Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

  • About
    • President
    • Governance
    • Partner Institutions
    • Visit
  • People
    • Management
    • Faculty
    • Postdocs
    • Visiting Scholars
    • Staff
  • Research
    • Research Groups
    • Courses
    • Seminars
  • Join Us
    • Faculty
    • Postdocs
    • Students
  • Events
    • Conferences
    • Workshops
    • Forum
  • Life @ BIMSA
    • Accommodation
    • Transportation
    • Facilities
    • Tour
  • News
    • News
    • Announcement
    • Downloads
About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Xin Liang

Xin Liang

     Associate Professor    
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

Publication


  • [1] Xin Liang, and Ren-Cang Li, On Generalizing Trace Minimization Principles, II, LINEAR ALGEBRA AND ITS APPLICATIONS, 687(2024), 8-37
  • [2] Zhen-Chen Guo, and Xin Liang, ISC: an RADI-type method for stochastic continuous-time algebraic Riccati equations(2024)
  • [3] 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
  • [4] Zhen-Chen Guo and Xin Liang, The intrinsic Toeplitz structure and its applications in algebraic Riccati equations, NUMERICAL ALGORITHMS, 93(2023), 227-267
  • [5] Xin Liang, On the optimality of the Oja's algorithm for online PCA, STATISTICS AND COMPUTING, 33(2023), e62
  • [6] 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
  • [7] 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
  • [8] 梁鑫,田垠,杨一龙, 线性代数入门(2022)
  • [9] Huaming Ling, Chenglong Bao, Xin Liang, Zuoqiang Shi, Semi-Supervised Clustering via Dynamic Graph Structure Learning, arXiv:2209.02513(2022)
  • [10] 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
  • [11] 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
  • [12] 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
  • [13] 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
  • [14] Xin Liang, Note on finding an optimal deflation for quadratic matrix polynomials, CSIAM Transactions on Applied Mathematics, 2(2021), 2, 336-356
  • [15] Xin Liang and Ren-Cang Li, The hyperbolic quadratic eigenvalue problem, Forum of Mathematics Sigma, 3(2015), e13
  • [16] 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
  • [17] 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: 2025-05-26 15:11:57


Beijing Institute of Mathematical Sciences and Applications
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

Copyright © Beijing Institute of Mathematical Sciences and Applications

京ICP备2022029550号-1

京公网安备11011602001060 京公网安备11011602001060