On a Block Implementation of Hessenberg Multishift QR Iteration. - Zhaojun Bai; James Demmel (Int. J. High Speed Comput., 1989)

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 (SC, 1990)

An Implementation of the GMRES Method Using QR Factorization. - Zhaojun Bai; Dan Hu; Lothar Reichel (PP, 1991)

Design of a Parallel Nonsymmetric Eigenroutine Toolbox, Part I. - Zhaojun Bai; James Demmel (PPSC, 1993)

Computing the Generalized Singular Value Decomposition. - Zhaojun Bai; James Weldon Demmel (SIAM J. Sci. Comput., 1993)

A New Preprocessing Algorithm for the Computation of the Generalized Singular Value Decomposition. - Zhaojun Bai; Hongyuan Zha (SIAM J. Sci. Comput., 1993)

On computing condition numbers for the nonsymmetric eigenproblem. - Zhaojun Bai; James Demmel; A. McKenney (ACM Trans. Math. Softw., 1993)

A Parallel Algorithm for Computing the Generalized Singular Value Decomposition. - Zhaojun Bai (J. Parallel Distributed Comput., 1994)

Templates for Linear Algebra Problems. - Zhaojun Bai; David Day; James Demmel; Jack J. Dongarra; Ming Gu 002; Axel Ruhe; Henk A. van der Vorst (Computer Science Today, 1995)

Progress in the numerical solution of the nonsymmetric eigenvalue problem. - Zhaojun Bai (Numer. Linear Algebra Appl., 1995)

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)

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)

How to make theoretically passive reduced-order models passive in practice. - Zhaojun Bai; Peter Feldmann; Roland W. Freund (CICC, 1998)

Some Unusual Eigenvalue Problems. - Zhaojun Bai; Gene H. Golub (VECPAR, 1998)

Using the Matrix Sign Function to Compute Invariant Subspaces. - Zhaojun Bai; James Demmel (SIAM J. Matrix Anal. Appl., 1998)

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 (SIAM, 1999)

ABLE: An Adaptive Block Lanczos Method for Non-Hermitian Eigenvalue Problems. - Zhaojun Bai; David Day; Qiang Ye 003 (SIAM J. Matrix Anal. Appl., 1999)

Error bound for reduced system model by Pade approximation via the Lanczos process. - Zhaojun Bai; Rodney D. Slone; William T. Smith; Qiang Ye 003 (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1999)

Nonlinear Eigenvalue Problems. - Zhaojun Bai; Gerard L. G. Sleijpen; Henk A. van der Vorst; R. Lippert; A. Edelman (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Non-Hermitian Eigenvalue Problems. - T. Chen; James Demmel; Ming Gu 002; 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; et al. (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Hermitian Eigenvalue Problems. - Ming Gu 002; Axel Ruhe; Richard B. Lehoucq; Danny C. Sorensen; Roland W. Freund; Gerard L. G. Sleijpen; Henk A. van der Vorst; Zhaojun Bai; Ruipeng Li (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Generalized Hermitian Eigenvalue Problems. - Ming Gu 002; Axel Ruhe; Gerard L. G. Sleijpen; Henk A. van der Vorst; Zhaojun Bai; Ruipeng Li (Templates for the Solution of Algebraic Eigenvalue Problems, 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 (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Eigenvalue-based characterization and test for positive realness of scalar transfer functions. - Zhaojun Bai; Roland W. Freund (IEEE Trans. Autom. Control., 2000)

A Symmetric Band Lanczos Process Based on Coupled Recurrences and Some Applications. - Zhaojun Bai; Roland W. Freund (SIAM J. Sci. Comput., 2001)

Normalized-cut algorithm for hierarchical vector field data segmentation. - Jiann-Liang Chen; Zhaojun Bai; Bernd Hamann; Terry J. Ligocki (Visualization and Data Analysis, 2003)

SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits. - Yangfeng Su; Jian Wang; Xuan Zeng 001; Zhaojun Bai; Charles C. Chiang; Dian Zhou (ICCAD, 2004)

Substructuring, Dimension Reduction and Applications: An Introduction. - Zhaojun Bai; Ren-Cang Li (PARA, 2004)

Towards an Optimal Substructuring Method for Model Reduction. - Zhaojun Bai; Ben-Shan Liao (PARA, 2004)

Model Reduction for RF MEMS Simulation. - David Bindel; Zhaojun Bai; James Demmel (PARA, 2004)

