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Bai, Zhaojun

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Author ID: bai.zhaojun Recent zbMATH articles by "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

Publications by Year

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 0934.65030
Anderson, 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 0965.65058
Bai, 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 0843.65018
Anderson, 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 1012.65136
Bai, Zhaojun
90
2002
LAPACK users’ guide. Zbl 0755.65028
Anderson, E.; Bai, Z.; Bischof, C.
69
1992
SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024
Bai, Zhaojun; Su, Yangfeng
56
2005
Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058
Bai, Zhaojun; Su, Yangfeng
54
2005
A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012
Bai, Zhaojun; Skoogh, Daniel
45
2006
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
41
1996
An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021
Bai, Zhaojun; Demmel, James; Gu, Ming
36
1997
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045
Bai, Zhaojun; Day, David; Ye, Qiang
34
1999
Solving rational eigenvalue problems via linearization. Zbl 1222.65034
Su, Yangfeng; Bai, Zhaojun
27
2011
Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102
Bai, Zhaojun; Li, Ren-Cang
23
2013
Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078
Bai, Zhaojun; Li, Ren-Cang
20
2012
Computing the generalized singular value decomposition. Zbl 0789.65024
Bai, Zhaojun; Demmel, James W.
20
1993
Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035
Bai, Zhaojun; Demmel, James
19
1998
On swapping diagonal blocks in real Schur form. Zbl 0783.65030
Bai, Zhaojun; Demmel, James W.
17
1993
A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012
Bai, Zhaojun; Freund, Roland W.
16
2001
A Newton basis GMRES implementation. Zbl 0818.65022
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
15
1994
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
14
2010
Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029
Bai, Zhaojun
14
1994
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013
Bai, Zhaojun; Golub, Gene H.
13
1997
Adaptive projection subspace dimension for the thick-restart Lanczos method. Zbl 1364.65089
Yamazaki, Ichitaro; Bai, Zhaojun; Simon, Horst; Wang, Lin-Wang; Wu, Kesheng
12
2010
Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028
Li, Ren-Cang; Bai, Zhaojun
12
2005
Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013
Bai, Zhaojun; Ye, Qiang
12
1998
On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035
Bai, Zhaojun; Demmel, James
12
1989
Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102
Lu, Ding; Su, Yangfeng; Bai, Zhaojun
11
2016
Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081
Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François
11
2010
A two-directional Arnoldi process and its application to parametric model order reduction. Zbl 1160.65012
Li, Yung-Ta; Bai, Zhaojun; Su, Yangfeng
10
2009
Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093
Huang, Xin; Bai, Zhaojun; Su, Yangfeng
9
2010
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149
Meerbergen, Karl; Bai, Zhaojun
9
2010
Eigenvalue-based characterization and test for positive realness of scalar transfer functions. Zbl 0990.93044
Bai, Zhaojun; Freund, Roland W.
9
2000
Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010
Liang, Xin; Li, Ren-Cang; Bai, Zhaojun
8
2013
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
8
2005
A symmetric band Lanczos process based on coupled recurrences and some applications. Zbl 0997.65064
Bai, Zhaojun; Freund, Roland W.
8
2001
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
7
1997
A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046
Bai, Zhaojun; Zha, Hongyuan
7
1993
Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053
Bai, Zhaojun; Li, Ren-Cang
6
2014
An implementation and evaluation of the AMLS method for sparse eigenvalue problems. Zbl 1291.65121
Gao, Weiguo; Li, Xiaoye S.; Yang, Chao; Bai, Zhaojun
6
2008
The important modes of subsystems: a moment-matching approach. Zbl 1194.74119
Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo
6
2007
The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034
Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H.
6
1997
Generalized QR factorization and its applications. Zbl 0747.65022
Anderson, E.; Bai, Z.; Dongarra, J.
6
1992
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
5
2015
Reduced-order modeling. Zbl 1180.78032
Bai, Zhaojun; Dewilde, Patrick M.; Freund, Roland W.
5
2005
Progress in the numerical solution of the nonsymmetric eigenvalue problem. Zbl 0838.65033
Bai, Zhaojun
5
1995
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.
4
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
On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036
Cai, 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 1358.65021
Bai, ZhaoJun; Li, RenCang; Lin, WenWei
3
2016
Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530
Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng
3
2005
Inverse free parallel method for the numerical solution of algebraic Riccati equations. Zbl 0820.65019
Bai, Zhaojun; Qian, Qingshan
3
1994
Note on the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Zbl 0652.65028
Bai, Zhaojun
3
1988
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
2
2018
Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. Zbl 1416.65148
Bai, Zhaojun; Lu, Ding; Vandereycken, Bart
2
2018
A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057
Garrett, C. Kristopher; Bai, Zhaojun; Li, Ren-Cang
2
2016
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
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
2
2009
