基本信息

姓名：张娟

职称：教授

电子信箱：zhangjuan@xtu.edu.cn

办公室：数学楼 B-205

个人简介

博士，教授，博士生导师，beat365官方网站副院长，“智能计算与信息处理”教育部重点实验室常务副主任，韶峰学者学术骨干。湖南省湖湘青年英才，湖南省青年骨干教师培养对象，中国高等教育学会教育数学专业委员会第 5 届副秘书长、常务理事，湖南省运筹学会第3届常务理事，湖南省数学会第12届理事。2021年、2015年赴澳门大学访问。2023年赴新加坡国立大学访问。2018年赴新加坡国立大学访问1年。

主持国家级和省部级以上项目 10余项，含国自科面上项目、青年项目，湖湘青年英才，博士后科学基金面上项目一等资助，省教育厅重点项目、优秀青年项目、省自科基金青年项目等。作为核心成员参与国家重点研发计划、军科委GF项目、工业软件内核研发及应用验证产业基础共性技术中心项目多项。

主要从事数值代数、控制理论、优化算法等方面的研究。在控制领域三大顶刊之一Automatica，计算数学顶级期刊 SIAM J. Sci. Comput.、J. Comput. Phys.，国内外重要学术期刊CSIAM Tran. Appl. Math.、J. Comput. Appl. Math.、Linear Algebra Appl.等发表和接收发表SCI论文50余篇。

荣获湖南省教学成果奖二等奖（排名第4）、beat365官方网站教学成果奖一等奖（排名第4）。指导硕士生获湖南省优秀硕士论文，指导博士生、硕士生获国家奖学金。指导研究生获beat365官方网站校长奖特等奖。曾获宝钢优秀学生特等奖（全国仅51人）。

主讲课程

高等代数、矩阵论、线性代数、高等数学

高等代数课程中心负责人，主持高等代数在线精品课程：高等代数—智慧树网 (zhihuishu.com)

研究方向

矩阵计算、线性系统求解、矩阵优化、AI for Science

招生：

博士后：数学一级学科

博士研究生：数学一级学科，矩阵分析及应用

学术型硕士研究生： 数学一级学科，矩阵分析及应用

专业学位硕士研究生：应用统计

学习工作经历

教育经历：

2009.09-2013.06   beat365官方网站数学院   应用数学     博士

2006.09-2009.06   beat365官方网站数学院  运筹学与控制论  硕士

2002.09-2006.06   beat365官方网站数学院  信息与计算科学  本科

职称经历：
2020.12-至今     beat365官方网站     教 授

2015.12-2020.12   beat365官方网站     副教授

2013.07-2015.12   beat365官方网站     实验师

工作经历：
2023.08-2023.08   新加坡国立大学数学系         访问学者

2023.01-2023.01   新加坡国立大学数学系         访问学者 

2021.07-2021.08   澳门大学数学系             访问学者

2017.12-2018.12   新加坡国立大学数学系         访问学者

2015.08-2015.09   澳门大学数学系             访问学者

2014.12-2017.11   国防科学技术大学理学院         博士后

获奖情况

2023年，指导博士生、硕士生获beat365官方网站校长奖优秀奖

2022年，湖南省教学成果奖二等奖（排名第4）

2022年，beat365官方网站教学成果奖一等奖（排名第4）

2022年，指导硕士生获湖南省优秀硕士论文

2022年，beat365官方网站“芙蓉百岗明星”

