Zhaojun Bai

According to our database, Zhaojun Bai authored at least 82 papers between 1989 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration.

Zhaojun Bai, Ding Lu

SIAM J. Matrix Anal. Appl., March, 2024

Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications.

Tianyi Lu, Yangfeng Su, Zhaojun Bai

SIAM J. Matrix Anal. Appl., 2024

EPIC: a provable accelerated Eigensolver based on Preconditioning and Implicit Convexity.

Nian Shao, Wenbin Chen, Zhaojun Bai

CoRR, 2024

2023

Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation.

Ming Zhou, Zhaojun Bai, Yunfeng Cai, Klaus Neymeyr

Numer. Linear Algebra Appl., October, 2023

A Self-Consistent Field Solution for Robust Common Spatial Pattern Analysis.

Dong Min Roh, Zhaojun Bai

CoRR, 2023

2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration.

Tianyi Lu, Yangfeng Su, Zhaojun Bai

CoRR, 2023

Scalable Spectral Clustering with Group Fairness Constraints.

Ji Wang, Ding Lu, Ian Davidson, Zhaojun Bai

Proceedings of the International Conference on Artificial Intelligence and Statistics, 2023

2022

Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems.

Zhaojun Bai, Ren-Cang Li, Ding Lu

SIAM J. Matrix Anal. Appl., 2022

A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis.

Lei-Hong Zhang, Li Wang, Zhaojun Bai, Ren-Cang Li

IEEE Trans. Pattern Anal. Mach. Intell., 2022

A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis.

Dong Min Roh, Zhaojun Bai

CoRR, 2022

2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications.

Tianyi Lu, Yangfeng Su, Zhaojun Bai

CoRR, 2022

2021

Backward Stability of Explicit External Deflation for the Symmetric Eigenvalue Problem.

Chao-Ping Lin, Ding Lu, Zhaojun Bai

CoRR, 2021

2020

Orthogonal canonical correlation analysis and applications.

Li Wang, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li

Optim. Methods Softw., 2020

Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems.

Zhaojun Bai, Ren-Cang Li, Ding Lu

CoRR, 2020

2019

2D Eigenvalue Problems I: Existence and Number of Solutions.

Yangfeng Su, Tianyi Lu, Zhaojun Bai

CoRR, 2019

Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms.

Yunshen Zhou, Zhaojun Bai, Ren-Cang Li

CoRR, 2019

On the shift-invert Lanczos method for the buckling eigenvalue problem.

Chao-Ping Lin, Huiqing Xie, Roger Grimes, Zhaojun Bai

CoRR, 2019

Matrix Powers Kernels for Thick-Restart Lanczos with Explicit External Deflation.

Ichitaro Yamazaki, Zhaojun Bai, Ding Lu, Jack J. Dongarra

Proceedings of the 2019 IEEE International Parallel and Distributed Processing Symposium, 2019

2018

Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems.

Zhaojun Bai, Ding Lu, Bart Vandereycken

SIAM J. Sci. Comput., 2018

On an Eigenvector-Dependent Nonlinear Eigenvalue Problem.

Yunfeng Cai, Lei-Hong Zhang, Zhaojun Bai, Ren-Cang Li

SIAM J. Matrix Anal. Appl., 2018

Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation.

Roel Van Beeumen, Osni Marques, Esmond G. Ng, Chao Yang, Zhaojun Bai, Lixin Ge, Oleksiy Kononenko, Zenghai Li, Cho-Kuen Ng, Liling Xiao

J. Comput. Phys., 2018

2017

Robust and Efficient Computation of Eigenvectors in a Generalized Spectral Method for Constrained Clustering.

Chengming Jiang, Huiqing Xie, Zhaojun Bai

Proceedings of the 20th International Conference on Artificial Intelligence and Statistics, 2017

2016

A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems.

