杨爱利
发布时间：2025-11-16
杨爱利，男，理学博士，教授，博士生导师，博士后合作导师，海南省拔尖人才。
Email: yangaili@hainnu.edu.cn
研究方向：超大规模方程组的智能求解算法及其应用
教育和工作经历：
2022.01 – 至今，海南师范大学，数学与统计学院，教授
2020.11 – 2021.12，海南师范大学，数学与统计学院，副教授
2014.05 – 2020.10，兰州大学，数学与统计学院，副教授
2016.08 – 2016.10，中国科学院数学与系统科学研究院，计算数学与科学工程计算研究所，访问副教授
2010.07 – 2011.06，新加坡国立大学，工程院，博士后
2008.07 – 2014.04，兰州大学，数学与统计学院，讲师
2007.02 – 2008.01，浙江大学，理学院，访问学习
2003.09 – 2008.06，兰州大学，数学与统计学院，硕博连读，获博士学位
1999.09 – 2003.06，西北师范大学，数学与应用数学，本科
讲授课程：
本科生：高等代数、常微分方程、偏微分方程、数值分析、微分方程数值解、高等数学、线性代数、信息论基础、离散数学
研究生：有限元方法、非线性问题的牛顿法、稀疏矩阵迭代方法
承担的主要科研和教改项目：
1. 主持国家自然科学基金面上项目（热流固耦合问题中超大规模线性方程组的智能快速算法设计与理论分析 ，12571402），2026.01--2029.12;
2. 主持国家自然科学基金地区项目（分块线性方程组的快速算法及其在复合材料性能优化中的应用，12161030），2022.01—2025.12;
3. 主持国家自然科学基金青年项目（一类大规模稀疏奇异鞍点问题的高效求解算法及预处理技术研究，11401281），2015.01—2017.12;
4. 主持国家自然科学基金天元基金（增量未知元方法的若干理论与数值分析，11026064），2011.01—2011.12;
5. 主持海南省自然科学基金（多参数维数分解预处理子及其在电磁场数值模拟中的应用，121RC537），2021.09—2024.06;
6. 主持海南省自然科学基金（含参预处理技术及其在复合材料优化设计中的应用，523MS039），2023.03-2026.02
7. 主持海南省高等学校教育教学改革研究项目（应用问题驱动的线性代数教学策略研究，Hnjgzc2023-8），2023.01-2025.12
8. 参加国家重点研发计划（高寒内陆盆底水循环全过程高效利用与生态保护技术，2018YFC0406600），2019.01—2021.12;
近期学术报告：
1. The 11th China-Russia Conference on Numerical Algebra with Applications, 中南大学，Changsha, July 25–30, 2025. (大会邀请报告，Session Chair)
2. The Eighth International Conference on Numerical Algebra and Scientific Computing (NASC 2025), 西北大学，July 18-24, Xi’an, PR China.（大会报告， Session Chair）
3. International Confrence on Matrix Analysis and its Applications, June 30 - July 2, 2025, Novi Sad, Serbia （分组报告）
4. Applied Linear Algebra 2025 - in honor of Zhong-Zhi Bai, July 3 - 5, 2025, Novi Sad, Serbia （分组报告）
5. 华南数值代数及其应用学术会议，肇庆， 2025年5月23-26日（大会邀请报告）
6. The International Workshop on Matrix Computations --- Learning from Masters, 浙江大学, Hangzhou, P.R. China, April 25--29, 2025. （大会邀请报告）
7. 2025数值代数与快速算法中青年研讨会，湘潭大学， 2025年1月13-16日 （分组报告）
8. The 10th China-Russia Conference on Numerical Algebra with Applications, Far Eastern Federal University, Vladivostok, Russia, July 15–20, 2024. (大会报告)
9. The 14th International Conference on Matrix Theory and its Applications, Qingdao, July 21-26, 2023 （大会报告，Session Chair）
10. 数值代数前沿问题研讨会，北京信息科技大学，2022年10月22-24日（会议邀请报告）
11. 应用数值代数前沿研讨会，北京理工大学， 2022年8月27-29日（会议邀请报告）
主要学术论文：
[35] Rui Liu, *Ai-Li Yang, Jian Ma. Maximal residual coordinate descent method with k-means clustering for solving large linear least-squares problems, Numerical Algorithms (2025) https://doi.org/10.1007/s11075-025-02036-6
[34] Huan-Li Chen, *Ai-Li Yang, Rui Liu, Yang Cao. K-means clustering based maximal residual (block) Kaczmarz methods for solving consistent system of linear equations, Computational and Applied Mathematics 44(2025) 307
[33]*Ai-Li Yang, Yan-Xia Dai, Kai-Hua Wang, Zheng-Cheng Zhang. Minimum residual shift-splitting iteration method for non-Hermitian positive definite and positive semidefinite linear systems, Applied Mathematics Letters 159 (2025) 109254
