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Jia, Zhongxiao

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Author ID: jia.zhongxiao Recent zbMATH articles by "Jia, Zhongxiao"
Published as: Jia, Z.; Jia, Zhong Xiao; Jia, ZhongXiao; Jia, Zhongxiao
Documents Indexed: 73 Publications since 1990, including 1 Book

Publications by Year

Citations contained in zbMATH

57 Publications have been cited 463 times in 192 Documents Cited by Year
Refined iterative algorithms based on Arnoldi’s process for large unsymmetric eigenproblems. Zbl 0877.65018
Jia, Zhongxiao
58
1997
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
44
2001
The convergence of harmonic Ritz values, harmonic Ritz vectors, and refined harmonic Ritz vectors. Zbl 1072.65051
Jia, Zhongxiao
27
2005
The convergence of generalized Lanczos methods for large unsymmetric eigenproblems. Zbl 0834.65021
Jia, Zhongxiao
26
1995
An implicitly restarted refined bidiagonalization Lanczos method for computing a partial singular value decomposition. Zbl 1063.65030
Jia, Zhongxiao; Niu, Datian
23
2003
A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems. Zbl 0896.65035
Jia, Zhongxiao
20
1998
Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm. Zbl 0939.65056
Jia, Zhongxiao
19
1999
The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices. Zbl 1030.65023
Jia, Zhongxiao
16
2002
A refined harmonic Lanczos bidiagonalization method and an implicitly restarted algorithm for computing the smallest singular triplets of large matrices. Zbl 1215.65072
Jia, Zhongxiao; Niu, Datian
15
2010
A refined subspace iteration algorithm for large sparse eigenproblems. Zbl 0939.65057
Jia, Zhongxiao
15
2000
Generalized block Lanczos methods for large unsymmetric eigenproblems. Zbl 0910.65018
Jia, Zhongxiao
15
1998
Some theoretical comparisons of refined Ritz vectors and Ritz vectors. Zbl 1079.65523
Jia, Zhongxiao
12
2004
Composite orthogonal projection methods for large matrix eigenproblems. Zbl 0958.65040
Jia, Zhongxiao
12
1999
Some results on condition numbers of the scaled total least squares problem. Zbl 1228.65058
Li, Bingyu; Jia, Zhongxiao
11
2011
Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method. Zbl 1312.65054
Jia, Zhongxiao; Li, Cen
10
2014
Some numerical methods for large unsymmetric eigenproblems. Zbl 0828.65036
Jia, Zhongxiao
10
1994
On the condition number of the total least squares problem. Zbl 1287.65034
Jia, Zhongxiao; Li, Bingyu
9
2013
Some results on the regularization of LSQR for large-scale discrete ill-posed problems. Zbl 1453.65080
Huang, Yi; Jia, ZhongXiao
7
2017
Arnoldi type algorithms for large unsymmetric multiple eigenvalue problems. Zbl 0938.65070
Jia, Zhongxiao
6
1999
A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. Zbl 1320.65055
Jia, Zhongxiao; Lin, Wen-Wei; Liu, Ching-Sung
5
2015
On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems. Zbl 1292.65038
Jia, ZhongXiao
5
2013
On convergence of the inexact Rayleigh quotient iteration with MINRES. Zbl 1254.65048
Jia, Zhongxiao
5
2012
A refined shift-and-invert Arnoldi algorithm for large unsymmetric generalized eigenproblems. Zbl 1035.65036
Jia, Zhongxiao; Zhang, Yong
5
2002
Residuals of refined projection methods for large matrix eigenproblems. Zbl 0984.65036
Jia, Zhongxiao
5
2001
A block incomplete orthogonalization method for large nonsymmetric eigenproblems. Zbl 0844.65026
Jia, Zhongxiao
5
1995
Modified truncated randomized singular value decomposition (MTRSVD) algorithms for large scale discrete ill-posed problems with general-form regularization. Zbl 06897211
