BIMSA > Xin Liang
Associate Professor Xin Liang

Group: Computational Mathematics

Office: A12-103

Email: liangxin@bimsa.cn

Research Field: Numerical Algebra

Research Interest

  • Numerical Linear Algebra
  • Matrix Analysis
  • Algebraic Eigenvalue Problems
  • Matrix Equations
  • Randomized Algorithms

Education Experience

  • 2011 - 2013      University of Texas at Arlington      Computational Mathematics      Visiting Student      (Supervisor: Prof. Ren-Cang Li)
  • 2009 - 2014      Peking University      Computational Mathematics      D.Sc.      (Supervisor: Prof. Shufang Xu)
  • 2005 - 2009      Peking University      Computational Mathematics      B.Sc.

Work Experience

  • 2024 -      Beijing Institute of Mathematical Sciences and Applications      Associate Professor
  • 2021 - 2024      Beijing Institute of Mathematical Sciences and Applications      Adjunct Assistant Professor
  • 2018 - 2024      Tsinghua University      Assistant Professor
  • 2018 - 2018      University of Texas at Arlington      Visiting Scholar
  • 2016 - 2017      National Chiao Tung University      Postdoctoral Researcher
  • 2014 - 2016      Max Planck Institute for Dynamics of Complex Technical Systems      Postdoctoral Researcher

Honors and Awards

  • 2024      Ruolin Prize
  • 2022      Ruolin Prize

Publication

  • [1] ZC Guo, X Liang, An RADI-type method for stochastic continuous-time algebraic Riccati equations, arXiv preprint arXiv:2403.02940 (2024)
  • [2] Xin Liang, and Ren-Cang Li, On Generalizing Trace Minimization Principles, II, LINEAR ALGEBRA AND ITS APPLICATIONS, 687(2024), 8-37
  • [3] Zhen-Chen Guo, and Xin Liang, ISC: an RADI-type method for stochastic continuous-time algebraic Riccati equations(2024)
  • [4] X Liang, On the optimality of the Oja’s algorithm for online PCA, Statistics and Computing, 33(3), 62 (2023)
  • [5] Xin Liang, Zhen-Chen Guo, Li Wang, Ren-Cang Li, and Wen-Wei Lin, Nearly optimal stochastic approximation for online principal subspace estimation, Science China-Mathematics, 66(2023), 1087-1122
  • [6] Zhen-Chen Guo and Xin Liang, The intrinsic Toeplitz structure and its applications in algebraic Riccati equations, NUMERICAL ALGORITHMS, 93(2023), 227-267
  • [7] Xin Liang, On the optimality of the Oja's algorithm for online PCA, STATISTICS AND COMPUTING, 33(2023), e62
  • [8] Xin Liang, Li Wang, Lei-Hong Zhang, and Ren-Cang Li, On generalizing trace minimization principles, LINEAR ALGEBRA AND ITS APPLICATIONS, 656(2023), 483-509
  • [9] Zhen-Chen Guo and Xin Liang, Stochastic algebraic Riccati equations are almost as easy as deterministic ones theoretically, SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 44(2023), 4, 1749-1770
  • [10] X Liang, ZC Guo, TM Huang, T Li, WW Lin, Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media, IMA Journal of Numerical Analysis, 42(4), 3735-3770 (2022)
  • [11] 梁鑫，田垠，杨一龙, 线性代数入门(2022)
  • [12] Xiaojing Jia, Xin Liang, Chungen Shen, and Lei-Hong Zhang, Solving the cubic regularization model by a nested restarting Lanczos method, SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 43(2022), 812-839
  • [13] Peter Benner, and Xin Liang, Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 29(2022), 6, e2445
  • [14] Huaming Ling, Chenglong Bao, Xin Liang, Zuoqiang Shi, Semi-Supervised Clustering via Dynamic Graph Structure Learning, arXiv:2209.02513(2022)
  • [15] Xin Liang, Zhen-Chen Guo, Tsung-Ming Huang, Tiexiang Li, and Wen-Wei Lin, Bifurcation analysis of the eigenstructure of discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media, IMA JOURNAL OF NUMERICAL ANALYSIS, 42(2022), 4, 3735-3770
  • [16] Peter Benner, Xin Liang, Suzana Miodragović, and Ninoslav Truhar, Relative perturbation theory for quadratic Hermitian eigenvalue problems, LINEAR ALGEBRA AND ITS APPLICATIONS, 618(2021), 97-128
  • [17] Xin Liang, Note on finding an optimal deflation for quadratic matrix polynomials, CSIAM Transactions on Applied Mathematics, 2(2021), 2, 336-356
  • [18] Xin Liang and Ren-Cang Li, The hyperbolic quadratic eigenvalue problem, Forum of Mathematics Sigma, 3(2015), e13
  • [19] X Liang, RC Li, Extensions of Wielandt’s min–max principles for positive semi-definite pencils, Linear and Multilinear Algebra, 62(8), 1032-1048 (2014)
  • [20] Xin Liang and Ren-Cang Li, Extensions of Wielandt’s min-max principles for positive semi-definite pencils, LINEAR & MULTILINEAR ALGEBRA, 62(2014), 8, 1032-1048
  • [21] Xin Liang and Ren-Cang Li, Trace minimization principles for positive semi-definite pencils, LINEAR ALGEBRA AND ITS APPLICATIONS, 438(2013), 7, 3085-3106

 

Update Time: 2025-07-31 11:00:09