Homepage of Zhaojun Bai

Zhaojun Bai

Professor of Computer Science and Mathematics

Faculty Scientist of LBL Scalable Solver Group

Mailing address:

Department of Computer Science

University of California

One Shields Avenue

Davis, CA 95616

Office: 3005 Kemper Hall

Phone: (530) 752-4874

Fax: (530) 752-4767

email: zbai at ucdavis.edu

Office hours (FQ 2025, 9/24--12/5)

11:00am -- 12:00noon, Mondays and Fridays
12:00noon -- 1:00pm, Wednesdays
1:30pm - 2:30pm, Tuesdays
by appointment

Teaching

First-year seminar: Great ideas in computer science
Discrete Mathematics for Computer Science (ECS20)
Introduction to programming and problem solving (ECS30)
Algorithm design and analysis (ECS122A)
Scientific Computation (Numerical Algorithms) (ECS130)
Applied Numerical Linear Algebra (ECS230)
Large Scale Scientific Computing (ECS231)
Applied Parallel Scientific Computing (ECS289K)

Publications

Recent publications
LAPACK Users' Guide, 3rd Edition, by E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen, xxvi+407 pages, SIAM, 1999
Introduction to LAPACK in Handbook of Linear Algebra (2nd edition), edited by L. Hogben ed., CRC Press, 2014
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. van der Vorst eds., SIAM, 2000, xxix+410 pages.
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems (Matlab routines and test data )
From Self-consistency to SOAR: Solving Large-Scale Nonlinear Eigenvalue Problems, SIAM News, April 2006. (Webpage)
Numerical Methods for Quantum Monte Carlo Simulations of the Hubbard Model, in ``Multi-Scale Phenomena in Complex Fluids'', Thomas Y. Hou, Chun Liu and Jian-Guo Liu eds., pp.1-110, Higher Education Press and World Scientific, 2009 (ISBN-978-7-04-017358-1)
Matrix Functions and Matrix Equations, edited by Z. Bai, W. Gao and Y. Su, Higher Education Press and World Scientific, 2015
Special Issue on Applied and Computational Mathematics, Science China Mathematics, August 2016 edited by Zhaojun Bai, Yu-Hong Dai, Weinan E, Chi-Wang Shu and Pingwen Zhang
2017 LSEC Summer School Lecture Notes on Advances in Algebraic Nonlinear Eigenvalue Problems.
More publications

Software

LAPACK (source code site)
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
QUEST:QUantum Electron Simulation Toolbox. (QUEST is a part of PETAMAT project on next generation multi-scale quantum simulation software for strongly correlated materials. Link to QUEST on code.google
NEP Collection in MatrixMarkt, a collection of test matrices for large scale nonsymmetric eigenvalue problems.
SRRIT: simultaneous iteration method for calculating the dominant invariant subspace of a nonsymmetric matrix (Algorithm 776 in ACMS TOMS, Vol.23, 1997) description article
A simple tutorial on model order reduction of large scale dynamical systems by Krylov subspace-based methods (1) article (2) Matlab routines and test data
Adaptive projection subspace dimension for the thick-restart Lanczos method (Paper, Software)
A Pade approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods
A tutorial on zwolf for OpenMP and CUDA parallel program
For information about the following software, please contact bai@cs.ucdavis.edu
ASEIG and ASFR: Algebraic substructuring for eigenvalue and frequency calculations (under LBNL Software License), August 2011
(Paper on Eigenvalue calculation) (Paper on frequency calculation)
SUGAR: a simulation tool for MEMS devices
PRISM: parallel research on invariant subspace methods for solving eigenvalue problems.
Matlab codes for numerical computation of quadratic forms involving large-scale matrix functions
Fortan routines of methods (QZ-based, matrix sign function, and inverse-free iteration) for solving generalized algebraic Riccati equations

Bio-sketch: Zhaojun Bai is a Distinguished Professor in Department of Computer Science and Department of Mathematics, University of California, Davis, and a Faculty Computer Scientist at Lawrence Berkeley National Laboratory. He obtained his PhD from Fudan University, China and postdoctoral fellowship from Courant Institute, New York University. His main research interests include linear algebra algorithm design and analysis, mathematical software engineering and applications in computational science and engineering, and data science. He participated in a number of synergistic projects such as LAPACK. He serves on editorial boards of ACM TOMS and JCM among others. Previously, he served as co-Editor-in-Chief of ACM TOMS, associate editor of SIMAX, Science China Mathematics, vice chair of IEEE IPDPS and numerous other professional positions. He is a Fellow of SIAM.

Zhaojun Bai

Teaching

Publications

Software

Links