Jia, Zhongxiao; Yang, Yanfei
4
2018
A posteriori error estimates of Krylov subspace approximations to matrix functions. Zbl 1331.65069
Jia, Zhongxiao; Lv, Hui
4
2015
A power sparse approximate inverse preconditioning procedure for large sparse linear systems. Zbl 1224.65088
Jia, Zhongxiao; Zhu, Baochen
4
2009
Using cross-product matrices to compute the SVD. Zbl 1105.65037
Jia, Zhongxiao
4
2006
Theoretical and numerical comparisons of GMRES and WZ-GMRES. Zbl 1071.65037
Chen, Guizhi; Jia, Zhong Xiao
4
2004
An analogue of the results of Saad and Stewart for harmonic Ritz vectors. Zbl 1057.65015
Chen, Guizhi; Jia, Zhongxiao
4
2004
Improving eigenvectors in Arnoldi’s method. Zbl 0958.65039
Jia, Zhongxiao; Elsner, Ludwig
4
2000
The convergence of Krylov subspace methods for large unsymmetric linear systems. Zbl 0921.65028
Jia, Zhongxiao
4
1998
Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. Zbl 1434.65043
Jia, Zhongxiao
3
2020
Implicitly restarted generalized second-order Arnoldi type algorithms for the quadratic eigenvalue problem. Zbl 1357.65043
Jia, Zhongxiao; Sun, Yuquan
3
2015
Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. Zbl 1309.65041
Jia, Zhongxiao; Li, Cen
3
2015
An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems. Zbl 1362.65035
Jia, Zhongxiao; Zhang, Qian
3
2013
Some properties of LSQR for large sparse linear least squares problems. Zbl 1209.90285
Jia, Zhongxiao
3
2010
A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem. Zbl 1179.65039
Jia, ZhongXiao; Wang, Zhen
3
2008
A refined Jacobi-Davidson method and its correction equation. Zbl 1073.65029
Feng, Shaoqiang; Jia, Zhongxiao
3
2005
A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems. Zbl 0931.65036
Jia, Zhongxiao
3
1998
On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems. Zbl 0920.65017
Jia, Zhongxiao
3
1998
On IOM\((q)\): The incomplete orthogonalization method for large unsymmetric linear systems. Zbl 0906.65034
Jia, Z.
3
1996
On regularizing effects of MINRES and MR-II for large scale symmetric discrete ill-posed problems. Zbl 1372.65119
Huang, Yi; Jia, Zhongxiao
2
2017
Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning. Zbl 1284.65048
Jia, Zhongxiao; Zhang, Qian
2
2013
A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. Zbl 1452.65076
Jia, Zhongxiao; Yang, Yanfei
1
2020
A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. Zbl 1449.65044
Jia, Zhongxiao; Kang, Wenjie
1
2017
On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems. Zbl 1284.65053
Huang, Tsung-Ming; Jia, Zhongxiao; Lin, Wen-Wei
1
2013
SHIRRA: a refined variant of SHIRA for the skew-Hamiltonian/Hamiltonian (SHH) pencil eigenvalue problem. Zbl 1264.65053
Jia, Zhongxiao; Sun, Yuquan
1
2013
A global Arnoldi method for large non-Hermitian eigenproblems with special applications to multiple eigenproblems. Zbl 1232.65057
Duan, Congying; Jia, Zhongxiao
1
2011
Applications of the conjugate gradient method in optimal surface parameterizations. Zbl 1198.65040
Jia, Zhongxiao
1
2010
A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems. Zbl 1188.65041
Duan, Congying; Jia, Zhongxiao
1
2010
A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm. Zbl 1111.65033
Chen, Guizhi; Jia, Zhongxiao
1
2005
A refined residual iteration method. Zbl 1073.65030
Jia, Zhongxiao; Sun, Yuquan
1
2004
A reverse order implicit \(Q\)-theorem and the Arnoldi process. Zbl 1027.65041
Chen, Guizhi; Jia, Zhongxiao
1
2002
A convergence analysis of some Krylov subspace methods for large non-Hermitian linear systems. Zbl 1017.65029
