Dr. Xin Liang

Dr. Xin Liang

Dr. Xin Liang

Email:

Main Focus

Numerical Linear Algebra
Matrix Computation
Matrix Theory
Eigenvalue Problem

Curriculum Vitae

Education and Experience
  • Sep. 2014 – Present: Postdoctoral Researcher, Max Planck Institute for Dynamics of Complex Technical Systems, Germany
  • Sep. 2009 – Jul. 2014: D. Sc., Computational Mathematics, School of Mathematical Sciences, Peking University, PR China
    • Thesis Title: Extensions and Applications of Min-Max Principles
    • Advisor: Prof. Shufang Xu
  • Sep. 2011 – Sep. 2013: Visiting Student, Department of Mathematics, University of Texas at Arlington, USA.
    • Advisor: Prof. Ren-Cang Li
  • Sep. 2009 – Jul. 2011: Teaching Assistant, School of Mathematical Sciences, Peking University, PR China.
    • Courses: Linear Algebra, Numerical Linear Algebra II, Matrix Computation in Control Systems, Operation Research
  • Apr. 2009 – Jan. 2010: Software Author, School of Mathematical Sciences, Peking University, PR China.
    • Project: Basic Optimization Toolbox in Matlab
    • Advisor: Prof. Li Gao
  • Sep. 2005 – Jul. 2009: B. S., Information and Computing Science, School of Mathematical Sciences, Peking University, PR China
Publications
  1. Xin Liang, Ren-Cang Li, and Zhaojun Bai. Trace minimization principles for positive semi-definite pencils. Linear Algebra Appl., 438(7):3085–3106, 2013. (preprint)
  2. Xin Liang and Ren-Cang Li. Extensions of Wielandt’s min-max principles for positive semi-definite pencils. Linear Multilinear Algebra, 62(8):1032–1048, 2014. (preprint)
  3. Xin Liang and Ren-Cang Li. The hyperbolic quadratic eigenvalue problem. Forum of Mathematics, Sigma, 3(e13), 2015. (preprint)

Organizational Unit (Department, Group, Facility):

  • Computational Methods in Systems and Control Theory
  • Max Planck Institute for Dynamics of Complex Technical Systems
 
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