.
10
2000
LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D.
578
1999
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045
Bai, Zhaojun; Day, David; Ye, Qiang
39
1999
Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035
Bai, Zhaojun; Demmel, James
22
1998
Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013
Bai, Zhaojun; Ye, Qiang
14
1998
An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021
Bai, Zhaojun; Demmel, James; Gu, Ming
41
1997
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013
Bai, Zhaojun; Golub, Gene H.
18
1997
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
8
1997
The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034
Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H.
7
1997
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
50
1996
LAPACK user’s guide. 2nd ed. Zbl 0843.65018
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D.
137
1995
Progress in the numerical solution of the nonsymmetric eigenvalue problem. Zbl 0838.65033
Bai, Zhaojun
5
1995
A Newton basis GMRES implementation. Zbl 0818.65022
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
23
1994
Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029
Bai, Zhaojun
16
1994
Inverse free parallel method for the numerical solution of algebraic Riccati equations. Zbl 0820.65019
Bai, Zhaojun; Qian, Qingshan
3
1994
A parallel algorithm for computing the generalized singular value decomposition. Zbl 0797.65038
Bai, Zhaojun
1
1994
Computing the generalized singular value decomposition. Zbl 0789.65024
Bai, Zhaojun; Demmel, James W.
27
1993
On swapping diagonal blocks in real Schur form. Zbl 0783.65030
Bai, Zhaojun; Demmel, James W.
23
1993
A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046
Bai, Zhaojun; Zha, Hongyuan
11
1993
On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044
Bai, Z.; Demmel, J.; McKenny, A.
5
1993
LAPACK users’ guide. Zbl 0755.65028
Anderson, E.; Bai, Z.; Bischof, C.
80
1992
Generalized QR factorization and its applications. Zbl 0747.65022
Anderson, E.; Bai, Z.; Dongarra, J.
12
1992
An implementation of the GMRES method using QR factorization. Zbl 0818.65023
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
4
1992
On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035
Bai, Zhaojun; Demmel, James
14
1989
Note on the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0652.65028
Bai, Zhaojun
3
1988
all top 5

Cited by 2,983 Authors

59 Benner, Peter
29 Jiang, Yaolin
28 Li, Rencang
25 Reichel, Lothar
21 Bai, Zhaojun
20 Dongarra, Jack J.
20 Lin, Wen-Wei
20 Nakatsukasa, Yuji
18 Kressner, Daniel
18 Zhang, Lei-Hong
17 Quintana-Ortí, Enrique S.
16 Mehrmann, Volker
16 Wei, Yimin
15 Higham, Nicholas J.
15 Jarlebring, Elias
14 Román, Jose E.
13 Dopico, Froilán M.
13 Jbilou, Khalide
13 Saad, Yousef
12 Wu, Gang
11 Aishima, Kensuke
11 Gugercin, Serkan
11 Jia, Zhongxiao
11 Meerbergen, Karl
11 Simoncini, Valeria
11 Stykel, Tatjana
11 Zlatev, Zahari
10 Desmet, Wim
10 Eberhard, Peter
10 Huang, Tsungming
10 Tomov, Stanimire Z.
10 Van Dooren, Paul M.
10 Yang, Chao
9 Lin, Yiqin
9 Sadkane, Miloud
9 Wang, Weichung
8 Bao, Liang
8 Demmel, James Weldon
8 Michiels, Wim
8 Nechepurenko, Yuri M.
8 Quintana-Ortí, Gregorio
8 Xu, Kangli
8 Yamamoto, Yusaku
8 Ye, Qiang
7 Alam, Rafikul
7 Baglama, James
7 Bentbib, Abdeslem Hafid
7 Drmač, Zlatko
7 Keyes, David Elliot
7 Li, Wen
7 Lin, Lin
7 Maier, Matthias Sebastian
7 Neymeyr, Klaus
7 Shen, Chungen
7 Solov’ëv, Sergeĭ Ivanovich
7 Su, Yangfeng
7 Tisseur, Françoise
7 Van der Vorst, Henk Albertus
7 Voss, Heinrich
7 Watkins, David S.
7 Xi, Yuanzhe
7 Xiao, Zhihua
7 Xu, Wei-Wei
6 Arndt, Daniel
6 Baboulin, Marc
6 Bangerth, Wolfgang
6 Campos, Carmen
6 Carson, Erin Claire
6 Deckers, Elke
6 Faragó, István
6 Freund, Roland W.
6 Grigori, Laura
6 Heister, Timo
6 Heltai, Luca
6 Hernández, Vicente G.
6 Huang, Weiqiang
6 Hwang, Tsung-Min
6 Kågström, Bo
6 Kronbichler, Martin
6 Lu, Ding
6 Lu, Linzhang
6 Mach, Thomas
6 Pelteret, Jean-Paul
6 Quintana, María C.
6 Sakurai, Tetsuya
6 Shao, Meiyue
6 Sleijpen, Gerard L. G.
6 Turcksin, Bruno
6 Wang, Xiaolong
6 Xie, Xiang
5 Bientinesi, Paolo
5 Breiten, Tobias
5 Chen, Xiaoshan
5 Dax, Achiya
5 Demyanko, Kirill V.
5 Faßbender, Heike
5 Feng, Lihong
5 Fenu, Caterina
5 Fika, Paraskevi
5 Ghafoor, Abdul
...and 2,883 more Authors
all top 5

