1. 数值代数及其应用

2. 线性与非线性代数系统的预条件方法

3. 矩阵理论在信息学科中的应用(信号与图像处理、文本检索、机器学习、压缩感知等)

4. 低秩逼近及稀疏处理的数学理论与方法

1. 1986.9-1993.6, 陕西师范大学, 基础数学(本科)，基础数学(硕士)

2. 1996.9-1999.12, 西安交通大学, 应用数学(博士)

3. 2003.8-2004.1, 英国曼彻斯特大学, 访问学者

4. 1993.9-至今, 在西安交通大学数学与统计学院工作

2008年起主持、参与的科研项目：

1.国家自然科学研究基金面上项目: 多层次结构化矩阵低秩逼近与稀疏表示方法建模与算法研究（11671318）, 2017.01-2020.12,主持。

2. 国家自然科学研究基金面上项目：大规模稀疏代数系统的预条件方法和降阶模型研究(11171270)，2012.01-2015.12，主持。

3. 陕西省自然科学研究基金项目：大规模稀疏代数系统的数值解法(2014JM1029)，2014.01-2016.12，主持。

4.陕西省自然科学研究基金项目：求解大规模代数系统的预条件方法研究(2007A16)，2007.01-2009.12，主持。

5. 中央高校基本科研业务费学科交叉重点项目：同态加密基础研究(xkjc2014008)，2014.01-2016.12，共同主持。

6. 中央高校基本科研业务费前沿新兴、学科综合交叉类科研项目：图像识别中带稀疏度约束条件的非负矩阵约简分解算法的研究，2011.01-2012.12，主持。

7. 国家自然科学研究基金面上项目：大型复杂系统瞬态模拟的计算理论与并行实现（10771168），2008.01-2010.12，参加。

8. 国家自然科学研究基金青年项目：对称张量特征值问题的高性能算法、理论及应用（11201362），2014.01-2016.12，参加

近5年发表的科研论文

[1] Jianchao Bai, Jicheng Li, Zhie Wu, Several variants of Primal-dual hybrid gradient algorithm with applications. Numerical Mathematics: Theory, Methods and Applications. Vol. 13(1), 176-199, 2020. 

[2] Pingfan Dai,Jicheng Li,Jianchao Bai,Liqiang Dong,Notes on New Error Bounds for Linear Complementarity Problems of Nekrasov Matrices, B-Nekrasov Matrices and QN-Matrices,Numer.Math.Theor.Meth.Appl.Vol.12(4),pp.1191-1212,2019.

[3] Nana Wang,Jicheng Li,A class of new extended shift-splitting preconditioners for saddle point problems,Journal of Computational and Applied Mathematics, Vol.357, 123–145,2019.

[4] Jianchao Bai, Jicheng Li, Pingfan Dai, et al. General parameterized proximal point algorithm with applications in the statistical learning, International Journal of Computer Mathematics,96(1): 199-215(2019)  (SCI)

[5] Liqiang Dong, Jicheng Li, Guo Li. The double deflating technique for irreducible singular M-matrix algebraic Riccati equations in the critical case [J]. Linear and Multilinear Algebra, Vol. 67(8), 1653-1684, 2019 (SCI)

[6] Xu Kong,Jicheng Li,Xiaolong Wang,New estimations on the upper bounds for the nuclear norm of a tensor,Journal of Inequalities and Applications, 2018:282, https://doi.org/10.1186/s13660-018-1861-1

[7] Xiangxiang Zhu,Jicheng Li，Zhuosheng Zhang，Nonnegative matrix factorization with band constraint,Journal of Computational Mathematics,Vol.36(6), 761-775, 2018.

