科研项目

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项目编号 项目名称 项目来源 起讫时间 承担角色 项目类别
12171384 张量结构化互补问题的可解性理论和数值解算法的研究 国家自然科学基金面上项目 2022-01~2025-12 负责人 纵向项目
11671318 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 国家自然科学基金面上项目 2017-01~2020-12 负责人 纵向项目
2014JM1029 大规模稀疏代数系统的预条件数值解法 陕西省自然科学研究基金 2014-1~ 负责人 纵向项目
11201362 对称张量特征值问题的高性能算法、理论及应用 国家自然科学基金 2014-01~2016-12 骨干成员 纵向项目
xkjc2014008 同态加密基础研究 中央高校基本科研业务费学科交叉重点项目 2012-1~ 负责人 纵向项目
11171270 大规模稀疏代数系统的预条件方法和降阶模型研究 国家自然科学基金面上项目 2012-01~2015-12 负责人 纵向项目
xjj20100114 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 中央高校基本科研业务费专项 2010-1~ 负责人 纵向项目
** 鞍点问题的预条件方法和谱估计 西安交通大学研究生创新项目 2009-1~ 负责人 纵向项目
** 矩阵理论在网页信息检索中的应用研究 西安交通大学研究生创新项目 2008-1~ 负责人 纵向项目
2007A16 求解大规模代数系统的预条件方法研究 陕西省自然科学研究基金 2008-1~ 负责人 纵向项目
10771168 大型复杂系统瞬态模拟的计算理论与并行实现 国家自然科学基金项目 2008-1~ 骨干成员 纵向项目
** 大规模代数系统的预条件方法研究 西安交通大学研究生创新项目 2007-1~ 负责人 纵向项目
** 不完全矩阵的补问题及相关算法 西安交通大学自然科学研究基金 2004-1~ 负责人 纵向项目
** 符号系统的特征识别及相关算法 西安交通大学博士基金 2002-1~ 负责人 纵向项目
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近期部分科研论文（2005年起）

2024年     

       [69] Zhuling Jiang, Jicheng Li, Slice tensor splitting method for solving tensor equation,Applied mathematics and computation, 463:128347,2024        

       [68] Dan Wang, Jicheng Li, Relaxation modulus-based matrix splitting iteration method for vertical linear complementarity problem,Journal of computational and applied mathematics, 437:115430,2024   

       [67] Pingfan Dai,Jianchao Bai, Jicheng LI, A General Preconditioner for Tensor Complementarity,Journal of scientific computing, 98:3,2024   

2023年     

        [66] Wang D, Li J.-C . The nonlinear lopsided pss-ike and hss-ike modulus-based matix splitting iteration methods for horizontal linear complementarity problem. Comput. Appl. Math. 2023:42(7):299        

        [65] Ge Li, Jicheng LI, Improved fixed point iterative methods for tensor complementarity problems, Journal of optimization theory anf application, 199:787-804,2023        

        [64] Liqiang Dong, Jicheng LI, The solutions of the quaternion matrix equation AXε+BXδ=0,Linear algebra and its application, 678:227-267,2023  

        [63] Nana Wang, Jicheng Li,A class of preconditioners based on symmetric-triangular decomposition and matrix splitting for generalized saddle point problems, IMA Journal of numerical analysis, 43:2998-3025,2023    

        [62]  Zhuling Jiang, Jicheng Li, A new preconditioned AOR-type method for M-tensor equation, Applied numerical mathematics, 189:39-52,2023

2022年     

        [61]  Ge Li, Jicheng Li, QN-tensor and tensor complementarity problem, Optimization Letters, 16:2729-2751,2022

        [60]  Nana Wang, Jicheng Li, On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems, Journal of Computational and Applied Mathematics, Vol.405, 113959, 2022.