2022年，指导硕士生获国家奖学金

2021年，湖南省湖湘青年英才

2021年，beat365官方网站优秀党员

2021年，指导博士生获国家奖学金

2021年，指导研究生获beat365官方网站优秀硕士论文奖

2020年，湖南省青年骨干教师培养对象

2020年，指导研究生获beat365官方网站第二十五届研究生校长奖特等奖

2020年，beat365官方网站优秀女教职工

2020年，beat365官方网站优秀班主任

2015年，首届全国高校数学微课程教学设计竞赛华中赛区二等奖

2015年，beat365官方网站青年教师教学比赛三等奖

2015年，beat365官方网站优秀研究生班主任

2011年，宝钢优秀学生特等奖  

2011年，湖南省优秀硕士论文奖

科研项目

主持科研项目：

2018.01--2021.12， 国家自然科学基金面上项目：基于Riccati方程和LMI的控制系统鲁棒稳定性研究

2015.01--2017.12， 国家自然科学基金青年项目：控制系统的约束矩阵方程及其高效数值算法

2021.09--2023.12， 湖南省教育厅重点项目：非线性矩阵方程的数学分析及其高效算法研究

2018.09--2020.12， 湖南省教育厅优秀青年项目：矩阵不等式在Riccati矩阵方程中的应用

2017.06--2019.06， 湖南省自然科学基金青年项目：控制系统中Riccati矩阵方程的数学分析及其高效算法研究

2015.09--2017.09， 博士后科学基金面上资助一等资助项目：约束矩阵方程及其迭代算法

2015.09--2017.09， 湖南省教育厅一般项目：线性系统的稳定性分析及其矩阵降阶

2013.09--2019.09， beat365官方网站博士科研启动项目：控制系统中的矩阵方程的约束解及其数值算法

2011.09--2013.06， 湖南省研究生创新基金项目：控制理论中的某些矩阵方程的解及其数值算法

主持教改项目：

2022.09--2024.09， 湖南省教改项目重点项目：“一流专业”背景下建设数学与应用数 学专业的探索与实践

2019.09--2022.09， 湖南省教改项目：“双一流”背景下地方本科院校数学与应用数学专业培养计划探索与实践

论文专著

[1].Kai Jiang, Juan Zhang*, and Qi Zhou. Multitask kernel-learning parameter prediction method for solving time-dependent linear systems, CSIAM Transactions on Applied Mathematics, 4(4), 672-695, 2023 (SCI).

[2].Juan Zhang, and Xuechan Chen. Z-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglement, Acta Applicandae Mathematicae, 186, 10, 2023 (SCI).

[3].Juan Zhang, Shifeng Li, Kai Jiang*. Numerical methods for the mass-conserved Ohta-Kawasaki equation, Advances in Applied Mathematics and Mechanics, accepted, 2023 (SCI).

       [4].Kai Jiang, Shifeng Li, Juan Zhang*. High-accuracy numerical methods and convergence analysis for Schrödinger equation with incommensurate potentials, https://arxiv.org/abs/2312.16462,  2023.

[5].Kai Jiang, Xuehong Su, Juan Zhang*, A general alternating-direction implicit framework with Gaussian process regression parameter prediction for large sparse linear systems, SIAM Journal on Scientific Computing, 44 (4), A1960-A1988, 2022 (SCI).

[6].Juan Zhang, Shifeng Li, Xiangyang Gan, Solution bounds and numerical methods of the unified algebraic Lyapunov equation, Mathematics, 10(16), 2858, 2022 (SCI).

[7].Juan Zhang, Jianzhou Liu, Fangfang Luo, A class of fixed point iteration for the coupled algebraic Riccati equation, Journal of Applied Mathematics and Computing, 68,4119-4133, 2022 (SCI).

[8].Juan Zhang, Xiao Luo, Gradient-based optimization algorithm for solving Sylvester matrix equation, Mathematics, 10(7), 1040, 2022 (SCI).

[9].Kai Jiang, Juan Zhang*, Jianghao Su, A data-driven parameter prediction method for HSS-type methods, 10(20), 2022 (SCI).

[10].Shifeng Li, Kai Jiang, Juan Zhang*. A general alternating-direction implicit Newton method for solving complex continuous-time algebraic Riccati matrix equation, https://arxiv.org/abs/2203.02163.

[11].Juan Zhang and Fangyuan Tan, Numerical methods for the minimal non-negative solution of the non-symmetric coupled algebraic Riccati equation, Asian Journal of Control, 23, 374-386, 2021 (SCI).

[12].Juan Zhang and Shifeng Li, On the Hermitian positive definite solution and Newton's method for a nonlinear matrix equation, Linear and Multilinear Algebra, 69(11), 2093-2114, 2021 (SCI).

