Zhaojun Bai

Publication Activity (10 Years)

Years Active: 1989-2024
Publications (10 Years): 29

Top Topics

Eigenvalue Problems

Top Venues

SIAM J. Matrix Anal. Appl.

Publications

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) (2024)
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) (2024)
Nian Shao, Wenbin Chen, Zhaojun Bai
EPIC: a provable accelerated Eigensolver based on Preconditioning and Implicit Convexity. CoRR (2024)
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)
Dong Min Roh, Zhaojun Bai
A Self-Consistent Field Solution for Robust Common Spatial Pattern Analysis. CoRR (2023)
Tianyi Lu, Yangfeng Su, Zhaojun Bai
2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration. CoRR (2023)
Ji Wang, Ding Lu, Ian Davidson, Zhaojun Bai
Scalable Spectral Clustering with Group Fairness Constraints. AISTATS (2023)
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) (2022)
Tianyi Lu, Yangfeng Su, Zhaojun Bai
2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications. CoRR (2022)
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) (2022)
Ming Zhou, Zhaojun Bai, Yunfeng Cai, Klaus Neymeyr
Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation. CoRR (2022)
Ji Wang, Ding Lu, Zhaojun Bai, Ian Davidson
Scalable Spectral Clustering with Group Fairness Constraints. CoRR (2022)
Dong Min Roh, Zhaojun Bai
A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis. CoRR (2022)
Zhaojun Bai, Ding Lu
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent-Field Iteration. CoRR (2022)
Chao-Ping Lin, Ding Lu, Zhaojun Bai
Backward Stability of Explicit External Deflation for the Symmetric Eigenvalue Problem. CoRR (2021)
Zhaojun Bai, Ren-Cang Li, Ding Lu
Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems. CoRR (2020)
Li Wang, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li
Orthogonal canonical correlation analysis and applications. Optim. Methods Softw. 35 (4) (2020)
Yangfeng Su, Tianyi Lu, Zhaojun Bai
2D Eigenvalue Problems I: Existence and Number of Solutions. CoRR (2019)
Ichitaro Yamazaki, Zhaojun Bai, Ding Lu, Jack J. Dongarra
Matrix Powers Kernels for Thick-Restart Lanczos with Explicit External Deflation. IPDPS (2019)
Chao-Ping Lin, Huiqing Xie, Roger Grimes, Zhaojun Bai
On the shift-invert Lanczos method for the buckling eigenvalue problem. CoRR (2019)
Yunshen Zhou, Zhaojun Bai, Ren-Cang Li
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms. CoRR (2019)
Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li
A Self-consistent-field Iteration for Orthogonal Canonical Correlation Analysis. CoRR (2019)
Zhaojun Bai, Ding Lu, Bart Vandereycken
Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems. SIAM J. Sci. Comput. 40 (5) (2018)
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 (2018)
Yunfeng Cai, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li
On an Eigenvector-Dependent Nonlinear Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Chengming Jiang, Huiqing Xie, Zhaojun Bai
Robust and Efficient Computation of Eigenvectors in a Generalized Spectral Method for Constrained Clustering. AISTATS (2017)
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)
Ding Lu, Yangfeng Su, Zhaojun Bai
Stability Analysis of the Two-level Orthogonal Arnoldi Procedure. SIAM J. Matrix Anal. Appl. 37 (1) (2016)
C. Kristopher Garrett, Zhaojun Bai, Ren-Cang Li
A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems. ACM Trans. Math. Softw. 43 (1) (2016)
Zhoulai Fu, Zhaojun Bai, Zhendong Su
Automated backward error analysis for numerical code. OOPSLA (2015)
Sergiy Gogolenko, Zhaojun Bai, Richard Scalettar
Structured Orthogonal Inversion of Block p-Cyclic Matrices on Multicores with GPU Accelerators. Euro-Par (2014)
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 (2013)
Zhaojun Bai, Ren-Cang Li
Minimization Principles for the Linear Response Eigenvalue Problem II: Computation. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
Andrés Tomás, Chia-Chen Chang, Richard Scalettar, Zhaojun Bai
Advancing Large Scale Many-Body QMC Simulations on GPU Accelerated Multicore Systems. IPDPS (2012)
Zhaojun Bai, Ren-Cang Li
Minimization Principles for the Linear Response Eigenvalue Problem I: Theory. SIAM J. Matrix Anal. Appl. 33 (4) (2012)
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)
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)
Yangfeng Su, Zhaojun Bai
Solving Rational Eigenvalue Problems via Linearization. SIAM J. Matrix Anal. Appl. 32 (1) (2011)
Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, Bernd Hamann
Segmenting point-sampled surfaces. Vis. Comput. 26 (12) (2010)
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) (2010)
Yuji Nakatsukasa, Zhaojun Bai, François Gygi
Optimizing Halley's Iteration for Computing the Matrix Polar Decomposition. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Karl Meerbergen, Zhaojun Bai
The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides. SIAM J. Matrix Anal. Appl. 31 (4) (2010)
Che-Rung Lee, I-Hsin Chung, Zhaojun Bai
Parallelization of DQMC simulation for strongly correlated electron systems. IPDPS (2010)
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) (2008)
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) (2008)
Sourav Chatterji, Ichitaro Yamazaki, Zhaojun Bai, Jonathan A. Eisen
CompostBin: A DNA Composition-Based Algorithm for Binning Environmental Shotgun Reads. RECOMB (2008)
Jin Hwan Ko, Zhaojun Bai
An Algebraic Substructuring Method for High-Frequency Response Analysis of Micro-systems. International Conference on Computational Science (1) (2007)
Yung-Ta Li, Zhaojun Bai, Yangfeng Su, Xuan Zeng
Parameterized model order reduction via a two-directional Arnoldi process. ICCAD (2007)
Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, Bernd Hamann
Segmenting Point Sets. SMI (2006)
Bin Wang, Yangfeng Su, Zhaojun Bai
The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. Appl. Math. Comput. 172 (2) (2006)
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) (2005)
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) (2005)
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) (2005)
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)
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)
Ren-Cang Li, Zhaojun Bai
Structure-Preserving Model Reduction. PARA (2004)
David Bindel, Zhaojun Bai, James Demmel
Model Reduction for RF MEMS Simulation. PARA (2004)
Zhaojun Bai, Ren-Cang Li
Substructuring, Dimension Reduction and Applications: An Introduction. PARA (2004)
Zhaojun Bai, Ben-Shan Liao
Towards an Optimal Substructuring Method for Model Reduction. PARA (2004)
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)
Jiann-Liang Chen, Zhaojun Bai, Bernd Hamann, Terry J. Ligocki
Normalized-cut algorithm for hierarchical vector field data segmentation. Visualization and Data Analysis (2003)
Zhaojun Bai, Roland W. Freund
A Symmetric Band Lanczos Process Based on Coupled Recurrences and Some Applications. SIAM J. Sci. Comput. 23 (2) (2001)
Zhaojun Bai, Roland W. Freund
Eigenvalue-based characterization and test for positive realness of scalar transfer functions. IEEE Trans. Autom. Control. 45 (12) (2000)
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) (1999)
Zhaojun Bai, David Day, Qiang Ye
ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 20 (4) (1999)
Zhaojun Bai, James Demmel
Using the Matrix Sign Function to Compute Invariant Subspaces. SIAM J. Matrix Anal. Appl. 19 (1) (1998)
Zhaojun Bai, Peter Feldmann, Roland W. Freund
How to make theoretically passive reduced-order models passive in practice. CICC (1998)
Zhaojun Bai, Gene H. Golub
Some Unusual Eigenvalue Problems. VECPAR (1998)
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) (1997)
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) (1997)
Zhaojun Bai
Progress in the numerical solution of the nonsymmetric eigenvalue problem. Numer. Linear Algebra Appl. 2 (3) (1995)
Zhaojun Bai
A Parallel Algorithm for Computing the Generalized Singular Value Decomposition. J. Parallel Distributed Comput. 20 (3) (1994)
Zhaojun Bai, James Demmel, A. McKenney
On computing condition numbers for the nonsymmetric eigenproblem. ACM Trans. Math. Softw. 19 (2) (1993)
Zhaojun Bai, Hongyuan Zha
A New Preprocessing Algorithm for the Computation of the Generalized Singular Value Decomposition. SIAM J. Sci. Comput. 14 (4) (1993)
Zhaojun Bai, James Demmel
Design of a Parallel Nonsymmetric Eigenroutine Toolbox, Part I. PPSC (1993)
Zhaojun Bai, James Weldon Demmel
Computing the Generalized Singular Value Decomposition. SIAM J. Sci. Comput. 14 (6) (1993)
Zhaojun Bai, Dan Hu, Lothar Reichel
An Implementation of the GMRES Method Using QR Factorization. PPSC (1991)
Ed 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)
Zhaojun Bai, James Demmel
On a Block Implementation of Hessenberg Multishift QR Iteration. Int. J. High Speed Comput. 1 (1) (1989)