Structure-Preserving Model Reduction. - Ren-Cang Li; Zhaojun Bai (PARA, 2004)

Algebraic Sub-structuring for Electromagnetic Applications. - Chao Yang 001; Weiguo Gao; Zhaojun Bai; Xiaoye S. Li; Lie-Quan Lee; Parry Husbands; Esmond G. Ng (PARA, 2004)

Block SAPOR: block Second-order Arnoldi method for Passive Order Reduction of multi-input multi-output RCS interconnect circuits. - Bang Liu; Xuan Zeng 001; Yangfeng Su; Jun Tao 001; Zhaojun Bai; Charles C. Chiang; Dian Zhou (ASP-DAC, 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)

Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method. - Zhaojun Bai; Yangfeng Su (SIAM J. Sci. Comput., 2005)

An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation. - Chao Yang 001; Weiguo Gao; Zhaojun Bai; Xiaoye S. Li; Lie-Quan Lee; Parry Husbands; Esmond G. Ng (SIAM J. Sci. Comput., 2005)

Segmenting Point Sets. - Ichitaro Yamazaki; Vijay Natarajan; Zhaojun Bai; Bernd Hamann (SMI, 2006)

The second-order biorthogonalization procedure and its application to quadratic eigenvalue problems. - Bin Wang; Yangfeng Su; Zhaojun Bai (Appl. Math. Comput., 2006)

An Algebraic Substructuring Method for High-Frequency Response Analysis of Micro-systems. - Jin Hwan Ko; Zhaojun Bai (International Conference on Computational Science (1), 2007)

Parameterized model order reduction via a two-directional Arnoldi process. - Yung-Ta Li; Zhaojun Bai; Yangfeng Su; Xuan Zeng 001 (ICCAD, 2007)

CompostBin: A DNA Composition-Based Algorithm for Binning Environmental Shotgun Reads. - Sourav Chatterji; Ichitaro Yamazaki; Zhaojun Bai; Jonathan A. Eisen (RECOMB, 2008)

Model Order Reduction of Parameterized Interconnect Networks via a Two-Directional Arnoldi Process. - Yung-Ta Li; Zhaojun Bai; Yangfeng Su; Xuan Zeng 001 (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2008)

An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems. - Weiguo Gao; Xiaoye S. Li; Chao Yang 001; Zhaojun Bai (ACM Trans. Math. Softw., 2008)

Parallelization of DQMC simulation for strongly correlated electron systems. - Che-Rung Lee; I-Hsin Chung; Zhaojun Bai (IPDPS, 2010)

The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides. - Karl Meerbergen; Zhaojun Bai (SIAM J. Matrix Anal. Appl., 2010)

Optimizing Halley's Iteration for Computing the Matrix Polar Decomposition. - Yuji Nakatsukasa; Zhaojun Bai; François Gygi (SIAM J. Matrix Anal. Appl., 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)

Segmenting point-sampled surfaces. - Ichitaro Yamazaki; Vijay Natarajan; Zhaojun Bai; Bernd Hamann (Vis. Comput., 2010)

Redesign of Higher-Level Matrix Algorithms for Multicore and Distributed Architectures and Applications in Quantum Monte Carlo Simulation. - Che-Rung Lee; Zhaojun Bai (IPDPS, 2011)

Solving Rational Eigenvalue Problems via Linearization. - Yangfeng Su; Zhaojun Bai (SIAM J. Matrix Anal. Appl., 2011)

Advancing Large Scale Many-Body QMC Simulations on GPU Accelerated Multicore Systems. - Andrés Tomás; Chia-Chen Chang; Richard Scalettar; Zhaojun Bai (IPDPS, 2012)

Parallelization of the QR Decomposition with Column Pivoting Using Column Cyclic Distribution on Multicore and GPU Processors. - Andrés Tomás; Zhaojun Bai; Vicente Hernández (VECPAR, 2012)

Minimization Principles for the Linear Response Eigenvalue Problem I: Theory. - Zhaojun Bai; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2012)

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)

Minimization Principles for the Linear Response Eigenvalue Problem II: Computation. - Zhaojun Bai; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2013)

Structured Orthogonal Inversion of Block p-Cyclic Matrices on Multicores with GPU Accelerators. - Sergiy Gogolenko; Zhaojun Bai; Richard Scalettar (Euro-Par, 2014)

Automated backward error analysis for numerical code. - Zhoulai Fu; Zhaojun Bai; Zhendong Su 001 (OOPSLA, 2015)

