个人资料

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姓 名：卜长江


职 称：教授
电 话：**
传 真：**
邮 箱：buchangjiang@hrbeu.edu.cn
个人简介


卜长江，男，教授，博士生导师。现任中国线性代数学会理事，中国运筹学会图论与组合分会理事，黑龙江省数学会常务理事。The Scientific World Journal杂志编委。Linear Algebra and its Applications, Linear and Multilinear Algebra, Applied Mathematics and Computation, The Electronic Journal of Linear Algebra, Applied Mathematics Letters等杂志审稿人。



研究领域：张量和超图的谱理论，系统控制与广义逆理论，代数图论，网络优化，符号矩阵



科研项目：主持国家自然科学基金面上项目《矩阵Drazin逆符号模式的研究》(2014-2017)

主持省自然科学基金《保图不变量的理论及其应用研究》(2008-2010)

主持省自然科学基金《标号图的理论及应用研究》(1994-1995)



论文著作：在The Electronic Journal of Combinatorics、Linear Algebra and its Applications、Discrete Mathematics、Applicable Analysis and Discrete Mathematics、Linear and Multilinear Algebra、Discrete Applied Mathematics、Graphs and Combinatorics、Journal of the Australian Mathematical Society、The Electronic Journal of Linear Algebra、Czechoslovak Mathematical Journal、Applied Mathematics and Computation、哈尔滨工程大学学报等刊物发表文章200余篇。出版专著1部，主编、参编矩阵论、微积分、线性代数等教材。



指导学生情况：指导研究生获国家奖学金3人次，奖金每人2万。指导研究生获省优秀硕士学位论文1人次，获校优秀硕士学位论文3人次。



学术活动：2006年英国赫特福德大学访问学者；2008年作为会议主席组织了第四届标号图国际会议；2012年作为会议主席组织了第七届矩阵与算子国际会议；多次在国际学术会议作大会报告、邀请报告。



教学获奖：2004国防科工委优秀教师；2003-2009哈尔滨工程大学第一、二、三届 “十佳示范主讲教师”；2012校优秀硕士研究生指导教师一等奖。
业绩成果




近期发表SCI检索论文：



1. C. Bu, X. Zhang, J. Zhou, A note on the multiplicities of graph eigenvalues, Linear Algebra Appl. 442 (2014) 69-74.

2. C. Bu, X. Zhou, L. Ma, J. Zhou, On the group inverse for the sum of matrices, J. Aust. Math. Soc. 96 (2014) 36-43.

3. C. Bu, X. Zhang, J. Zhou, W. Wang, Y. Wei, The inverse, rank and product of tensors, Linear Algebra Appl. 446 (2014) 269-280.

4. C. Bu, J. Zhou, H. Li, W. Wang, Spectral characterizations of the corona of a cycle and two isolated vertices, Graphs Combin., doi:10.1007/s00373-013-1327-7.

5. C. Bu, W. Wang, J. Zhou, L. Sun, On block triangular matrices with signed Drazin inverse, Czech. Math. J., in press.

6. J. Zhou, C. Bu, State transfer and star complements in graphs, Discrete Appl. Math., doi:10.1016/j.dam.2013.08.028.

7. J. Zhou, L. Sun, W. Wang, C. Bu, Line star sets for Laplacian eigenvalues, Linear Algebra Appl. 440 (2014) 164-176.

8. L. Sun, W. Wang, J. Zhou, C. Bu, Some results on resistance distances and resistance matrices, Linear and Multilinear Algebra, doi:10.1080/**.2013.877011.

9. C. Bu, C. Zhang, A note on the formulas for the Drazin inverse of the sum of two matrices, Linear Algebra Appl. 439 (2013) 565-576.

10. C. Bu, L. Sun, J. Zhou, Y. Wei, Some results on the Drazin inverse of anti-triangular matrices, Linear and Multilinear Algebra 61 (2013) 1568-1576.

11. J. Zhou, C. Bu, Spectral characterization of line graphs of starlike trees, Linear and Multilinear Algebra 61 (2013) 1041-1050.

12. J. Zhou, L. Sun, H. Yao, C. Bu, On the nullity of connected graphs with least eigenvalue at least -2, Appl. Anal. Discrete Math. 7 (2013) 250-261.

13. C. Bu, J. Zhou, Starlike trees whose maximum degree exceed 4 are determined by their Q-spectra, Linear Algebra Appl. 436 (2012) 143-151.

14. C. Bu, L. Sun, J. Zhou, Y. Wei, A note on block representations of the group inverse of Laplacian matrices, Electron. J. Linear Algebra 23 (2012) 866-876.

15. C. Bu, J. Zhou, H. Li, Spectral determination of some chemical graphs, Filomat 26 (2012) 1123-1131.

16. C. Bu, J. Zhou, Signless Laplacian spectral characterization of the cones over some regular graphs, Linear Algebra Appl. 436 (2012) 3634-3641.

17. C. Bu, C. Feng, S. Bai, Representations for the Drazin inverses of the sum of two matrices and some block matrices, Appl. Math. Comput. 218 (2012) 10226-10237.

18. K. Zhang, C. Bu, Group inverses of matrices over right Ore domains, Appl. Math. Comput. 218 (2012) 6942-6953.

19. J. Zhou, C. Bu, Y. Wei, Group inverse for block matrices and some related sign analysis, Linear and Multilinear Algebra 60 (2012) 669-681.

20. J. Zhou, C. Bu, Y. Wei, Some block matrices with signed Drazin inverses, Linear Algebra Appl. 437 (2012) 1779-1792.

21. J. Zhou, C. Bu, Laplacian spectral characterization of some graphs obtained by product operation, Discrete Math. 312 (2012) 1591-1595.

22. C. Bu, J. Zhao, J. Tang, Representation of the Drazin inverse for special block matrix, Appl. Math. Comput. 217 (2011) 4935-4943.

23. J. Zhou, C. Bu, J. Shen, Some results for the periodicity and perfect state transfer, Electron. J. Combin. 18 (2011) P184.

24. C. Bu, K. Zhang, J. Zhao, Representations of the Drazin inverse on solution of a class singular differential equations, Linear and Multilinear Algebra 59 (2011) 863-877.

25. C. Bu, K. Zhang, J. Zhao, Some results on the group inverse of the block matrix with a sub-block of linear combination or product combination of matrices over skew fields, Linear and Multilinear Algebra 58 (2010) 957-966.

26. C. Bu, K. Zhang, The explicit representations of the Drazin inverses of a class of block matrices, Electron. J. Linear Algebra 20 (2010) 406-418.

27. J. Zhao, C. Bu, Group inverse for the block matrix with two identical subblocks over skew fields, Electron. J. Linear Algebra 21 (2010) 63-75.

28. C. Bu, J. Zhao, K. Zhang, Some results on the group inverse for block matrices over skew fields, Electron. J. Linear Algebra 18 (2009) 117-125.

29. C. Bu, M. Li, K. Zhang, L. Zheng, Group inverse for the block matrices with an invertible subblock, Appl. Math. Comput. 215 (2009) 132-139.

30. C. Bu, J. Zhao, J. Zheng, Group inverse for a class 2 × 2 block matrices over skew fields, Appl. Math. Comput. 204 (2008) 45-49.