Dr. Xin Liang

Dr. Xin Liang

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

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)
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