[32] Yan-Xia Dai, Ren-Yi Yan, *Ai-Li Yang. Minimum residual BAS iteration method for solving the system of absolute value equations, Communications on Applied Mathematics and Computation 7 (2025) 1815-1825
[31] Shi-Ping Tang, *Ai-Li Yang, Jian-Lin Zhou, Yu-Jiang Wu. R. Chan's circulant-based approximate inverse preconditioning iterative method for solving second-order space fractional advection–dispersion equations with variable coefficients, Computational and Applied Mathematics 43 (2024) 97
[30] Wei-Hong Zhang, *Ai-Li Yang, Yu-Jiang Wu. Novel minimum residual MHSS iteration method for solving complex symmetric linear systems, Applied Mathematics Letters 148(2024) 108869
[29] Ai-Li Yang, Jun-Li Zhu, Yu-Jiang Wu. Multi-parameter dimensional split preconditioner for three-by-three block system of linear equations, Numerical Algorithms 95 (2024) 721–745
[28] Shi-Ping Tang, *Ai-Li Yang. Banded M-matrix splitting preconditioner for Riesz space fractional reaction-dispersion equation. Journal of Computational Mathematics 42 (2024) 372–389
[27] Ai-Li Yang, Xue-Qi Chen. The partially greedy randomized extended Gauss-Seidel method for solving the large linear systems. East Asian Journal on Applied Mathematics 12 (2022) 874-890.
[26] Jun-Li Zhu, *Yu-Jiang Wu, *Ai-Li Yang. A two-parameter block triangular preconditioner for double saddle point problem arising from liquid crystal directors modeling. Numerical Algorithms 89 (2022), no. 3, 987–1006
[25] Jun-Li Zhu, *Ai-Li Yang, Yu-Jiang Wu. A parameterized deteriorated PSS preconditioner and its optimization for nonsymmetric saddle point problems, Computers and Mathematics with Applications 79 (2020) 1420--1434
[24] Yue Hao, *Ai-Li Yang, Yu-Jiang Wu, How to compute the minimum norm least squares solution of singular linear system by using the preconditioned HSS method? Numerical Algorithms 83(2020) 1205-1221
[23] *Ai-Li Yang. On the convergence of the minimum residual HSS iteration method, Applied Mathematics Letters, 94(2019) 210--216
[22] *Ai-Li Yang, Yang Cao, Yu-Jiang Wu. Minimum residual Hermitian and skew-Hermitian splitting iteration methods for non-Hermitian positive definite linear systems, BIT Numerical Mathematics, 59(2019) 299--319
[21] Yue Hao, *Ai-Li Yang, *Yu-Jiang Wu, How to compute the optimal parameters of the parameterized PMHSS preconditioner? Applied Mathematics Letters, 86 (2018) 8--13
[20] *Ai-Li Yang, Scaled norm minimization method for computing the parameters of the HSS and the two-parameter HSS preconditioners, Numerical Linear Algebra with Applications,25 (2018) e2169
[19] Sheng-Wei Zhou, *Ai-Li Yang, Yu-Jiang Wu. A relaxed block-triangular splitting preconditioner for generalized saddle-point problems. International Journal of Computer Mathematics, 94(2017) 1609--1623
[18] Yan Dou, *Ai-Li Yang, Yu-Jiang Wu. Modified parameterized inexact Uzawa method for singular saddle-point problems. Numerical Algorithms, 72 (2016) 325--339
[17] Sheng-Wei Zhou, *Ai-Li Yang, Yan Dou, Yu-Jiang Wu. The modified shift-splitting preconditioners for nonsymmetric saddle-point problems. Applied Mathematics Letters, 59 (2016) 109--114
