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2020 – today
- 2024
[j38]Zhaojun Bai, Ding Lu
:
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration. SIAM J. Matrix Anal. Appl. 45(1): 84-111 (2024)- [j37]Tianyi Lu, Yangfeng Su, Zhaojun Bai:
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications. SIAM J. Matrix Anal. Appl. 45(3): 1455-1486 (2024) - [i14]Nian Shao, Wenbin Chen, Zhaojun Bai:
EPIC: a provable accelerated Eigensolver based on Preconditioning and Implicit Convexity. CoRR abs/2401.11786 (2024) - 2023
- [j36]Ming Zhou, Zhaojun Bai, Yunfeng Cai, Klaus Neymeyr:
Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation. Numer. Linear Algebra Appl. 30(5) (2023) - [c27]Ji Wang, Ding Lu, Ian Davidson, Zhaojun Bai:
Scalable Spectral Clustering with Group Fairness Constraints. AISTATS 2023: 6613-6629 - [i13]Tianyi Lu, Yangfeng Su, Zhaojun Bai:
2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration. CoRR abs/2303.05357 (2023) - [i12]Dong Min Roh, Zhaojun Bai:
A Self-Consistent Field Solution for Robust Common Spatial Pattern Analysis. CoRR abs/2311.13004 (2023) - 2022
- [j35]Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li:
A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis. IEEE Trans. Pattern Anal. Mach. Intell. 44(2): 890-904 (2022) - [j34]Zhaojun Bai, Ren-Cang Li, Ding Lu:
Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 43(1): 301-327 (2022) - [i11]Ming Zhou, Zhaojun Bai, Yunfeng Cai, Klaus Neymeyr:
Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation. CoRR abs/2209.03407 (2022) - [i10]Tianyi Lu, Yangfeng Su, Zhaojun Bai:
2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications. CoRR abs/2209.12040 (2022) - [i9]Ji Wang, Ding Lu, Zhaojun Bai, Ian Davidson:
Scalable Spectral Clustering with Group Fairness Constraints. CoRR abs/2210.16435 (2022) - [i8]Zhaojun Bai, Ding Lu:
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent-Field Iteration. CoRR abs/2211.05179 (2022) - [i7]Dong Min Roh, Zhaojun Bai:
A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis. CoRR abs/2211.11891 (2022) - 2021
- [i6]Chao-Ping Lin, Ding Lu, Zhaojun Bai:
Backward Stability of Explicit External Deflation for the Symmetric Eigenvalue Problem. CoRR abs/2105.01298 (2021) - 2020
- [j33]Li Wang, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li:
Orthogonal canonical correlation analysis and applications. Optim. Methods Softw. 35(4): 787-807 (2020) - [i5]Zhaojun Bai, Ren-Cang Li, Ding Lu:
Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems. CoRR abs/2009.09022 (2020)
2010 – 2019
- 2019
- [c26]Ichitaro Yamazaki, Zhaojun Bai, Ding Lu, Jack J. Dongarra:
Matrix Powers Kernels for Thick-Restart Lanczos with Explicit External Deflation. IPDPS 2019: 472-481 - [i4]Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li:
A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis. CoRR abs/1909.11527 (2019) - [i3]Chao-Ping Lin, Huiqing Xie, Roger Grimes, Zhaojun Bai:
On the shift-invert Lanczos method for the buckling eigenvalue problem. CoRR abs/1910.08652 (2019) - [i2]Yunshen Zhou, Zhaojun Bai, Ren-Cang Li:
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms. CoRR abs/1911.02770 (2019) - [i1]Yangfeng Su, Tianyi Lu, Zhaojun Bai:
2D Eigenvalue Problems I: Existence and Number of Solutions. CoRR abs/1911.08109 (2019) - 2018
- [j32]Roel Van Beeumen, Osni Marques, Esmond G. Ng, Chao Yang, Zhaojun Bai, Lixin Ge, Oleksiy Kononenko, Zenghai Li, Cho-Kuen Ng, Liling Xiao:
Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. J. Comput. Phys. 374: 1031-1043 (2018) - [j31]Yunfeng Cai, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li:
On an Eigenvector-Dependent Nonlinear Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 39(3): 1360-1382 (2018) - [j30]Zhaojun Bai, Ding Lu, Bart Vandereycken:
Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems. SIAM J. Sci. Comput. 40(5): A3495-A3522 (2018) - 2017
- [c25]Chengming Jiang, Huiqing Xie, Zhaojun Bai:
Robust and Efficient Computation of Eigenvectors in a Generalized Spectral Method for Constrained Clustering. AISTATS 2017: 757-766 - 2016
- [j29]Ding Lu, Yangfeng Su, Zhaojun Bai:
Stability Analysis of the Two-level Orthogonal Arnoldi Procedure. SIAM J. Matrix Anal. Appl. 37(1): 195-214 (2016) - [j28]C. Kristopher Garrett, Zhaojun Bai, Ren-Cang Li:
A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems. ACM Trans. Math. Softw. 43(1): 4:1-4:19 (2016) - [c24]Chengming Jiang, Zhaojun Bai, Richard Scalettar:
A Fast Selected Inversion Algorithm for Green's Function Calculation in Many-Body Quantum Monte Carlo Simulations. IPDPS 2016: 463-472 - 2015
- [c23]Zhoulai Fu, Zhaojun Bai, Zhendong Su:
Automated backward error analysis for numerical code. OOPSLA 2015: 639-654 - 2014
- [c22]Sergiy Gogolenko, Zhaojun Bai, Richard Scalettar:
Structured Orthogonal Inversion of Block p-Cyclic Matrices on Multicores with GPU Accelerators. Euro-Par 2014: 524-535 - 2013
- [j27]Yunfeng Cai, Zhaojun Bai, John E. Pask, N. Sukumar:
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. J. Comput. Phys. 255: 16-30 (2013) - [j26]Zhaojun Bai, Ren-Cang Li:
Minimization Principles for the Linear Response Eigenvalue Problem II: Computation. SIAM J. Matrix Anal. Appl. 34(2): 392-416 (2013) - 2012
- [j25]Zhaojun Bai, Ren-Cang Li:
Minimization Principles for the Linear Response Eigenvalue Problem I: Theory. SIAM J. Matrix Anal. Appl. 33(4): 1075-1100 (2012) - [c21]Andrés Tomás, Chia-Chen Chang, Richard Scalettar, Zhaojun Bai:
Advancing Large Scale Many-Body QMC Simulations on GPU Accelerated Multicore Systems. IPDPS 2012: 308-319 - [c20]Andrés Tomás, Zhaojun Bai, Vicente Hernández:
Parallelization of the QR Decomposition with Column Pivoting Using Column Cyclic Distribution on Multicore and GPU Processors. VECPAR 2012: 50-58 - 2011
- [j24]Yangfeng Su, Zhaojun Bai:
Solving Rational Eigenvalue Problems via Linearization. SIAM J. Matrix Anal. Appl. 32(1): 201-216 (2011) - [c19]Che-Rung Lee, Zhaojun Bai:
Redesign of Higher-Level Matrix Algorithms for Multicore and Distributed Architectures and Applications in Quantum Monte Carlo Simulation. IPDPS 2011: 266-274 - 2010
- [j23]Karl Meerbergen, Zhaojun Bai:
The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides. SIAM J. Matrix Anal. Appl. 31(4): 1642-1662 (2010) - [j22]Yuji Nakatsukasa, Zhaojun Bai, François Gygi:
Optimizing Halley's Iteration for Computing the Matrix Polar Decomposition. SIAM J. Matrix Anal. Appl. 31(5): 2700-2720 (2010) - [j21]Ichitaro Yamazaki, Zhaojun Bai, Horst D. Simon, Lin-Wang Wang, Kesheng Wu:
Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method. ACM Trans. Math. Softw. 37(3): 27:1-27:18 (2010) - [j20]Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, Bernd Hamann:
Segmenting point-sampled surfaces. Vis. Comput. 26(12): 1421-1433 (2010) - [c18]Che-Rung Lee, I-Hsin Chung, Zhaojun Bai:
Parallelization of DQMC simulation for strongly correlated electron systems. IPDPS 2010: 1-9
2000 – 2009
- 2008
- [j19]Yung-Ta Li, Zhaojun Bai, Yangfeng Su, Xuan Zeng:
Model Order Reduction of Parameterized Interconnect Networks via a Two-Directional Arnoldi Process. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(9): 1571-1582 (2008) - [j18]Weiguo Gao, Xiaoye S. Li, Chao Yang, Zhaojun Bai:
An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems. ACM Trans. Math. Softw. 34(4): 20:1-20:28 (2008) - [c17]Sourav Chatterji, Ichitaro Yamazaki, Zhaojun Bai, Jonathan A. Eisen:
