吳西棟, 邵燕靈

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一類(lèi)含有2個(gè)非零元的極小譜任意符號(hào)模式

吳西棟, 邵燕靈*

(中北大學(xué) 理學(xué)院, 山西 太原, 030051)

符號(hào)模式; 譜任意; 冪零—雅可比方法; 蘊(yùn)含冪零

2 有關(guān)結(jié)論

[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．

逐次按最后一行展開(kāi)可得:

引理2得證.

3 主要結(jié)果

證明 由引理1、引理2及引理3可知定理1得證.

是譜任意的相矛盾;

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[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

國(guó)家自然科學(xué)基金 (11071227); 山西省回國(guó)留學(xué)人員科研項(xiàng)目(12-070).

(責(zé)任編校:劉曉霞)