[8] Jianchao Bai, Hongchao Zhang, Jicheng Li, A parameterized proximal point algorithm for separable convex optimization, Optimization Letters, 12(7):1589-1608 (2018) (IF: 1.013, SCI)

[9] Jianchao Bai, Jicheng Li, Junkai Deng. A class of multilevel structured low-rank approximation arising in material processing, International Journal of Computer Mathematics, 95(2): 329-340 (2018) (IF: 1.054)

[10] Jianchao Bai,Jicheng Li and Fengmin Xu, Accelerated method for optimization over density matrices in quantum state estimation., Linear and Multilinear Algebra, 66(5):869-880 (2018) (IF: 0.835,SCI)

[11] Jianchao Bai,Jicheng Li,Fengmin Xu and Pingfan Dai,A novel method for a class of structured low rank minimization with equality constraint, Journal of Computational and Applied Mathematics, 330:475-487 (2018) (IF: 1.632)

[12] Jianchao Bai, Jicheng Li, Fengmin Xu, Hongchao Zhang, Generalized symmetric ADMM for separable convex optimization, Computational Optimization and Applications, 70(1):129-170 (2018) (IF: 1.413)

[13] Jicheng Li,Guiling Zhang,Nana Wang,Guo Li and Chengyi Zhang, Construction of full H-matrices with the given eigenvalues based on the Givens matrices, Journal of Applied Analysis and Computation, 2018.02, 8(1), pp.81-104. (SCI)

[14] Jicheng Li,Liqiang Dong and Guo Li, A class of inverse eigenvalue problems for real symmetric banded matrices with odd bandwidth, Linear Algebra and its Applicaitions, 2018.03, 541(15), pp.131-162. (SCI)

[15] Jianchao Bai,Jicheng Li and Pingfan Dai, Novel alternating update method for low rank approximation of structured matrices, Applied Numerical Mathematics, 121:223-233 (2017) (IF: 1.263)

[16] Jicheng Li,Zisheng Liu and Guo Li, Lower bounds for the low-rank matrix approximation, Journal of Inequalities and Applications, 2017.11, 288. SCI: FN6OR

[17] Nana Wang, Jicheng Li, Guo Li, Xu Kong, Variants of the Uzawa method for three-order block saddle point pboblem, Applied mathematics and computation, Vol.305, 188-202,2017

[18] Zisheng Liu, Jicheng Li, Guo Li, Jianchao Bai, Xuenian Liu, A new model for sparse and low-rank matrix decomposition,  Journal of Applied Analysis and Computation, Vol.7(2),600-616,2017

[19] Pingfan Dai, Jicheng Li, Yaotang Li, Jianchao Bai, A general preconditioner for linear complementarity problem with an M-matrix, Journal of Computational and Applied Mathematics, Vol.317, 100-112,2017.

 [20] Zisheng Liu, Jicheng Li, Wenbo Li, Pingfan Dai, A modified greedy analysis pursuit algorithm for the cosparse analysis model, Numerical Algorithm, DOI 10. 1007/s110075-016-0174-z, 2016.

[21] Pingfan Dai, Jicheng Li, Yaotang Li, Chengyi Zhang, Error bounds for linear complementarity problem of QN-matrices, Calcolo, 53：647-657, 2016. SCI: EC7JS

[22] Jicheng Li, Ziya Mei, Xu Kong, A new version of the smith method for solving sylvester equation and discrete-time sylvester equation. Journal of Applied Analysis and Computation, Vol. 6(2), 582-599, 2016. SCI: DZ3XE

[23] Chengyi Zhang, Fengmin Xu, Zongben Xu, Jicheng Li, General H-matrices and their Schur complments, Frontiers of Mathematics in China, 9(5): 1141-1168. SCI: AN2NZ

[24] Jicheng Li, Zisheng Liu, Wenbo Li, The reweighted greedy analysis pursuit algorithm for the cosparse analysis model, IEEE. 2015 11th international conference on natural computation (DOI: 10.1109/ICNC.2015.7378131; Article number: 7378131), 1018-1022(ICNC, 2015),2016

[25] Jicheng Li, Nana Wang, Xu Kong, Uzawa-low method and preconditioned Uzawa-low method for three-order block saddle point problem, Applied mathematics and computation, 2015,269,626-636.SCI:CS0SC