杨爱利
杨爱利，男，理学博士，教授，博士生导师，海南省拔尖人才，美国数学会评论员。
Email: yangaili@hainnu.edu.cn
研究方向：数值代数及其应用。
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，研究员
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
承担的主要项目：
1. 主持国家自然科学基金（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;
2. 主持国家自然科学基金（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;
3. 主持国家自然科学基金（增量未知元方法的若干理论与数值分析，11026064），2011.01—2011.12;
4. 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;
5. 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
6. 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
7. 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;
第一或通讯作者 SCI 论文：
[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 (2023) https://doi.org/10.1007/s11075-023-01587-w
[28] Shi-Ping Tang, *Ai-Li Yang. Banded M-matrix splitting preconditioner for Riesz space fractional reaction-dispersion equation. Journal of Computational Mathematics (2023) https://doi.org/10.4208/jcm.2203-m2020-0192
[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.