     [59]  Guo Cheng, Ji-Cheng Li, Class of Uzawa-NPHSS iteration method for solving nonsingular and singular saddle point problems, Linear and Multilinear Algebra,  Vol.70(14),2706-2738,2022

2021年

        [58]  Zhuling Jiang, Jicheng Li, Solving tensor absolute value equation, Applied Numerical Mathematics, 170: 255–268, 2021.

        [57]  Jicheng Li, Wenbo Li, Xuenian Liu, An efficient nonmonotone projected Barzilai-Borwein method for nonnegative matrix factorization with extrapolation, International Journal of Computer Mathematics, 98(1),11-27,2021.  

      [56]  Liqiang Dong, Jicheng Li, Xuenian Liu, A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations, Numerical Mathematics-Theory Methods and Applications,14:650-691, 2021.

      [55]  Liqiang Dong, Jicheng Li, A new class of complex nonsymmetric algebraic Riccati equations with its  w-comparison matrix being an irreducible singular M-matrix, International Journal of Computer Mathematics, 98:75-105, 2021.

2020年   

     [54]  Liqiang Dong, Jicheng Li, A class of complex nonsymmetric algebraic Riccati equations associated with H-matrix, Journal of Computational and Applied Mathematics, Vol.368:112567 , 2020.

      [53]  Guo Cheng, Jicheng Li, A new preconditioner for solving weighted Toeplitz least squares problems, Mathematics Applicata, Vol.33(1), 172-185, 2020.

      [52]  Wenbo Li, Jicheng Li, Xuenian Liu, Liqiang Dong, Two fast vector-wise update algorithms for orthogonal nonnegative matrix factorization with sparsity constraint, Journal of Computational and Applied Mathematics, Vol.375: 112785, 2020.

      [51] Jicheng Li, Ge Li, Error bounds for linear complementarity problems of S-QN matrices, Numerical Algorithms, Vol.83, 935-955, 2020.    

      [50]  Jicheng Li, Wenbo Li, Xuenian liu,  An adaptive nonmonotone projected Barzilai-Borwein gradient mathod with active set prediction for Nonegative matrix factorization, Numerical Mathematics: Theory, Methods and Applications. Vol.13(2), 516-538,2020.    

      [49]  Guo Cheng, Jicheng Li, A relaxed upper and lower triangular splitting precondtioner for the linearized Navier-Stokes equation, Computers and Mathematics with Applications,Vol.80,43-60,2020. 

      [48]  Zisheng Liu, Jicheng Li, Xuenian Liu, A separable surrogate function method for sparse and low-rank matrices decomposition, Optimization, Vol.69(5),1117-1149.2020. 

      [47]  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. 

2019年

     [46]  Jianchao Bai, Xiaokai Chang, Jicheng Li, Fengmin Xu, Convergence revisit on generalized symmetric ADMM, Optimization, Vol.70, 149-168, 2019.

     [45] 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.

      [44]  Pingfan Dai,Jicheng Li,Jianchao Bai,Liqiang Dong, New error bounds for linear complementarity problems of S-nekrasov matrices and B-S-Nekrasov matrices,Computational and Applied Mathematics,Vol.38:61,2019.

      [43]  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.

      [42]  Pingfan Dai, Jicheng Li, Jianchao Bai, Jinming Qiu, A preconditioned two-step modulus-based matrix splitting  iteration method for linear complementarity problem,  Applied Mathematics and Computation,Vol.348, 542-551,2019  (SCI) 

      [41] 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)

      [40] 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)

2018年

      [39]  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
      [38]. Xiangxiang Zhu,Jicheng Li，Zhuosheng Zhang，Nonnegative matrix factorization with band constraint,Journal of Computational Mathematics,Vol.36(6),761-775,2018.
      [37]. 刘子胜, 李继成, 白建超. 基于受限等距性质的矩阵低秩稀疏逼近误差界[J]. 高等学校计算数学学报,40(2) :146-159(2018) .
      [36]. 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)
      [35]. 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,SCI)
      [34]. 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)
      [33]. 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, SCI)
      [32]. 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, SCI)
      [31]. 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. (SCI)

      [30]. 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

2017年
      [29]. 白建超, 李继成, 李文博. 一类Stiefel流形上极小化问题的低秩逼近解,高等学校计算数学学报,39(1) :31-42(2017) 
      [28]. 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, SCI)
      [27]. 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, 2017(1):288
      [26]. 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
      [25]. 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

      [24]. 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.

