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杨俊坚

发布时间:2024-10-12

杨俊坚,男,理学博士,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,博士研究生,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

202512月至今,海南师范大学,数学与统计学院,教授;

20256-202512月,中国科学院数学与系统科学研究院,访问学者;

2012/12-202512月,海南师范大学,数学与统计学院,副教授。

教学情况

1.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;

1.指导全国大学生数学建模竞赛获海南省二、三等奖,美国数学建模竞赛M奖;五一数学建模竞赛二、三等奖;

1.荣获海南师范大学教学创新大赛二等奖。

指导硕士生

已毕业:3名,学硕:马胜艳,宋齐;专硕:王利琳。去向:马胜艳已被录取博士研究生。

在读:数学学硕5名,数学教育专硕1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.

5. 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.

6.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.

7.Junjian Yang, Linzhang Lu and Zhen Chen. Some inequalities related to block sector partial

transpose matrices. Journal of Inequalities Applications. 2020, 2020:90.  

8. 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.

9. Junjian Yang and Linzhang Lu. New proofs on two recent inequalities for unitarily invariant norms.

Journal of Inequalities Applications. 2020, 2020:133.

10. Junjian Yang, Linzhang Lu and Zhen Chen. Some singular value inequalities related to linear maps.

Filomat. Vol.34 (2020) No.11, 3705-3709.

11. Junjian Yang and Linzhang Lu. Weighted geometric mean of two accretive matrices. Annals of

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

12.Junjian Yang. Inequalities on block accretive matrices. Operators and Matrices. Vol.16 (2022)

No.2, 323-328.

13.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.

14.Junjian Yang, Huan Xu. Partial trace inequalities for partial transpose of positive semidefinite block

matrices, Positivity. (2024) 28:21.

15.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.

17.Qi Song, Junjian Yang, Shengyan Ma. Refinements of Audenaert Interpolation Inequality, Operator and

Matrices. Volume 19, Number 4 (2025), 457465.

18.Junjian Yang, Chuchu Tang, Qi Song. Singular value inequaliteis related to the geometric mean, Journal

of Mathematical Inequalities. Vol. 19(2025)No.4, 1215-1222.