C. Kristopher Garrett, Zhaojun Bai, Ren-Cang Li

ACM Trans. Math. Softw., 2016

Stability Analysis of the Two-level Orthogonal Arnoldi Procedure.

Ding Lu, Yangfeng Su, Zhaojun Bai

SIAM J. Matrix Anal. Appl., 2016

A Fast Selected Inversion Algorithm for Green's Function Calculation in Many-Body Quantum Monte Carlo Simulations.

Chengming Jiang, Zhaojun Bai, Richard Scalettar

Proceedings of the 2016 IEEE International Parallel and Distributed Processing Symposium, 2016

2015

Automated backward error analysis for numerical code.

Zhoulai Fu, Zhaojun Bai, Zhendong Su

Proceedings of the 2015 ACM SIGPLAN International Conference on Object-Oriented Programming, 2015

2014

Structured Orthogonal Inversion of Block p-Cyclic Matrices on Multicores with GPU Accelerators.

Sergiy Gogolenko, Zhaojun Bai, Richard Scalettar

Proceedings of the Euro-Par 2014 Parallel Processing, 2014

2013

Minimization Principles for the Linear Response Eigenvalue Problem II: Computation.

Zhaojun Bai, Ren-Cang Li

SIAM J. Matrix Anal. Appl., 2013

Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations.

Yunfeng Cai, Zhaojun Bai, John E. Pask, N. Sukumar

J. Comput. Phys., 2013

2012

Minimization Principles for the Linear Response Eigenvalue Problem I: Theory.

Zhaojun Bai, Ren-Cang Li

SIAM J. Matrix Anal. Appl., 2012

Parallelization of the QR Decomposition with Column Pivoting Using Column Cyclic Distribution on Multicore and GPU Processors.

Andrés Tomás, Zhaojun Bai, Vicente Hernández

Proceedings of the High Performance Computing for Computational Science, 2012

Advancing Large Scale Many-Body QMC Simulations on GPU Accelerated Multicore Systems.

Andrés Tomás, Chia-Chen Chang, Richard Scalettar, Zhaojun Bai

Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium, 2012

2011

Solving Rational Eigenvalue Problems via Linearization.

Yangfeng Su, Zhaojun Bai

SIAM J. Matrix Anal. Appl., 2011

Redesign of Higher-Level Matrix Algorithms for Multicore and Distributed Architectures and Applications in Quantum Monte Carlo Simulation.

Che-Rung Lee, Zhaojun Bai

Proceedings of the 25th IEEE International Symposium on Parallel and Distributed Processing, 2011

2010

Segmenting point-sampled surfaces.

Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, Bernd Hamann

Vis. Comput., 2010

Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method.

Ichitaro Yamazaki, Zhaojun Bai, Horst D. Simon, Lin-Wang Wang, Kesheng Wu

ACM Trans. Math. Softw., 2010

Optimizing Halley's Iteration for Computing the Matrix Polar Decomposition.

Yuji Nakatsukasa, Zhaojun Bai, François Gygi

SIAM J. Matrix Anal. Appl., 2010

The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides.

Karl Meerbergen, Zhaojun Bai

SIAM J. Matrix Anal. Appl., 2010

Parallelization of DQMC simulation for strongly correlated electron systems.

Che-Rung Lee, I-Hsin Chung, Zhaojun Bai

Proceedings of the 24th IEEE International Symposium on Parallel and Distributed Processing, 2010

2008

An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems.

Weiguo Gao, Xiaoye S. Li, Chao Yang, Zhaojun Bai

ACM Trans. Math. Softw., 2008

Model Order Reduction of Parameterized Interconnect Networks via a Two-Directional Arnoldi Process.

Yung-Ta Li, Zhaojun Bai, Yangfeng Su, Xuan Zeng

IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2008

CompostBin: A DNA Composition-Based Algorithm for Binning Environmental Shotgun Reads.