A Fast Selected Inversion Algorithm for Green's Function Calculation in Many-Body Quantum Monte Carlo Simulations. - Chengming Jiang; Zhaojun Bai; Richard Scalettar (IPDPS, 2016)

Stability Analysis of the Two-level Orthogonal Arnoldi Procedure. - Ding Lu; Yangfeng Su; Zhaojun Bai (SIAM J. Matrix Anal. Appl., 2016)

A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems. - C. Kristopher Garrett; Zhaojun Bai; Ren-Cang Li (ACM Trans. Math. Softw., 2016)

Robust and Efficient Computation of Eigenvectors in a Generalized Spectral Method for Constrained Clustering. - Chengming Jiang; Huiqing Xie; Zhaojun Bai (AISTATS, 2017)

Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation. - Roel Van Beeumen; Osni Marques; Esmond G. Ng; Chao Yang 001; Zhaojun Bai; Lixin Ge; Oleksiy Kononenko; Zenghai Li; Cho-Kuen Ng; Liling Xiao (J. Comput. Phys., 2018)

On an Eigenvector-Dependent Nonlinear Eigenvalue Problem. - Yunfeng Cai; Lei-Hong Zhang; Zhaojun Bai; Ren-Cang Li (SIAM J. Matrix Anal. Appl., 2018)

Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems. - Zhaojun Bai; Ding Lu; Bart Vandereycken (SIAM J. Sci. Comput., 2018)

Matrix Powers Kernels for Thick-Restart Lanczos with Explicit External Deflation. - Ichitaro Yamazaki; Zhaojun Bai; Ding Lu; Jack J. Dongarra (IPDPS, 2019)

On the shift-invert Lanczos method for the buckling eigenvalue problem. - Chao-Ping Lin; Huiqing Xie; Roger Grimes; Zhaojun Bai (CoRR, 2019)

Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms. - Yunshen Zhou; Zhaojun Bai; Ren-Cang Li (CoRR, 2019)

2D Eigenvalue Problems I: Existence and Number of Solutions. - Yangfeng Su; Tianyi Lu; Zhaojun Bai (CoRR, 2019)

Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems. - Zhaojun Bai; Ren-Cang Li; Ding Lu (CoRR, 2020)

Orthogonal canonical correlation analysis and applications. - Li Wang 033; Lei-Hong Zhang; Zhaojun Bai; Ren-Cang Li (Optim. Methods Softw., 2020)

Backward Stability of Explicit External Deflation for the Symmetric Eigenvalue Problem. - Chao-Ping Lin; Ding Lu; Zhaojun Bai (CoRR, 2021)

2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications. - Tianyi Lu; Yangfeng Su; Zhaojun Bai (CoRR, 2022)

A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis. - Dong Min Roh; Zhaojun Bai (CoRR, 2022)

A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis. - Lei-Hong Zhang; Li Wang 033; Zhaojun Bai; Ren-Cang Li (IEEE Trans. Pattern Anal. Mach. Intell., 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)

Scalable Spectral Clustering with Group Fairness Constraints. - Ji Wang; Ding Lu; Ian Davidson; Zhaojun Bai (AISTATS, 2023)

2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration. - Tianyi Lu; Yangfeng Su; Zhaojun Bai (CoRR, 2023)

A Self-Consistent Field Solution for Robust Common Spatial Pattern Analysis. - Dong Min Roh; Zhaojun Bai (CoRR, 2023)

Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation. - Ming Zhou 007; Zhaojun Bai; Yunfeng Cai; Klaus Neymeyr (Numer. Linear Algebra Appl., 2023)

Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications. - Tianyi Lu; Yangfeng Su; Zhaojun Bai (SIAM J. Matrix Anal. Appl., 2024)

Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration. - Zhaojun Bai; Ding Lu (SIAM J. Matrix Anal. Appl., 2024)

EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity. - Nian Shao; Wenbin Chen 006; Zhaojun Bai (SIAM J. Matrix Anal. Appl., 2025)

Hidden Convexity of Fair PCA and Fast Solver via Eigenvalue Optimization. - Junhui Shen; Aaron J. Davis; Ding Lu; Zhaojun Bai (CoRR, 2025)

Jacobian-Free Newton-Krylov with a globalization method for solving groundwater flow models of multi-layer aquifer systems. - Raghav Singhal; Emin C. Dogrul; Zhaojun Bai (CoRR, 2025)