Jia, Zhongxiao
1
1998
Convergence of the generalized Lanczos method for unsymmetric real matrices. Zbl 0697.65031
Jia, Zhongxiao; Xiong, Xiwen
1
1990
Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. Zbl 1434.65043
Jia, Zhongxiao
3
2020
A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. Zbl 1452.65076
Jia, Zhongxiao; Yang, Yanfei
1
2020
Modified truncated randomized singular value decomposition (MTRSVD) algorithms for large scale discrete ill-posed problems with general-form regularization. Zbl 06897211
Jia, Zhongxiao; Yang, Yanfei
4
2018
Some results on the regularization of LSQR for large-scale discrete ill-posed problems. Zbl 1453.65080
Huang, Yi; Jia, ZhongXiao
7
2017
On regularizing effects of MINRES and MR-II for large scale symmetric discrete ill-posed problems. Zbl 1372.65119
Huang, Yi; Jia, Zhongxiao
2
2017
A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. Zbl 1449.65044
Jia, Zhongxiao; Kang, Wenjie
1
2017
A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. Zbl 1320.65055
Jia, Zhongxiao; Lin, Wen-Wei; Liu, Ching-Sung
5
2015
A posteriori error estimates of Krylov subspace approximations to matrix functions. Zbl 1331.65069
Jia, Zhongxiao; Lv, Hui
4
2015
Implicitly restarted generalized second-order Arnoldi type algorithms for the quadratic eigenvalue problem. Zbl 1357.65043
Jia, Zhongxiao; Sun, Yuquan
3
2015
Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. Zbl 1309.65041
Jia, Zhongxiao; Li, Cen
3
2015
Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method. Zbl 1312.65054
Jia, Zhongxiao; Li, Cen
10
2014
On the condition number of the total least squares problem. Zbl 1287.65034
Jia, Zhongxiao; Li, Bingyu
9
2013
On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems. Zbl 1292.65038
Jia, ZhongXiao
5
2013
An approach to making SPAI and PSAI preconditioning effective for large irregular sparse linear systems. Zbl 1362.65035
Jia, Zhongxiao; Zhang, Qian
3
2013
Robust dropping criteria for F-norm minimization based sparse approximate inverse preconditioning. Zbl 1284.65048
Jia, Zhongxiao; Zhang, Qian
2
2013
On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems. Zbl 1284.65053
Huang, Tsung-Ming; Jia, Zhongxiao; Lin, Wen-Wei
1
2013
SHIRRA: a refined variant of SHIRA for the skew-Hamiltonian/Hamiltonian (SHH) pencil eigenvalue problem. Zbl 1264.65053
Jia, Zhongxiao; Sun, Yuquan
1
2013
On convergence of the inexact Rayleigh quotient iteration with MINRES. Zbl 1254.65048
Jia, Zhongxiao
5
2012
Some results on condition numbers of the scaled total least squares problem. Zbl 1228.65058
Li, Bingyu; Jia, Zhongxiao
11
2011
A global Arnoldi method for large non-Hermitian eigenproblems with special applications to multiple eigenproblems. Zbl 1232.65057
Duan, Congying; Jia, Zhongxiao
1
2011
A refined harmonic Lanczos bidiagonalization method and an implicitly restarted algorithm for computing the smallest singular triplets of large matrices. Zbl 1215.65072
Jia, Zhongxiao; Niu, Datian
15
2010
Some properties of LSQR for large sparse linear least squares problems. Zbl 1209.90285
Jia, Zhongxiao
3
2010
Applications of the conjugate gradient method in optimal surface parameterizations. Zbl 1198.65040
Jia, Zhongxiao
1
2010
A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems. Zbl 1188.65041
Duan, Congying; Jia, Zhongxiao
1
2010
A power sparse approximate inverse preconditioning procedure for large sparse linear systems. Zbl 1224.65088
Jia, Zhongxiao; Zhu, Baochen
4
2009
A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem. Zbl 1179.65039
