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