- Yunfeng Cai
- Assistant Professor
- yfcai@math.pku.edu.cn
- Office :
Education
Ph. D |
2009 |
Computing Math. |
Peking University |
B. S. |
2004 |
Mathematics |
University of Science and Technology of China |
Research Interests
Tensor decompositions and applications; eigenvalue prblem
1. Tensor decomosition in block terms, theory, algorithm, application, etc.
2. Eigenvalue problem and inverse eigenvalue problem
Selected Publications
- Y.F. Cai, C.Y. Liu, An Algebraic Approach to Nonorthogonal General Joint Block Diagonalization , SIAM J. on Matrix Analysis and Applications, Vol. 38, pp. 50--71, 2017.
- Y.F. Cai, D.C. Shi, S.F. Xu, A matrix polynomial spectral approach for general joint block diagonalization , SIAM J. on Matrix Analysis and Applications, Vol. 36, pp. 839--863, 2015.
- Y.F. Cai, Z. Bai, J. E. Pask, N. Sukumar, Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations , Journal of Computational Physics, Vol. 255, pp. 16--30, 2013.
- Y.F. Cai, J. Qian and S.F. Xu, Robust partial pole assignment problem for high order control systems, Automatica, Vol. 48, pp. 1462--1466, 2012.
Professional Appointments
2012-current |
Research fellow |
School of Mathmatical Sciences, Peking University |
2010-2012 |
Postdoctoral Fellow |
Computer Sciences, University of California, Davis |
2009 |
Postdoctoral Fellow |
Academy of Mathmatics and Systems Science, Chinese Academy of Sciences |
Honors and Awards
2014 |
Youth Fund, NSFC |
2012 |
Hundred Talent Program, PekingUniversity |
Teaching Activities
Undergraduate course |
Advanced Mathematics |
2013.s,,2014.s, 2015.s, 2016.s |
Undergraduate course |
Scientific Computing |
2017.s |
Undergraduate/Graduate course |
Numerical Linear Algebra |
2012.f, 2013.f, 2014.f, 2015.f, 2016.f |
Research Projects
2014-2016 |
Matrix joint block diagonalization: theory and algorithm |
National Science Foundation of China |
¥22,000rmb |
PI |
2017-2020 |
Algebraic Methods for blind matrix joint block diagonaliztion |
National Science Foundation of China |
¥ 48,000rmb |
PI |