CompostBin: A DNA Composition-Based Algorithm for Binning Environmental Shotgun Reads. RECOMB 2008: 17-28 - 2007
- [c16]Jin Hwan Ko, Zhaojun Bai:
An Algebraic Substructuring Method for High-Frequency Response Analysis of Micro-systems. International Conference on Computational Science (1) 2007: 521-528 - [c15]Yung-Ta Li, Zhaojun Bai, Yangfeng Su, Xuan Zeng:
Parameterized model order reduction via a two-directional Arnoldi process. ICCAD 2007: 868-873 - 2006
- [j17]Bin Wang, Yangfeng Su, Zhaojun Bai:
The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. Appl. Math. Comput. 172(2): 788-796 (2006) - [c14]Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, Bernd Hamann:
Segmenting Point Sets. SMI 2006: 6 - 2005
- [j16]Zhaojun Bai, Yangfeng Su:
SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 26(3): 640-659 (2005) - [j15]Zhaojun Bai, Yangfeng Su:
Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method. SIAM J. Sci. Comput. 26(5): 1692-1709 (2005) - [j14]Chao Yang, Weiguo Gao, Zhaojun Bai, Xiaoye S. Li, Lie-Quan Lee, Parry Husbands, Esmond G. Ng:
An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation. SIAM J. Sci. Comput. 27(3): 873-892 (2005) - [c13]Bang Liu, Xuan Zeng, Yangfeng Su, Jun Tao, Zhaojun Bai, Charles C. Chiang, Dian Zhou:
Block SAPOR: block Second-order Arnoldi method for Passive Order Reduction of multi-input multi-output RCS interconnect circuits. ASP-DAC 2005: 244-249 - 2004
- [c12]Yangfeng Su, Jian Wang, Xuan Zeng, Zhaojun Bai, Charles C. Chiang, Dian Zhou:
SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits. ICCAD 2004: 74-79 - [c11]Zhaojun Bai, Ren-Cang Li:
Substructuring, Dimension Reduction and Applications: An Introduction. PARA 2004: 266-266 - [c10]Zhaojun Bai, Ben-Shan Liao:
Towards an Optimal Substructuring Method for Model Reduction. PARA 2004: 276-285 - [c9]David Bindel, Zhaojun Bai, James Demmel:
Model Reduction for RF MEMS Simulation. PARA 2004: 286-295 - [c8]Ren-Cang Li, Zhaojun Bai:
Structure-Preserving Model Reduction. PARA 2004: 323-332 - [c7]Chao Yang, Weiguo Gao, Zhaojun Bai, Xiaoye S. Li, Lie-Quan Lee, Parry Husbands, Esmond G. Ng:
Algebraic Sub-structuring for Electromagnetic Applications. PARA 2004: 364-373 - 2003
- [c6]Jiann-Liang Chen, Zhaojun Bai, Bernd Hamann, Terry J. Ligocki:
Normalized-cut algorithm for hierarchical vector field data segmentation. Visualization and Data Analysis 2003: 79-90 - 2001
- [j13]Zhaojun Bai, Roland W. Freund:
A Symmetric Band Lanczos Process Based on Coupled Recurrences and Some Applications. SIAM J. Sci. Comput. 23(2): 542-562 (2001) - 2000
- [j12]Zhaojun Bai, Roland W. Freund:
Eigenvalue-based characterization and test for positive realness of scalar transfer functions. IEEE Trans. Autom. Control. 45(12): 2396-2402 (2000) - [p6]Ming Gu, Axel Ruhe, Richard B. Lehoucq, Danny C. Sorensen, Roland W. Freund, Gerard L. G. Sleijpen, Henk A. van der Vorst, Zhaojun Bai, Ruipeng Li:
Hermitian Eigenvalue Problems. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 45-107 - [p5]Ming Gu, Axel Ruhe, Gerard L. G. Sleijpen, Henk A. van der Vorst, Zhaojun Bai, Ruipeng Li:
Generalized Hermitian Eigenvalue Problems. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 109-133 - [p4]T. Chen, James Demmel, Ming Gu, Yousef Saad, Richard B. Lehoucq, Danny C. Sorensen, Kristyn J. Maschhoff, Zhaojun Bai, David Day, Roland W. Freund, Gerard L. G. Sleijpen, Henk A. van der Vorst, Ruipeng Li:
Non-Hermitian Eigenvalue Problems. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 149-231 - [p3]Gerard L. G. Sleijpen, Henk A. van der Vorst, Axel Ruhe, Zhaojun Bai, T. Ericsson, T. Kowalski, Bo Kågström, Ruipeng Li:
