一类含有2n个非零元的极小谱任意符号模式

2014-05-13 11:03吴西栋邵燕灵
关键词:中北大学编校留学人员

吴西栋, 邵燕灵



一类含有2个非零元的极小谱任意符号模式

吴西栋, 邵燕灵*

(中北大学 理学院, 山西 太原, 030051)

符号模式; 谱任意; 幂零—雅可比方法; 蕴含幂零

2 有关结论

[10][11] Lyn Noquil Semea, South China Sea Disputes: How Different Domestic Dynamics Impact on Contemporary Philippine Political and Economic Relations with China, Norwegian University, Master Thesis, 2015, p. 26,pp. 23-24.

逐次按最后一行展开可得:

引理2得证.

3 主要结果

证明 由引理1、引理2及引理3可知定理1得证.

是谱任意的相矛盾;

[1] Drew J H, Johnson C R, Olesky D D, et al. Spectrally arbitrary patterns [J]. Linear Algebra and its Applications, 2000, 308(1): 121—137.

[2] Britz T, McDonald J J, Olesky D D, et al. Minimal spectrally arbitrary sign patterns [J]. SIAM Journal on Matrix Analysis and Applications, 2004, 26(1): 257—271.

[3] CAVERS M S, Kim I J, Shader B L, et al. On determining minimal spectrally arbitrary patterns [J]. Elec J Linear Algebra, 2005, 13: 240—248.

[4] CAVERS M S, VANDER MEULEN K N. Spectrally and inertially arbitrary sign patterns [J]. Linear Algebra and its Applications, 2005, 394: 53—72.

[5] GAO Yu-bin, SHAO Yan-ling. A spectrally arbitrary patterns [J]. Advances in Mathematics, 2006, 35(5): 551—555.

[6] Pereira R. Nilpotent matrices and spectrally arbitrary sign-patterns [J]. Electron J Linear Algebra, 2007, 16: 232—236.

[7] Bergsma H, Kevin N, Vander M, et al. Potentially nilpotent patterns and the Nilpotent-Jacobian method[J]. Linear Algebra and Its Applications, 2012, 436: 4433—4445.

A class of minimally spectrally arbitrary patterns with 2nonzero entries

WU XiDong, SHAO YanLing

(School of Science, North University of China, Taiyuan 030051, China)

sign pattern; spectrally arbitrary; Nilpotent-Jacobian method; potentially nilpotent

10.3969/j.issn.1672-6146.2014.03.001

O 157

1672-6146(2014)04-0001-05

email: ylshao@nuc.edu.cn.

email: wuxidong123.2008@163.com.

2014-06-13

国家自然科学基金 (11071227); 山西省回国留学人员科研项目(12-070).

(责任编校:刘晓霞)

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