[13]. Juan Zhang and Huihui Kang, The generalized modified Hermitian and skew-Hermitian splitting method for the generalized Lyapunov equation,  International Journal of Control,  Automation and Systems, 19, 339-349, 2021 (SCI).

[14].Juan Zhang, Huihui Kang and Shifeng Li, Matrix iteration algorithms for solving the generalized Lyapunov matrix equation,  Advances in Difference Equations, 2021:221, 18 pages, https://doi.org/10.1186/s13662-021-03381-1, 2021 (SCI).

[15].Juan Zhang and Shifeng Li, The structure-preserving doubling algorithm and convergence analysis for a nonlinear matrix equation, Automatica, 113, 108822, 2020 (SCI).

[16].Jianzhou Liu,Juan Zhang and Quanbing Li, Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system, International Journal of Control, 93(5), 1115-1126, 2020 (SCI).

[17].Juan Zhang, Huihui Kang and Fangyuan Tan, Two-parameters numerical methods of the non-symmetric algebraic Riccati equation, Journal of Computational and Applied Mathematics, 378, 112933, 2020 (SCI).

[18].Ze Chen, Juan Zhang, Kenneth L. Ho, Haizhao Yang, Multidimensional phase recovery and interpolative decomposition butterfly factorization, Journal of Computational Physics, 412, 109427, 2020 (SCI).

[19].Jianzhou Liu, Juan Zhang and Fangfang Luo, Newton's method for the positive solution of the coupled algebraic Riccati equation applied to automatic control, Computational and Applied Mathematics, 39: 113, 2020 (SCI).

[20].Juan Zhang and Shifeng Li, The structure-preserving doubling numerical algorithm of the continuous coupled algebraic Riccati equation, International Journal of Control, Automation and Systems, 18(7), 1641-1650, 2020 (SCI).

[21].Jianzhou Liu, Juan Zhang and Hao Huang, The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system, Journal of Inequalities and Applications, 2019:172, 18 pages, https://doi.org/10.1186/s13660-019-2119-2, 2019 (SCI).

[22].Juan Zhang and Jianzhou Liu, The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation, IMA Journal of Mathematical Control and Information, 36, 681-699, 2019 (SCI).

[23].Jianzhou Liu, Juan Zhang, Lixin zhou and Gen Tu,The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications, Applied Mathematics and Computation, 320, 251-263, 2018 (SCI).

[24].Juan Zhang, Jianzhou Liu and Hao Huang, Lower eigenvalue bounds on summation for the solution of the Lyapunov matrix differential equation, Asian Journal of Control, 19(1), 382-390, 2017 (SCI).

[25].Juan Zhang, Jianzhou Liu and Yalin Zha, The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation, IMA Journal of Mathematical Control and Information,   34(3), 851-870, 2017 (SCI).

[26].Juan Zhang, Jianzhou Liu and Quanbing Li, Lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation, IMA Journal of Mathematical Control and Information, 34(3), 987-998, 2017 (SCI).

[27].Guangqi Li, Jianzhou Liu and Juan Zhang, The disc theorem for the Schur complement of two class submatrices with r-diagonally dominant properties, Numerical Mathematics: Theory, Methods and Applications, 10(1), 84-97, 2017 (SCI).

[28].Jianzhou Liu, Li Wang and Juan Zhang, New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation, International Journal of Control, 90(11), 2326-2337, 2017 (SCI).

[29].Jianzhou Liu, Li Wang and Juan Zhang, The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control, IMA Journal of Mathematical Control and Information, 34(1), 1135-1156, 2017 (SCI).

[30].Jianzhou Liu, Yanpei Wang and Juan Zhang, New upper matrix bounds with power form for the solution of the continuous coupled algebraic Riccati matrix equation, Asian Journal of Control, 19(2), 730-747, 2017 (SCI).

[31].Juan Zhang and Jianzhou Liu, New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation, Advances in Difference Equations, 2015:313, 17 pages, doi: 10.1186/s13662-015-0649-6, 2015 (SCI).

[32].Jiang Kai, Juan Zhang and Qin Liang, Self-assembly of asymmetrically interacting ABC star triblock copolymer melts, The Journal of Physical Chemistry B, 43(19), 14551-14562, 2015 (SCI).

