Xiaobo Liu

MPI-DCTS, Sandtorstr. 1

39106 Magdeburg, Germany

Welcome. I am a postdoctoral researcher in the Computational Methods in Systems and Control Theory group at the Max Planck Institute for Dynamics of Complex Technical Systems, headed by Prof. Peter Benner. Previously, I was a research associate in the Numerical Linear Algebra Group at The University of Manchester, where I also completed my PhD (Sep 2018–Jun 2022) and was very fortunate to be supervised by Prof. Nicholas J. Higham.

Broadly speaking, I work in Numerical Analysis and Numerical Linear Algebra (NLA), focusing on the design, analysis, and development of numerical algorithms. I studied the computation of matrix functions in arbitrary precision arithmetic during my PhD, and my recent research has increasingly focused on mixed-precision NLA.

I am currently a participant in the research project:

Matrix Functions and Exponential Integrators, funded by the DFG Scientific Networks programme, 2025.

news

Mar 16, 2026	New preprint on Reduced rank extrapolation for multi-term Sylvester equations with P. Benner, P. den Boef, P. Kürschner, and J. Saak.
Mar 03, 2026	Many thanks to Thomas Bake and Yuxin Ma for the invitation to speak at the minisymposium Matrix Computations on Emerging Architectures at SIAM PP26, where I presented our work on Mixed Precision HODLR Matrices.
Dec 17, 2025	Together with Massimiliano Fasi, we are organizing a minisymposium Approximate Computing in Numerical Linear Algebra at ILAS 2026.
Dec 08, 2025	Together with Bastien Vieublé, we are organizing a minisymposium Mixed Precision Algorithms: A Rounding Error Analysis Perspective at SIAM PP26.