Cited in 263 Serials

136 Linear Algebra and its Applications
104 Journal of Computational and Applied Mathematics
96 Journal of Computational Physics
78 SIAM Journal on Scientific Computing
71 Computer Physics Communications
71 SIAM Journal on Matrix Analysis and Applications
63 Computer Methods in Applied Mechanics and Engineering
52 Numerical Algorithms
52 Numerical Linear Algebra with Applications
49 International Journal for Numerical Methods in Engineering
35 Computers & Mathematics with Applications
35 BIT
33 Applied Mathematics and Computation
28 Applied Numerical Mathematics
28 Journal of Scientific Computing
23 Numerische Mathematik
18 ACM Transactions on Mathematical Software
16 Computers and Fluids
16 Mathematics of Computation
16 Systems & Control Letters
15 International Journal of Control
15 Engineering Analysis with Boundary Elements
15 Optimization Methods & Software
15 Mathematical and Computer Modelling of Dynamical Systems
14 Automatica
14 Computational Mechanics
14 Advances in Computational Mathematics
13 Journal of Fluid Mechanics
13 Japan Journal of Industrial and Applied Mathematics
13 Computational Optimization and Applications
11 Journal of the Franklin Institute
11 Calcolo
11 Mathematics and Computers in Simulation
11 Applied Mathematical Modelling
11 Mathematical Programming. Series A. Series B
10 International Journal of Computer Mathematics
10 ETNA. Electronic Transactions on Numerical Analysis
9 Linear and Multilinear Algebra
9 SIAM Journal on Numerical Analysis
9 SIAM Journal on Optimization
8 Computational Statistics and Data Analysis
8 Multibody System Dynamics
8 Acta Numerica
7 Computing
7 Applied Mathematics Letters
7 Mathematical and Computer Modelling
7 European Journal of Operational Research
7 SIAM Review
7 Mathematical Problems in Engineering
7 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 Physica D
6 Parallel Computing
6 Archives of Computational Methods in Engineering
6 Journal of Numerical Mathematics
6 GAMM-Mitteilungen
6 Statistics and Computing
5 Journal of Optimization Theory and Applications
5 COMPEL
5 Russian Journal of Numerical Analysis and Mathematical Modelling
5 ELA. The Electronic Journal of Linear Algebra
5 European Journal of Control
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Lobachevskii Journal of Mathematics
5 Foundations of Computational Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Numerical Algebra, Control and Optimization
5 JSIAM Letters
4 Acta Mechanica
4 International Journal for Numerical Methods in Fluids
4 Journal of Mathematical Physics
4 Theoretical Computer Science
4 Annals of Operations Research
4 Machine Learning
4 Physics of Fluids
4 Computational and Applied Mathematics
4 Computing and Visualization in Science
4 Communications in Nonlinear Science and Numerical Simulation
4 Concurrency and Computation: Practice & Experience
4 Journal of Machine Learning Research (JMLR)
4 Journal of Applied Mathematics and Computing
4 International Journal of Computational Methods
4 Mathematical Programming Computation
4 Science China. Mathematics
4 East Asian Journal on Applied Mathematics
3 Classical and Quantum Gravity
3 Inverse Problems
3 Computer Aided Geometric Design
3 Numerical Methods for Partial Differential Equations
3 Journal of Global Optimization
3 Annals of Physics
3 Journal of Nonlinear Science
3 Communications in Numerical Methods in Engineering
3 Parallel Algorithms and Applications
3 International Journal of Numerical Modelling
3 European Journal of Mechanics. A. Solids
3 Computational Geosciences
3 Combustion Theory and Modelling
3 Journal of High Energy Physics
3 Multiscale Modeling & Simulation
3 Advances in Difference Equations
...and 163 more Serials
all top 5

Cited in 47 Fields

1,227 Numerical analysis (65-XX)
349 Linear and multilinear algebra; matrix theory (15-XX)
208 Systems theory; control (93-XX)
158 Fluid mechanics (76-XX)
141 Mechanics of deformable solids (74-XX)
134 Partial differential equations (35-XX)
123 Computer science (68-XX)
107 Operations research, mathematical programming (90-XX)
77 Statistics (62-XX)
73 Quantum theory (81-XX)
65 Optics, electromagnetic theory (78-XX)
65 Statistical mechanics, structure of matter (82-XX)
56 Ordinary differential equations (34-XX)
41 Mechanics of particles and systems (70-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
31 Biology and other natural sciences (92-XX)
30 Dynamical systems and ergodic theory (37-XX)
29 Approximations and expansions (41-XX)
26 Operator theory (47-XX)
25 Combinatorics (05-XX)
23 Probability theory and stochastic processes (60-XX)
21 Information and communication theory, circuits (94-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Geophysics (86-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Algebraic geometry (14-XX)
8 Integral equations (45-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Astronomy and astrophysics (85-XX)
6 Functions of a complex variable (30-XX)
6 Special functions (33-XX)
6 Relativity and gravitational theory (83-XX)
5 Difference and functional equations (39-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Field theory and polynomials (12-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Convex and discrete geometry (52-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Algebraic topology (55-XX)

Citations by Year