[33].Jianzhou Liu and Juan Zhang, New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation, Asian Journal of Control, 16(1), 284-291, 2014 (SCI).

[34].Juan Zhang and Jianzhou Liu, The improved upper solution bounds of the continuous coupled algebraic Riccati matrix equation, International Journal of Control, Automation, and Systems, 11(4), 852-858, 2013 (SCI).

[35].Juan Zhang, Jianzhou Liu and Gen Tu, The improved disc theorems for the Schur complements of diagonally dominant matrices, Journal of Inequalities and Applications, 2013:2, 16 pages, doi:10.1186/1029-242X-2013-2, 2013 (SCI).

[36].Juan Zhang and Jianzhou Liu, Lower solution bounds of the continuous coupled algebraic Riccati matrix equation, International Journal of Control, Automation, and Systems, 10(6), 1273-1278, 2012 (SCI).

[37].Juan Zhang and Jianzhou Liu, New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation, International Journal of Computer Mathematics, 89, 527-542, 2012 (SCI).

[38].Jianzhou Liu, Juan Zhang and Yu Liu, The Schur complement of strictly doubly diagonally dominant matrices and its application, Linear Algebra and its Applications, 437(1), 168-183, 2012 (SCI).

[39].Jianzhou Liu and Juan Zhang, New upper matrix bounds of the solution for perturbed continuous coupled algebraic Riccati matrix equation, International Journal of Control, Automation, and Systems, 10(6), 1254-1259, 2012 (SCI).

[40].Juan Zhang and Jianzhou Liu, New lower solution bounds for the continuous algebraic Riccati equation, Electronic Journal of Linear Algebra, 22, 191-202, 2011 (SCI).

[41].Jianzhou Liu and Juan Zhang, Upper solution bounds of the continuous coupled algebraic Riccati matrix equation, International Journal of Control, 84(4), 726-736, 2011 (SCI ).

[42].Jianzhou Liu and Juan Zhang, The existence uniqueness and the fixed iterative algorithm of the solution for the discrete coupled algebraic Riccati equation, International Journal of Control, 84(8), 1430-1441, 2011 (SCI).

[43].Jianzhou Liu and Juan Zhang, The open question of the relation between square matrix's eigenvalues and its similarity matrix’s singular values in linear discrete system, International Journal of Control, Automation, and Systems, 9(6), 1235-1241, 2011 (SCI).

[44].Jianzhou Liu, Juan Zhang and Yu Liu, New solution bounds for the continuous algebraic Riccati equation, Journal of the Franklin Institute, 348, 2128-2141, 2011 (SCI).

[45].Jianzhou Liu and Juan Zhang, Bounds for the eigenvalues of the continuous algebraic Riccati equation, International Journal of Systems Science, 42(10), 1747-1753, 2011 (SCI).

[46].Juan Zhang and Jianzhou Liu, New estimates for the solution of the Lyapunov matrix  differential equation, Electronic Journal of Linear Algebra, 20, 6-19, 2010 (SCI).

[47].Juan Zhang and Jianzhou Liu, Matrix bounds for the solution of the continuous algebraic Riccati equation, Mathematical Problems in Engineering,Volume 2010, Article ID 819064, 15 pages, doi:10.1155/2010/819064, 2010 (SCI).

[48].Jianzhou Liu, Juan Zhang and Yu Liu, A new upper bound for the eigenvalues of the continuous algebraic Riccati equation, Electronic Journal of Linear Algebra, 20, 314-321, 2010 (SCI).

[49].Jianzhou Liu, Zejun Huang and Juan Zhang, The dominant degree and disc theorem for the Schur complement of matrix, Applied Mathematics and Computation, 215, 4055-4066, 2010 (SCI).

[50].Jianzhou Liu and Juan Zhang, New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation, Journal of Inequalities and Applications, vol. 2009, Article ID 620758, 18 pages, 2009. doi:10.1155/2009/620758 (SCI).

[51].Jianzhou Liu, Juan Zhang and Yu Liu, Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations, Journal of Inequalities and Applications, vol. 2009, Article ID 101085, 17 pages, 2009. doi:10.1155/2009/101085 (SCI).