Name：Lidan Liao

Title：Associate Professor

Research Interests: Numerical Algebra, Numerical Optimization, Preconditioning

Education:

Sep 2015 – Jun 2018: Lanzhou University, School of Mathematics and Statistics, Ph.D.

Sep 2012 – Jun 2015: Lanzhou University, School of Mathematics and Statistics, M.S.

Sep 2008 – Jun 2012: Hexi University, School of Mathematics and Statistics, B.S.

Work Experience:

Feb 2023 – Feb 2024: Visiting Scholar, Toronto Metropolitan University

Jan 2023 – Present: Associate Professor, Nanchang University

Jul 2018 – Dec 2022: Lecturer, Nanchang University

Academic Service:

Jan 2024 – Jan 2026: Youth Editorial Board Member, Journal of Nanchang University.

Major Achievements:

Projects:

(1)  Fast Solution of Structured Linear Systems and Its Applications in Image Processing, National Natural Science Foundation of China, Grant No. 11901278, 2020/01-2022/12, Completed.

(2)  Efficient Preconditioned Iterative Methods for a Class of Structured Linear Systems with Applications in PDE-based Image Inpainting, Jiangxi Provincial Natural Science Foundation, Grant No. 20202BAB211002, 2021/01-2023/12, Principal Investigator, Completed.

(3)  Research on Fast Algorithms for Large-Scale Structured Linear Systems, Outstanding Graduate Student Innovation Project of Central Universities, Grant No. lzujbky-2017-it56, 2017.01-2018.12, Completed.

(4)  Research on Efficient Numerical Algorithms and Empirical Analysis for Option Pricing Models, Nanchang University Youth Talent Cultivation Project, Grant No. PYQN20230049, 2024/01-2026/12, In Progress.

(5)  Research on Numerical Algorithms for Path-Dependent Option Pricing Models, Jiangxi Provincial Natural Science Foundation, Grant No. 20232BAB201018, 2023/07-2026/06, In Progress.

Published Articles:

(1)  Lidan Liao, X. Ai, R.-X. Li, W. Xu*. Comparisons of two iteration methods for time-harmonic parabolic optimal control problems. Comput. Math. Appl., 159:44-59, 2024.

(2)  X. Ai, W. Xu, Lidan Liao*, X. Wang. Optimized parameterized Uzawa methods for solving complex Helmholtz equations, Comput. Math. Appl., 164: 34-44, 2024.

(3)  Lei Xin, Liao Xinkai, Liao Lidan*, Nonnegative Constraint Modified Damped Algorithm for Solving T₂ Spectrum Inversion Problems in Nuclear Magnetic Resonance Logging. Well Logging Technology, 48(1): 8-18, 2024.

(4)  Li Digen, Wang Xiang, Liao Lidan*, Research on Optimization of Preconditioning Techniques Based on Schur Complement Matrices of a Class of Block 2×2 Structured Matrices. Mathematica Numerica Sinica, 46(3): 341-369, 2024.

(5)  Jia-Lin Zhang, Guofeng Zhang*, Z.-Z. Liang, Lidan Liao, Momentum acceleration-based matrix splitting method for solving generalized absolute value equation, Comput. Appl. Math., 42:300, 1-29, 2023.

(6)  Jia-Lin Zhang, Guo-Feng Zhang, Zhao-Zheng Liang, Li-Dan Liao, Rui-Xia Li. Anderson acceleration preconditioned tensor splitting approach for tensor absolute value equation. J. Comput. Appl. Math., 472, 2026.

(7)  Liao Lidan, Guofeng Zhang*, Relationships and Optimization of Three Classes of Effective Preconditioners, Mathematica Numerica Sinica, 44(4):545-560, 2022.

(8)  Lidan Liao, Guofeng Zhang*, X. Wang, Preconditioned iterative method for nonsymmetric saddle point linear systems, Comput. Math. Appl., 98:69-80, 2021.

(9)  Lidan Liao, R.-X. Li*, X. Wang, A new iterative method for a class of linear system arising from image restoration problems, Results in Appl. Math., 12:100221, 2021.

(10)  Lidan Liao, Guofeng Zhang, X. Wang*, Extrapolation accelerated PRESB method for solving a class of block two-by-two linear systems, East Asia J. Appl. Math., 10(3):520-531, 2020.

(11)  Lidan Liao, Guofeng Zhang*, A generalized variant of simplified HSS preconditioner for generalized saddle point problems, Appl. Math. Comput., 346:790–799, 2019.

(12)  Lidan Liao, Guofeng Zhang* M.-Z. Zhu, A block product preconditioner for saddle point problems, J. Comput. Appl. Math., 352:426-436, 2019.

(13)  Lidan Liao, Guofeng Zhang*, A note on  block diagonal  and block triangular preconditioners for complex symmetric linear systems. Numer. Algorithms. 80(4):1143-1154, 2019.

(14)  Lidan Liao, Guofeng Zhang*, The generalized C-to-R method for solving complex symmetric indefinite linear systems, Linear and Multilinear Algebra. 67(9):1727-1735, 2019.

(15)  Lidan Liao, Guofeng Zhang*, L. Zhang, Robust preconditioners for optimal control with time-periodic parabolic equation, Comput. Math. Appl.,76(10):2514-2522, 2018.

(16)  Lidan Liao, Guofeng Zhang*, R.-X. Li, Optimizing and improving of the C-to-R method for solving complex symmetric linear systems. Appl. Math. Lett., 82:79-84, 2018.

(17)  Lidan Liao, Guofeng Zhang*, New variant of the HSS iteration method for weighted Toeplitz regularized least-squares problems from image restoration. Comput. Math. Appl., 73:2482-2499, 2017.

(18)  Lidan Liao, Guofeng Zhang*, Efficient Preconditioner and Iterative Method for Large Complex Symmetric Linear Algebraic Systems. East Asia J. Appl. Math., 7 :530-547, 2017.

(19)  Lidan Liao, Guofeng Zhang*, Preconditioning of complex linear systems from the Helmholtz equation, Comput. Math. Appl., 2016, 72:2473-2458.

(20)  R.-X. Li, Z.-Z. Liang, Guofeng Zhang*, Lidan Liao, L. Zhang, A note on preconditioner for the Ohta-Kawasaki equation. Appl. Math. Lett., 8:132-138, 2018.

(21)  M. Zhang, Guofeng Zhang*, Lidan Liao, Fast iterative solvers and simulation for the space fractional Ginzburg–Landau equations, Comput. Math. Appl., 78(5):1793-1800, 2019.

(22)  Guofeng Zhang*, Lidan Liao, Z.-Z. Liang, On parameterized generalized skew-Hermitian triangular splitting iteration method for singular and nonsingular saddle point problems, Appl. Math. Comput., 2015, 254:340-359.

Email：liaolidan@ncu.edu.cn