Generalized Non-Hermitian Eigenvalue Problems. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 233-279 - [p2]Zhaojun Bai, Gerard L. G. Sleijpen, Henk A. van der Vorst, R. Lippert, A. Edelman:
Nonlinear Eigenvalue Problems. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 281-314 - [e1]Zhaojun Bai, James Demmel, Jack J. Dongarra, Axel Ruhe, Henk A. van der Vorst:
Templates for the Solution of Algebraic Eigenvalue Problems. Software, environments, tools 11, SIAM 2000, ISBN 978-0-89871-471-5 [contents]
1990 – 1999
- 1999
- [b1]Edward C. Anderson, Zhaojun Bai, Christian H. Bischof, L. Susan Blackford, James Demmel, Jack J. Dongarra, Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, A. McKenney, Danny C. Sorensen:
LAPACK Users' Guide, Third Edition. Software, Environments and Tools, SIAM 1999, ISBN 978-0-89871-447-0, pp. 1-404 - [j11]Zhaojun Bai, David Day, Qiang Ye:
ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 20(4): 1060-1082 (1999) - [j10]Zhaojun Bai, Rodney D. Slone, William T. Smith, Qiang Ye:
Error bound for reduced system model by Pade approximation via the Lanczos process. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 18(2): 133-141 (1999) - 1998
- [j9]Zhaojun Bai, James Demmel:
Using the Matrix Sign Function to Compute Invariant Subspaces. SIAM J. Matrix Anal. Appl. 19(1): 205-225 (1998) - [c5]Zhaojun Bai, Peter Feldmann, Roland W. Freund:
How to make theoretically passive reduced-order models passive in practice. CICC 1998: 207-210 - [c4]Zhaojun Bai, Gene H. Golub:
Some Unusual Eigenvalue Problems. VECPAR 1998: 4-19 - 1997
- [j8]Zhaojun Bai, James Demmel, Jack J. Dongarra, Antoine Petitet, Howard Robinson, Ken Stanley:
The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers. SIAM J. Sci. Comput. 18(5): 1446-1461 (1997) - [j7]Zhaojun Bai, G. W. Stewart:
Algorithm 776: SRRIT: A Fortran Subroutine to Calculate the Dominant Invariant Subspace of N nonsymmetric Matrix. ACM Trans. Math. Softw. 23(4): 494-513 (1997) - 1995
- [j6]Zhaojun Bai:
Progress in the numerical solution of the nonsymmetric eigenvalue problem. Numer. Linear Algebra Appl. 2(3): 219-234 (1995) - [p1]Zhaojun Bai, David Day, James Demmel, Jack J. Dongarra, Ming Gu, Axel Ruhe, Henk A. van der Vorst:
Templates for Linear Algebra Problems. Computer Science Today 1995: 115-140 - 1994
- [j5]Zhaojun Bai:
A Parallel Algorithm for Computing the Generalized Singular Value Decomposition. J. Parallel Distributed Comput. 20(3): 280-288 (1994) - 1993
- [j4]Zhaojun Bai, Hongyuan Zha:
A New Preprocessing Algorithm for the Computation of the Generalized Singular Value Decomposition. SIAM J. Sci. Comput. 14(4): 1007-1012 (1993) - [j3]Zhaojun Bai, James Weldon Demmel:
Computing the Generalized Singular Value Decomposition. SIAM J. Sci. Comput. 14(6): 1464-1486 (1993) - [j2]Zhaojun Bai, James Demmel, A. McKenney:
On computing condition numbers for the nonsymmetric eigenproblem. ACM Trans. Math. Softw. 19(2): 202-223 (1993) - [c3]Zhaojun Bai, James Demmel:
Design of a Parallel Nonsymmetric Eigenroutine Toolbox, Part I. PPSC 1993: 391-398 - 1991
- [c2]Zhaojun Bai, Dan Hu, Lothar Reichel:
An Implementation of the GMRES Method Using QR Factorization. PP 1991: 84-91 - 1990
- [c1]Edward C. Anderson, Zhaojun Bai, Jack J. Dongarra, Anne Greenbaum, A. McKenney, Jeremy Du Croz, Sven Hammarling, James Demmel, Christian H. Bischof, Danny C. Sorensen:
LAPACK: a portable linear algebra library for high-performance computers. SC 1990: 2-11
1980 – 1989
- 1989
- [j1]Zhaojun Bai, James Demmel:
On a Block Implementation of Hessenberg Multishift QR Iteration. Int. J. High Speed Comput. 1(1): 97-112 (1989)
Coauthor Index
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