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杨俊坚

发布时间:2024-11-05

                           
                                       
                           

简历

杨俊坚,男,理学博士,副教授,硕士生导师,海南省高层次人才;

E-mail:8085200@qq.com

研究方向:数值代数、矩阵分析





教育经历

2017/09-2021/07  贵州师范大学,数学科学学院,博

研究生,导师:卢琳璋;

2010/03-2013/06  海南大学,信息科学技术学院,硕士

研究生,导师:李太君;

1999/09-2003/06  长沙理工大学,计算机系,本科。

科研与学术工作经历

2012/12-至今,海南师范大学,数学与统计学院,副教授;

2009/07-2012/12,海南师范大学,数学与统计学院,讲师;

2003/07-2009/07,海南师范大学,数学与统计学院,助教。

教学情况

主讲高等数学、线性代数、数学建模、现代优化算法、高等矩阵分析等课程。并指导全国大学生数学建模竞赛获海南省二等奖,美国数学建模竞赛M奖。

指导硕士生

已毕业:1名,已被录取博士研究生;

在读:数学学硕3名,数学教育专硕2名。

主持项目

1、主持国家自然基金:矩阵酉不变范数不等式的理论及应用研究,在研;

2、主持海南省自然基金:关于张量乘积矩阵的线性保持问题的研究,结题;

3、主持海南省自然基金人才项目:矩阵奇异值不等式的理论及应用研究,在研;

4、主持海南省自然基金:一些矩阵酉不变范数和奇异值不等式的研究,在研;

代表性研究成果

  1. Junjian Yang.Some determinantal inequalities for accretive-dissipative matrices, Journal of Inequalities and Applications. 2013, 2013:512.

  2. Junjian Yang, Xiaohui Fu. Squaring  operator α-geometric mean inequality, Journal of Mathematical Inequalities. 10 (2016) 571-575. 

  3. Junjian Yang, Linzhang Lu and Zhen Chen. Schatten q-norms and determinantal inequalities for matrices with numerical ranges in a sector. Linear and Multiline-ar Algebra. Vol. 67 (2019) No.2, 221-227.

  4. Junjian Yang, Linzhang Lu and Zhen Chen. A refinement of Rotfel'd type      

Inequality for partitioned matrices with numerical ranges in a sector. Linear and

Multilinear Algebra. Vol. 67 (2019) No.9, 1719-1726.

  1. Junjian Yang, Linzhang Lu and Zhen Chen. A note on more inequalities for  

sector matrices. Operators and Matrices. Vol.13 (2019) No.2, 471-476.

  1. Junjian Yang, Linzhang Lu and Zhen Chen. A note on a conjectured singular

value inequality related to a linear map. Operators and Matrices. Vol.14 (2020) No.1, 265-269.

  1. Junjian Yang, Linzhang Lu and Zhen Chen. Some inequalities related to

block sector partial transpose matrices. Journal of Inequalities Applications.

2020, 2020:90.

  1. Junjian Yang. A note on unitarily invariant norm inequalities for accretive-

dissipative operator matrices. Italian journal of pure and applied mathematics.

No.43 (2020), 206-212.

  1. Junjian Yang and Linzhang Lu. New proofs on two recent inequalities for

unitarily invariant norms. Journal of Inequalities Applications. 2020, 2020:133.

  1. Junjian Yang, Linzhang Lu and Zhen Chen. Some singular value inequalities

related to linear maps. Filomat. Vol.34 (2020) No.11, 3705-3709.

  1. Junjian Yang and Linzhang Lu. Weighted geometric mean of two accretive

matrices. Annals of Functional Analysis.Vol.12 (2021) No.1, 1-9.

  1. Junjian Yang. Inequalities on  block accretive matrices. Operators and

Matrices. Vol.16 (2022) No.2, 323-328.

  1. Huan Xu, Junjian Yang*, Shengyan Ma. Singular value inequalities of matrices

with concave functions, Journal of Mathematical Inequalities. Volume 17,

Number 4 (2023), 1471–1479.

  1. Junjian Yang, Huan Xu. Partial trace inequalities for partial transpose of positive

semidefinite block matrices, Positivity. (2024) 28:21.

  1. Lihong Hu, Junjian Yang*. Inequalities on 2 × 2 block accretive partial

transpose matrices, AIMS Mathematics. Vol.9 (2024) No.4: 8805–8813.

[16] Junjian Yang, Shengyan Ma. Several unitarily invariant norm inequalities for matrices,Annals of Functional Analysis.Vol.16 (2025) No.15, 1-11.