[16] *Ai-Li Yang, Yan Dou, Yu-Jiang Wu and Xu Li. On generalized parameterized inexact Uzawa methods for singular saddle-point problems. Numerical Algorithms, 69 (2015) 579--593
[15] *Ai-Li Yang, Yu-Jiang Wu, Zheng-Da Huang and Jin-Yun Yuan. Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems. Applied Mathematical Modelling, 39 (2015) 5436--5451
[14] *Ai-Li Yang, Guo-Feng Zhang and Yu-Jiang Wu. General constraint preconditioning iteration method for singular saddle-point problems. Journal of Computational and Applied Mathematics, 282 (2015) 157--166
[13] *Ai-Li Yang, Xu Li and Yu-Jiang Wu. On semi-convergence of the Uzawa--HSS method for singular saddle-point problems. Applied Mathematics and Computation, 252 (2015) 88--98
[12] Wei-Hong Zhang, *Ai-Li Yang, Yu-Jiang Wu. Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for a class of linear matrix equations. Computers & Mathematics with Applications, 70 (2015) 1357--1367
[11] *Ai-Li Yang and Yu-Jiang Wu. The Uzawa--HSS method for saddle-point problems. Applied Mathematics Letters, 38 (2014) 38--42
[10] *Ai-Li Yang, Yu-Jiang Wu and Zhen-Jian Xu. The semi-convergence properties of MHSS method for a class of complex nonsymmetric singular linear systems. Numerical Algorithms, 66 (2014) 705--719.
[9] *Ai-Li Yang and Yu-Jiang Wu. Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes. Journal of Applied Mathematics and Computing, 44 (2014) 379--395.
[8] Xu Li, *Ai-Li Yang and Yu-Jiang Wu. Lopsided PMHSS iteration method for a class of complex symmetric linear systems. Numerical Algorithms, 66 (2014) 555--568.
[7] Yan Dou, *Ai-Li Yang and Yu-Jiang Wu. On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems. Linear Algebra and its Applications, 459 (2014) 493--510.
[6] Xu Li, *Ai-Li Yang and Yu-Jiang Wu. Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for saddle-point problems. International Journal of Computer Mathematics, 91 (2014) 1224--1238.
[5] *Ai-Li Yang, Lun-Ji Song and Yu-Jiang Wu. Algebraic preconditioning analysis of the multilevel block incremental unknowns method for anisotropic elliptic operators. Mathematical and Computer Modelling, 57 (2013) 512--524.
[4] *Ai-Li Yang, Yu-Jiang Wu, Yong-Qing Wu and Da-Wei Ren. Bi-parameter incremental unknowns ADI iterative methods for elliptic problems. Numerical Algorithms, 60 (2012), 483--499.
[3] *Ai-Li Yang and *Yu-Jiang Wu. Newton-MHSS methods for solving systems of nonlinear equations with complex symmetric Jacobian matrices. Numerical Algebra, Control and Optimization, 2(4) (2012), 839--853.
[2] Li-Nan Sun, Yu-Jiang Wu, *Ai-Li Yang, Uniform convergence analysis of finite difference approximations for advection-reaction-diffusion problem on adaptive grids, International Journal of Computer Mathematics, 88 (2011), 3292-3307.
[1] Ai-Li Yang, Jing An, Yu-Jiang Wu. A generalized preconditioned HSS method for non-Hermitian positive definite linear systems. Applied Mathematics and Computation, 216 (2010) 1715-1722.