High-frequency response analysis via algebraic substructuring. Zbl 1195.74074
Ko, Jin Hwan; Bai, Zhaojun
2
2008
A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010
Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng
2
2008
On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044
Bai, Z.; Demmel, J.; McKenny, A.
2
1993
Stable solutions of linear systems involving long chain of matrix multiplications. Zbl 1220.65035
Bai, Zhaojun; Lee, Cherung; Li, Ren-Cang; Xu, Shufang
1
2011
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 parallel algorithm for computing the generalized singular value decomposition. Zbl 0797.65038
Bai, Zhaojun
1
1994
On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036
Cai, 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 1416.78039
Van 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 1416.65148
Bai, Zhaojun; Lu, Ding; Vandereycken, Bart
2
2018
Stability analysis of the two-level orthogonal Arnoldi procedure. Zbl 1382.65102
Lu, Ding; Su, Yangfeng; Bai, Zhaojun
11
2016
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. Zbl 1358.65021
Bai, ZhaoJun; Li, RenCang; Lin, WenWei
3
2016
A nonlinear QR algorithm for banded nonlinear eigenvalue problems. Zbl 1369.65057
Garrett, 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 1352.65120
Lu, Ding; Huang, Xin; Bai, Zhaojun; Su, Yangfeng
5
2015
Minimization principles and computation for the generalized linear response eigenvalue problem. Zbl 1293.65053
Bai, Zhaojun; Li, Ren-Cang
6
2014
Minimization principles for the linear response eigenvalue problem. II: Computation. Zbl 1311.65102
Bai, Zhaojun; Li, Ren-Cang
23
2013
Trace minimization principles for positive semi-definite pencils. Zbl 1262.15010
Liang, Xin; Li, Ren-Cang; Bai, Zhaojun
8
2013
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
4
2013
Minimization principles for the linear response eigenvalue problem I: Theory. Zbl 1263.65078
Bai, Zhaojun; Li, Ren-Cang
20
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
27
2011
Stable solutions of linear systems involving long chain of matrix multiplications. Zbl 1220.65035
Bai, Zhaojun; Lee, Cherung; Li, Ren-Cang; Xu, Shufang
1
2011
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
14
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
12
2010
Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081
Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François
11
2010
Nonlinear rank-one modifications of the symmetric eigenvalue problem. Zbl 1224.65093
Huang, Xin; Bai, Zhaojun; Su, Yangfeng
9
2010
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149
Meerbergen, Karl; Bai, Zhaojun
9
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
10
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
2
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
6
2008
High-frequency response analysis via algebraic substructuring. Zbl 1195.74074
Ko, Jin Hwan; Bai, Zhaojun
2
2008
A unified Krylov projection framework for structure-preserving model reduction. Zbl 1154.93010
Bai, Zhaojun; Li, Ren-cang; Su, Yangfeng
2
2008
The important modes of subsystems: a moment-matching approach. Zbl 1194.74119
Liao, Ben-Shan; Bai, Zhaojun; Gao, Weiguo
6
2007
A projection method for model reduction of bilinear dynamical systems. Zbl 1107.93012
Bai, Zhaojun; Skoogh, Daniel
45
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
56
2005
Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. Zbl 1078.65058
Bai, Zhaojun; Su, Yangfeng
54
2005
Structure-preserving model reduction using a Krylov subspace projection formulation. Zbl 1100.65028
Li, Ren-Cang; Bai, Zhaojun
12
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
8
2005
Reduced-order modeling. Zbl 1180.78032
Bai, Zhaojun; Dewilde, Patrick M.; Freund, Roland W.
5
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
90
2002
A partial Padé-via-Lanczos method for reduced-order modeling. Zbl 0980.93012
Bai, Zhaojun; Freund, Roland W.
16
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
Bai, 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 0990.93044
Bai, Zhaojun; Freund, Roland W.
9
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.
443
1999
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045
Bai, Zhaojun; Day, David; Ye, Qiang
34
1999
Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035
Bai, Zhaojun; Demmel, James
19
1998
Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013
Bai, Zhaojun; Ye, Qiang
12
1998
An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021
Bai, Zhaojun; Demmel, James; Gu, Ming
36
1997
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013
Bai, Zhaojun; Golub, Gene H.
13
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.
7
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.
6
1997
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
41
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.
168
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
15
1994
Error analysis of the Lanczos algorithm for the nonsymmetric eigenvalue problem. Zbl 0809.65029
Bai, Zhaojun
14
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.
20
1993
On swapping diagonal blocks in real Schur form. Zbl 0783.65030
Bai, Zhaojun; Demmel, James W.
17
1993
A new preprocessing algorithm for the computation of the generalized singular value decomposition. Zbl 0785.65046
Bai, Zhaojun; Zha, Hongyuan
7
1993
On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044
Bai, Z.; Demmel, J.; McKenny, A.
2
1993
LAPACK users’ guide. Zbl 0755.65028
Anderson, E.; Bai, Z.; Bischof, C.
69
1992
Generalized QR factorization and its applications. Zbl 0747.65022
Anderson, E.; Bai, Z.; Dongarra, J.
6
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
12
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 2,321 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)

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