Jia, ZhongXiao; Wang, Zhen
3
2008
Using cross-product matrices to compute the SVD. Zbl 1105.65037
Jia, Zhongxiao
4
2006
The convergence of harmonic Ritz values, harmonic Ritz vectors, and refined harmonic Ritz vectors. Zbl 1072.65051
Jia, Zhongxiao
27
2005
A refined Jacobi-Davidson method and its correction equation. Zbl 1073.65029
Feng, Shaoqiang; Jia, Zhongxiao
3
2005
A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm. Zbl 1111.65033
Chen, Guizhi; Jia, Zhongxiao
1
2005
Some theoretical comparisons of refined Ritz vectors and Ritz vectors. Zbl 1079.65523
Jia, Zhongxiao
12
2004
Theoretical and numerical comparisons of GMRES and WZ-GMRES. Zbl 1071.65037
Chen, Guizhi; Jia, Zhong Xiao
4
2004
An analogue of the results of Saad and Stewart for harmonic Ritz vectors. Zbl 1057.65015
Chen, Guizhi; Jia, Zhongxiao
4
2004
A refined residual iteration method. Zbl 1073.65030
Jia, Zhongxiao; Sun, Yuquan
1
2004
An implicitly restarted refined bidiagonalization Lanczos method for computing a partial singular value decomposition. Zbl 1063.65030
Jia, Zhongxiao; Niu, Datian
23
2003
The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices. Zbl 1030.65023
Jia, Zhongxiao
16
2002
A refined shift-and-invert Arnoldi algorithm for large unsymmetric generalized eigenproblems. Zbl 1035.65036
Jia, Zhongxiao; Zhang, Yong
5
2002
A reverse order implicit \(Q\)-theorem and the Arnoldi process. Zbl 1027.65041
Chen, Guizhi; Jia, Zhongxiao
1
2002
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
44
2001
Residuals of refined projection methods for large matrix eigenproblems. Zbl 0984.65036
Jia, Zhongxiao
5
2001
A refined subspace iteration algorithm for large sparse eigenproblems. Zbl 0939.65057
Jia, Zhongxiao
15
2000
Improving eigenvectors in Arnoldi’s method. Zbl 0958.65039
Jia, Zhongxiao; Elsner, Ludwig
4
2000
Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm. Zbl 0939.65056
Jia, Zhongxiao
19
1999
Composite orthogonal projection methods for large matrix eigenproblems. Zbl 0958.65040
Jia, Zhongxiao
12
1999
Arnoldi type algorithms for large unsymmetric multiple eigenvalue problems. Zbl 0938.65070
Jia, Zhongxiao
6
1999
A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems. Zbl 0896.65035
Jia, Zhongxiao
20
1998
Generalized block Lanczos methods for large unsymmetric eigenproblems. Zbl 0910.65018
Jia, Zhongxiao
15
1998
The convergence of Krylov subspace methods for large unsymmetric linear systems. Zbl 0921.65028
Jia, Zhongxiao
4
1998
A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems. Zbl 0931.65036
Jia, Zhongxiao
3
1998
On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems. Zbl 0920.65017
Jia, Zhongxiao
3
1998
A convergence analysis of some Krylov subspace methods for large non-Hermitian linear systems. Zbl 1017.65029
Jia, Zhongxiao
1
1998
Refined iterative algorithms based on Arnoldi’s process for large unsymmetric eigenproblems. Zbl 0877.65018
Jia, Zhongxiao
58
1997
On IOM\((q)\): The incomplete orthogonalization method for large unsymmetric linear systems. Zbl 0906.65034
Jia, Z.
3
1996
The convergence of generalized Lanczos methods for large unsymmetric eigenproblems. Zbl 0834.65021
Jia, Zhongxiao
26
1995
A block incomplete orthogonalization method for large nonsymmetric eigenproblems. Zbl 0844.65026
Jia, Zhongxiao
5
1995
Some numerical methods for large unsymmetric eigenproblems. Zbl 0828.65036
Jia, Zhongxiao
10
1994
Convergence of the generalized Lanczos method for unsymmetric real matrices. Zbl 0697.65031
Jia, Zhongxiao; Xiong, Xiwen
1
1990
all top 5