Sourav Chatterji, Ichitaro Yamazaki, Zhaojun Bai, Jonathan A. Eisen

Proceedings of the Research in Computational Molecular Biology, 2008

2007

Parameterized model order reduction via a two-directional Arnoldi process.

Yung-Ta Li, Zhaojun Bai, Yangfeng Su, Xuan Zeng

Proceedings of the 2007 International Conference on Computer-Aided Design, 2007

An Algebraic Substructuring Method for High-Frequency Response Analysis of Micro-systems.

Jin Hwan Ko, Zhaojun Bai

Proceedings of the Computational Science, 2007

2006

The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems.

Bin Wang, Yangfeng Su, Zhaojun Bai

Appl. Math. Comput., 2006

Segmenting Point Sets.

Ichitaro Yamazaki, Vijay Natarajan, Zhaojun Bai, Bernd Hamann

Proceedings of the 2006 International Conference on Shape Modeling and Applications (SMI 2006), 2006

2005

An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation.

Chao Yang, Weiguo Gao, Zhaojun Bai, Xiaoye S. Li, Lie-Quan Lee, Parry Husbands, Esmond G. Ng

SIAM J. Sci. Comput., 2005

Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method.

Zhaojun Bai, Yangfeng Su

SIAM J. Sci. Comput., 2005

SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem.

Zhaojun Bai, Yangfeng Su

SIAM J. Matrix Anal. Appl., 2005

Block SAPOR: block Second-order Arnoldi method for Passive Order Reduction of multi-input multi-output RCS interconnect circuits.

Bang Liu, Xuan Zeng, Yangfeng Su, Jun Tao, Zhaojun Bai, Charles C. Chiang, Dian Zhou

Proceedings of the 2005 Conference on Asia South Pacific Design Automation, 2005

2004

Algebraic Sub-structuring for Electromagnetic Applications.

Chao Yang, Weiguo Gao, Zhaojun Bai, Xiaoye S. Li, Lie-Quan Lee, Parry Husbands, Esmond G. Ng

Proceedings of the Applied Parallel Computing, 2004

Structure-Preserving Model Reduction.

Ren-Cang Li, Zhaojun Bai

Proceedings of the Applied Parallel Computing, 2004

Model Reduction for RF MEMS Simulation.

David Bindel, Zhaojun Bai, James Demmel

Proceedings of the Applied Parallel Computing, 2004

Towards an Optimal Substructuring Method for Model Reduction.

Zhaojun Bai, Ben-Shan Liao

Proceedings of the Applied Parallel Computing, 2004

Substructuring, Dimension Reduction and Applications: An Introduction.

Zhaojun Bai, Ren-Cang Li

Proceedings of the Applied Parallel Computing, 2004

SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits.

Yangfeng Su, Jian Wang, Xuan Zeng, Zhaojun Bai, Charles C. Chiang, Dian Zhou

Proceedings of the 2004 International Conference on Computer-Aided Design, 2004

2003

Normalized-cut algorithm for hierarchical vector field data segmentation.

Jiann-Liang Chen, Zhaojun Bai, Bernd Hamann, Terry J. Ligocki

Proceedings of the Visualization and Data Analysis 2003, 2003

2001

A Symmetric Band Lanczos Process Based on Coupled Recurrences and Some Applications.

Zhaojun Bai, Roland W. Freund

SIAM J. Sci. Comput., 2001

2000

Eigenvalue-based characterization and test for positive realness of scalar transfer functions.

Zhaojun Bai, Roland W. Freund

IEEE Trans. Autom. Control., 2000

Generalized Non-Hermitian Eigenvalue Problems.

Gerard L. G. Sleijpen, Henk A. van der Vorst, Axel Ruhe, Zhaojun Bai, T. Ericsson, T. Kowalski, Bo Kågström, Ruipeng Li

Proceedings of the Templates for the Solution of Algebraic Eigenvalue Problems, 2000

Generalized Hermitian Eigenvalue Problems.

