李继成

西安交大教授

李继成，男，中共党员，甘肃民勤人，博士，现任西安交通大学数学与统计学院副院长、教授、博士生导师。

研究领域

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

人物经历

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

科研项目

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

科研成果

近5年发表的科研论文

[1] 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. DOI:10.11948/2018.81.

[2] Jianchao Bai,Jicheng Li,Fengmin Xu and Pingfan Dai, A novel method for a class of structured low-rank minimizations with equality constraint, Journal of Computational and Applied Mathematics, 2018.03, Vol. 330, pp.475-487. SCI:FN1WX WOS:000415783000034

[3] 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. DOI: 10.1016/j.laa.2017.12.004

[4] Jianchao Bai, Jicheng Li, Pingfan Dai, Jiaofen Li, General parameterized proximal point algorithm with applications in the statistical learning. International Journal of Computer Mathematics. (2017) (SCI)

[5] Jianchao Bai, Jicheng Li, Fengmin Xu, Hongchao Zhang, Generalized symmetric ADMM for separable convex programming. Computational Optimization and Applications, (2017) DOI:10.1007/s10589-017-9971-0 (SCI)

[6] Jianchao Bai,Jicheng Li and Pingfan Dai, Novel alternating update method for low rank approximation of structured matrices, Applied Numerical Mathematics, 2017.11, Vol.121, pp.223-233. SCI:FG3CG WOS:000410013800014

[7] 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 WOS:000416135700001

[8] Jianchao Bai,Jicheng Li and Fengmin Xu, Accelerated method for optimization over density matrices in quantum state estimation, Linear and Multilinear Algebra, 2017.05. SCI. DOI: 10.1080/03081087.2017.1330864

[9] Jianchao Bai,Hongchao Zhang and Jicheng Li, A parameterized proximal point algorithm for separable convex optimization, Optimization Letters, 2017.09. SCI. DOI: 10.1007/s11590-017-1195-9

[10] Jianchao Bai,Jicheng Li and Junkai Deng, A class of multilevel structured low rank approximation arising in material processing, International Journal of Computer Mathematics, 2017.02. SCI. DOI: 10.1080/00207160.2017.1285020

[11] 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

[12 ]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

[13] 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.

[14] 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.

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

[16] 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

[17] 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

[18] 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

[19] 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.

[20] Jicheng Li, Jing Wu, Xu Kong, Application and generalization of eigenvalues perturbation bounds for Hermitian block triangular matrices, Journal of applied mathematics and physics, 2014,2,60-70.

[21] Chengyi Zhang, Yan Zhu, Shuanghua Luo, Jicheng Li, On Generalized schur complement of nonsingular diagonally dominant matrices and general H-matrices, Electronic Journal of Linear Algebra, Volume 23, pp. 801-814, IDS:021CL.

[22] Cheng-yi Zhang ,Shuanghua Luo, Jicheng Li, Fengmin Xu, An extension of the class of matrices arising in the numerical solution of pdes,Electronic Journal of Linear Algebra ,Vol.23(2012), 422-444,IDS:982ME.

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