2016年
      [23]. 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.
      [22]. Pingfan Dai, Jicheng Li, Yaotang Li, Chengyi Zhang, Error bounds for linear complementarity problem of QN-matrices, Calcolo, 53：647-657,2016.SCI:EC7JS
      [21]. 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
      [20]. 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

      [19]. 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 

2015年前
      [18]. 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.
      [17]. 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.
      [16]. 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.
      [15]. 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.
      [14]. 李继成, 蒋耀林, 预条件IMGS迭代方法的比较定理, 数学物理学报, 2011,31A(4), 880-886.
      [13]. Li Jicheng, Chen Feixu, Preconditioned alternating-direction iterative method for saddle point problems, Proceeding of the Sixth International Conference of Matrices and Operators, Chendu, China, 2011, Vol.2, 9-12.
      [12]. Li Jicheng, Jiang Yaolin, Generalized Tridiagonal Preconditioners for Solving Linear Systems, International  Journal of Computer Mathematics Vol.87,No.14,2010, 3297–3310, SCI:682MZ.
      [11]. Li Jicheng,Li Wei, The Optimal Preconditioner of Strictly Diagonally Dominant Z-matrix, Acta Mathematicae Applicatae Sinica, 2008, 24(2),303-310. SCI: 297DO.
      [10]. Jianzhou Liu , Jicheng Li,Zhuohong Huang,Xu Kong,Some properties of Schur complements and diagonal-Schur complements of  diagonally dominant matrices, Linear Algebra and its Applications,428 (2008) 1009–1030.(SCI：264RS, Corresponding author).
      [9]. Jicheng Li , Xu Kong, Optimal parameters of GSOR-like methods for solving the augmented linear systems, Applied Mathematics and Computation, 2008, Vol. 204, 150–161.(SCI: 350AA).
      [8]. 李继成，一种实用的新预条件方法，数学物理学报，2008，28A(1)，24-34.
      [7]. Jicheng Li, Wei Li and Xu Kong,A New Algorithm Model for Solving Fuzzy Linear Systems,Southeast Asian Bulletin of Mathematics, 34(2010),121–132.
      [6]. Xiao-wei Fang,Ji-cheng Li Nonnegative Matrix Factorization method based on Divergence in Orthogonal Subspace,Proceedings of the Ninth International Conference on Matrix Theory and Its Applications Shanghai, P.R. China, 2010, Vol.4,pp.21-24.
      [5]. 孔旭,李继成,屈会丽,块中心对称H矩阵的几个定理,高等学校计算数学学报,31(3)(2009), 257-265.
      [4]. Li Ji-cheng, Kong Xu, Li Wei, Some Comparison Results with a New Effective Preconditioner for Solving Linear Systems, Chinese Journal of Engineering Mathematics,26(2009),389-396.
      [3]. Jicheng Li, Huili Qu and Xu Kong, The improved PageRank matrix and the new convergence criterion, Proceedings of the Eighth International Conference  on Matrix Theory and Its Applications Taiyuan, P.R. China, July 16-18, 2008, 164-167.(ISTP：BIJ72).
      [2]. Wei Li, Jicheng Li, Comparison results between preconditioned  Jacobi and the AOR iterative methods, J. Chinese Univ. Numerical Mathematics, Vol.16(4), 313-319. 2007.
      [1]. 李继成，黄廷祝，Z-矩阵的预条件方法，数学物理学报，2005，Vol.25A(1)，5-10.