Cited by 272 Authors

39 Jia, Zhongxiao
14 Wu, Gang
10 Wei, Yimin
8 Lin, Wen-Wei
7 Reichel, Lothar
5 Hochstenbach, Michiel E.
4 Baglama, James
4 Li, Hanyu
4 Lu, Linzhang
4 Niu, Qiang
4 Wang, Shaoxin
3 Bhuruth, Muddun
3 Chen, Guizhi
3 Chen, Xiaoshan
3 Dookhitram, Kumar
3 Fan, Hung-Yuan
3 Gu, Chuanqing
3 Liu, Ching-Sung
3 Niu, Datian
3 Ravibabu, Mashetti
3 Sadok, Hassane
3 Singh, Arindama
3 Stathopoulos, Andreas
3 Stewart, Gilbert Wright
3 Vecharynski, Eugene
2 Aishima, Kensuke
2 Boojhawon, Ravindra
2 Chen, Zhibing
2 Dai, Hua
2 Dax, Achiya
2 Diao, Huaian
2 Gallopoulos, Efstratios
2 Guo, Chun-Hua
2 Huang, Tsungming
2 Huang, Weiqiang
2 Jozi, Meisam
2 Kang, Wenjie
2 Karimi, Saeed
2 King-wah Chu, Eric
2 Kürschner, Patrick
2 Li, Cen
2 Li, Rencang
2 Li, Tiexiang
2 Li, Wen
2 Meng, Lingsheng
2 Meurant, Gérard A.
2 Ng, Michael Kwok-Po
2 Román, Jose E.
2 Romero, Eloy
2 Shen, Zhaoli
2 Simoncini, Valeria
2 Sleijpen, Gerard L. G.
2 Szyld, Daniel B.
2 Tajaddini, Azita
2 Tian, Maoyi
2 Tian, Zhaolu
2 van den Eshof, Jasper
2 Vong, Seakweng
2 Wang, Xiang
2 Wen, Chun
2 Wu, Lingfei
2 Xie, Huiqing
2 Xie, Pengpeng
2 Xue, Fei
2 Yang, Hu
2 Yin, Guojian
2 Yuan, Xuegang
2 Zhang, Qian
2 Zhang, Yan
2 Zheng, Bing
1 Almuaalemi, Belal O. M.
1 An, Tianqing
1 Arbenz, Peter
1 Ardestani, Vahid E.
1 Auzinger, Winfried
1 Azizizadeh, Najmeh
1 Bai, Xianglan
1 Bai, Zhaojun
1 Bai, Zhongzhi
1 Bao, Liang
1 Bartmeyer, Petra Maria
1 Bekas, Constantine
1 Bellalij, Mohammed
1 Ben-Benjamin, Jonathan S.
1 Benner, Peter
1 Bocanegra, Silvana
1 Brandts, Jan H.
1 Campbell, Stephen LaVern
1 Campos, Carmen
1 Caruso, Noe Angelo
1 Chen, Cuiping
1 Chen, Guoliang
1 Chen, Haibo
1 Chen, Ruizhi
1 Chen, Yanmei
1 Cheng, MingHou
1 Chinellato, Oscar
1 Chu, Eric K.
1 Cohen, Leon W.
1 Cong, Yuhao
...and 172 more Authors
all top 5

Cited in 50 Serials

30 Journal of Computational and Applied Mathematics
21 Linear Algebra and its Applications
15 Numerical Algorithms
13 BIT
9 Applied Numerical Mathematics
9 SIAM Journal on Scientific Computing
8 Computers & Mathematics with Applications
7 Numerical Linear Algebra with Applications
6 Applied Mathematics and Computation
5 Numerische Mathematik
5 SIAM Journal on Matrix Analysis and Applications
5 Journal of Scientific Computing
4 Mathematics of Computation
4 Japan Journal of Industrial and Applied Mathematics
4 International Journal of Computer Mathematics
4 Science China. Mathematics
3 Calcolo
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 Computational and Applied Mathematics
2 Afrika Matematika
2 East Asian Journal on Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Journal of Computational Physics
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Bulletin of the Iranian Mathematical Society
1 Parallel Computing
1 Acta Mathematicae Applicatae Sinica. English Series
1 Asia-Pacific Journal of Operational Research
1 Applications of Mathematics
1 Automation and Remote Control
1 SIAM Journal on Mathematical Analysis
1 Acta Mathematica Sinica. New Series
1 ELA. The Electronic Journal of Linear Algebra
1 Mathematical Problems in Engineering
1 Data Mining and Knowledge Discovery
1 Journal of Systems Science and Complexity
1 Journal of Numerical Mathematics
1 Mediterranean Journal of Mathematics
1 GAMM-Mitteilungen
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Eurasian Mathematical Journal
1 ISRN Applied Mathematics
1 Journal of Applied Analysis and Computation
1 Special Matrices
1 Electronic Research Archive
1 Results in Applied Mathematics

Citations by Year