Scientific Computation Group, UCDavis


Mission Statement The Scientific Computation Group focuses on the development of a first-rate educational and research program in scientific computing with the balance of the fundamentals and high-impact applications. Group Members Core Faculty Zhaojun Bai, Professor and Chair of Computer Science and Professor of Mathematics Alan Laub, Professor of Computer Science Students Ichitaro Yamazaki Jenny Wang Main Research Thrusts Numerical linear algebra and computational matrix analysis Iterative methods for large scale matrix computations Parallel scientific computing; Algorithms for computer-aided control system design Reduced-order modeling of linear dynamic systems and applications in circuit simulation and structure dynamics analysis Software development Current Research Projects Linear Algebra Algorithms and Tools for Emerging Computing Environments and User Communities Reduced-Order Modeling of Linear Dynamical Systems Numerical Algorithms for Sensitivity Estimation in Control supported by National Science Foundation and the Department of Energy Numerical Algorithm for Computing GSVD and CSD Based on Von Loan's Approach
Selected Recent Publications A. Laub and P. Gahinet, Numerical Improvements for Solving Riccati Equations, IEEE Trans. Aut. Control, Vol. 42, pp.1303--1308, 1997 T. Gudmundsson, C. Kenney and A. Laub, Small-Sample Statistical Estimates for the Sensitivity of Eigenvalue Problems, SIAM J. Matrix Anal. Appl. Vol. 18, pp.868--886, 1997 C. Kenney and A. Laub, Statistical Condition Estimation for Linear Least Squares, SIAM J. Matrix Anal. Appl. Vol. 19, pp.906--923, 1998 E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney and D. Sorensen, LAPACK User's Guide, Third Edition (407 pages), SIAM, 1999. Z. Bai, R. S. Slone, W. T. Smith and Q. Ye, Error bound for reduced system model by Pade Approximation via the Lanczos process, IEEE Trans. on CAD of Intergrated Circuits and Systems, Vol.18, pp.133-141, 1999 Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. van der Vorst, editors, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, SIAM, 2000 (to appear) Contact Information Scientific Computation Group c/o Zhaojun Bai Department of Computer Science University of California One Shields Avenue Davis, CA 95616 Phone: (530) 752-4874 FAX: (530) 752-4767