丁维洋
DING, Weiyang

Research Assistant Professor
Department of Mathematics
Hong Kong Baptist University
Kowloon Tong, Hong Kong SAR

Email: wyding at hkbu dot edu dot hk
              weiyang dot ding at gmail dot com
Office: RRS917, HKBU
Phone: (852) 3411 2527

My profile on Google Scholar

Background
I received my B.Sc. degree in Mathematics and Applied Mathematics in July 2011 and my Ph.D. degree in Computational Mathematics in June 2016 both from School of Mathematical Sciences, Fudan University. My Ph.D. supervisor was Professor WEI, Yimin. I was a Postdoctoral Fellow supported by the project of Professor QI, Liqun at Department of Applied Mathematics, the Hong Kong Polytechnic University from October 2016 to August 2017. I joined Hong Kong Baptist University as Research Assistant Professor in September 2017.

Research Interest
  • Numerical (multi)linear algebra, particularly the theory, computation, and applications of structured tensors.
  • Tensor spectral theory with applications in sciences.
  • Numerical optimization.

Teaching
Undergraduate courses at HKBU:
  • MATH4516: Introduction to Numerical Linear Algebra, Spring 2020/2019/2018.
  • MATH3206: Numerical Method I, Fall 2018.
Postgraduate courses at HKBU:
  • MATH7030: Numerical Linear Algebra, Spring 2020/2019/2018.
Short courses:
  • 2017 Short Course on Tensor Analysis, Shanghai University, 16-18 April 2017.

Grants and Awards
  • Sept 2019 - Aug 2022, Principal Investigator, General Research Fund 12301619, Research Grants Council of Hong Kong.
  • Jan 2019 - Dec 2021, Principal Investigator, NSFC Young Scientists Fund 11801479, National Natural Science Foundation of China.
  • The paper "Generalized tensor eigenvalue problems" was awarded the 2nd Prize of the Award for Outstanding Youth Papers from China Society for Computational Mathematics in 2015.
  • 2 papers "Solving multi-linear systems with M-tensors" and "M-tensors and nonsingular M-tensors" are ESI highly cited papers.
  • The paper "M-tensors and nonsingular M-tensors" was one of the 5 most highly cited papers during 2014, 2015 and up until June 2016 in Linear Algebra and its Applications.

Publications
Monograph:
  1. Y. Wei and W. Ding. Theory and Computation of Tensors (Multi-dimensional Arrays). Elsevier/Academic Press, 2016.
Journal papers:
  1. W. Ding, M. Ng, and W. Zhang. Peaceman-Rachford splitting methods for monotone plus skew-symmetric operators, J. Sci. Comput., doi:10.1007/s10915-019-01034-w, 2019. [pdf]
  2. W.-p. Huang, P. Y. Kwan, W. Ding, B. Min, R. C.C. Cheung, L. Qi, and H. Yan. High performance hardware architecture for singular spectrum analysis of Hankel tensors. Microprocess. Microsyst. 64: 120-127, 2019. [pdf]
  3. W. Ding, Z. Luo, and L. Qi. P-tensors, P0-tensors, and their applications. Linear Algebra Appl. 555: 336-354, 2018. [pdf]
  4. J. Liu, W. Ding, L. Qi, and W. Zou. Isotropic polynomial invariants of Hall tensor. Appl. Math. Mech. (English Ed.) 39(12): 1845-1856, 2018.
  5. W. Ding, M. Ng, and Y. Wei. Fast computation of stationary joint probability distribution of sparse Markov chains. Appl. Numer. Math. 125: 68-86, 2018. [pdf]
  6. J. Chang, W. Ding, L. Qi, and H. Yan. Computing the p-spectral radii of uniform hypergraphs with applications. J. Sci. Comput. 75(1): 1-25, 2018. [pdf]
  7. W. Ding, L. Qi, and Y. Wei. Inheritance properties and sum-of-squares decompostition of Hankel tensors: theory and algorithms. BIT 57(1): 169-190, 2017.[pdf]
  8. W. Ding, Z. Hou, and Y. Wei. Tensor logarithmic norm and its applications. Numer. Linear Algebra Appl. 23(6): 989-1006, 2016. [pdf]
  9. W. Ding and Y. Wei. Solving multi-linear systems with M-tensors. J. Sci. Comput. 68(2): 689-715, 2016. [pdf]
  10. W. Ding, L. Qi, and Y. Wei. Fast Hankel tensor-vector product and its application to exponential data fitting. Numer. Linear Algebra Appl. 22(5): 814-832, 2015. [pdf]
  11. W. Ding and Y. Wei. Generalized tensor eigenvalue problems. SIAM J. Matrix Anal. Appl. 36(3): 1073-1099, 2015. [pdf]
  12. W. Ding, L. Qi, and Y. Wei. M-tensors and nonsingular M-tensors. Linear Algebra Appl. 439(10): 3264-3278, 2013. [pdf]
Preprints:
  1. W. Ding, J. Liu, L. Qi, and H. Yan. Elasticity M-tensors and the strong ellipticity condition, preprint, 2019.

Visits
  • Sept 2012 - Jan 2013: The University of Iowa, hosted by Dr. CAI, Jian-Feng.
  • Jan 2014 - Apr 2014: The Hong Kong Polytechnic University, hosted by Prof. QI, Liqun.
  • Jan 2015 - Mar 2015: Hong Kong Baptist University, hosted by Prof. NG, Michael Kwok-po.
  • Apr 2015 - June 2015: The Hong Kong Polytechnic University, hosted by Prof. QI, Liqun.
  • Dec 2015 - Feb 2016: The Hong Kong Polytechnic University, hosted by Prof. QI, Liqun.
  • Nov 2016: University of Macau, hosted by Prof. JIN, Xiao-Qing.
  • June 2019: University of Electronic Science and Technology of China, hosted by Dr. ZHAO, Xi-Le.
  • Aug 2019: East China Normal University, hosted by Prof. GUO, Xue-Ping.


為天地立心,為生民立命,為往聖繼絕學,為萬世開太平。—— [宋]張載