Ming Gu, Axel Ruhe, Gerard L. G. Sleijpen, Henk A. van der Vorst, Zhaojun Bai, Ruipeng Li

Proceedings of the Templates for the Solution of Algebraic Eigenvalue Problems, 2000

Hermitian Eigenvalue Problems.

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

Proceedings of the Templates for the Solution of Algebraic Eigenvalue Problems, 2000

Non-Hermitian Eigenvalue Problems.

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

Proceedings of the Templates for the Solution of Algebraic Eigenvalue Problems, 2000

Nonlinear Eigenvalue Problems.

Zhaojun Bai, Gerard L. G. Sleijpen, Henk A. van der Vorst, R. Lippert, A. Edelman

Proceedings of the Templates for the Solution of Algebraic Eigenvalue Problems, 2000

1999

Error bound for reduced system model by Pade approximation via the Lanczos process.

Zhaojun Bai, Rodney D. Slone, William T. Smith, Qiang Ye

IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1999

ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems.

Zhaojun Bai, David Day, Qiang Ye

SIAM J. Matrix Anal. Appl., 1999

LAPACK Users' Guide, Third Edition

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

Software, Environments and Tools, SIAM, ISBN: 978-0-89871-960-4, 1999

1998

Using the Matrix Sign Function to Compute Invariant Subspaces.

Zhaojun Bai, James Demmel

SIAM J. Matrix Anal. Appl., January, 1998

Some Unusual Eigenvalue Problems.

Zhaojun Bai, Gene H. Golub

Proceedings of the Vector and Parallel Processing, 1998

How to make theoretically passive reduced-order models passive in practice.

Zhaojun Bai, Peter Feldmann, Roland W. Freund

Proceedings of the IEEE 1998 Custom Integrated Circuits Conference, 1998

1997

Algorithm 776: SRRIT: A Fortran Subroutine to Calculate the Dominant Invariant Subspace of N nonsymmetric Matrix.

Zhaojun Bai, G. W. Stewart

ACM Trans. Math. Softw., 1997

The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers.

Zhaojun Bai, James Demmel, Jack J. Dongarra, Antoine Petitet, Howard Robinson, Ken Stanley

SIAM J. Sci. Comput., 1997

1995

Progress in the numerical solution of the nonsymmetric eigenvalue problem.

Zhaojun Bai

Numer. Linear Algebra Appl., 1995

Templates for Linear Algebra Problems.

Zhaojun Bai, David Day, James Demmel, Jack J. Dongarra, Ming Gu, Axel Ruhe, Henk A. van der Vorst

Proceedings of the Computer Science Today: Recent Trends and Developments, 1995

1994

A Parallel Algorithm for Computing the Generalized Singular Value Decomposition.

Zhaojun Bai

J. Parallel Distributed Comput., 1994

1993

On computing condition numbers for the nonsymmetric eigenproblem.

Zhaojun Bai, James Demmel, A. McKenney

ACM Trans. Math. Softw., 1993

A New Preprocessing Algorithm for the Computation of the Generalized Singular Value Decomposition.

Zhaojun Bai, Hongyuan Zha

SIAM J. Sci. Comput., 1993

Computing the Generalized Singular Value Decomposition.

Zhaojun Bai, James Weldon Demmel

SIAM J. Sci. Comput., 1993

Design of a Parallel Nonsymmetric Eigenroutine Toolbox, Part I.

Zhaojun Bai, James Demmel

Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1991

An Implementation of the GMRES Method Using QR Factorization.

Zhaojun Bai, Dan Hu, Lothar Reichel

Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, 1991

1990

LAPACK: a portable linear algebra library for high-performance computers.

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

Proceedings of the Proceedings Supercomputing '90, New York, NY, USA, November 12-16, 1990, 1990

1989

On a Block Implementation of Hessenberg Multishift QR Iteration.

Zhaojun Bai, James Demmel

Int. J. High Speed Comput., 1989