The Inertia Sets of Star Sign Patterns with Two Central Vertices

胡红萍; 高玉斌; 杨正民

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The Inertia Sets of Star Sign Patterns with Two Central Vertices

更新时间：2026-09-14

- The Inertia Sets of Star Sign Patterns with Two Central Vertices
- 具有两个中心点的星符号模式的惯量(英文)
- Issue 3, Pages: 194-201(2006)
- 作者机构：
  
  中北大学数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2006
- 稿件说明：
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胡红萍, 高玉斌, 杨正民. The Inertia Sets of Star Sign Patterns with Two Central Vertices[J]. 2006, (3): 194-201.
DOI：

胡红萍, 高玉斌, 杨正民. The Inertia Sets of Star Sign Patterns with Two Central Vertices[J]. 2006, (3): 194-201. DOI：

摘要

元素来自于集合{+

0}的矩阵A称为符号模式矩阵

简称符号模式.A的符号模式矩阵类定义为符号模式为A的所有实矩阵的集合.本文中

我们考虑n×n的对称符号模式A

其中除了(1

2)元素外

A的前两行和前两列的元素全为正的

其它的非对角元素全为零.本文给出了A(n≥2)的惯量.

Abstract

A sign pattern matrix A is a matrix whose entries are from the set {+

0}.The sign pattern matrix class of A is defined by the set of all real matrixes those sign pattern is A.After a research on an n×n symmetric sign pattern A with all the entries on the first two rows and columns being positive except (1

2) entries

and other non-diagonal entries being zero

this paper has presented the inertia of A(n≥2).

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references

Shao Y an ling.Tw o classes of symm etric s ign patterns that requ ire un ique inertia[J].A pp l.M ath.J.Ch ineseU n iv.,Ser.B.2003,18(2):243-250.

H a ll F J,Zhongshan L i,D i W ang.Symm etric s ign pattern m atrices that requ ire un ique inertia[J].L inearA lgebraand its app lications,2001,338:153-169.

Horn R A,Johnson C R.M atrix A na lys is[M].C am bridge U n ivers ity P ress 1985.

B rua ld i R A,Shader B L.M atrices of s ign-so lvab le linear system[M].C am bridge U n ivers ity P ress,1995.

G ao Y ub in,Shao Y an ling.Inertia lly arb itrary pattern[J].L inear and M u ltilinear A lgebra,2001,49(2):161-168.

胡红萍,高玉斌,杨正民.对称符号模式A2,A3,A4的惯量[J].华北工学院学报,2004,25(2):82-86.Hu Hongp ing,G ao Y ub in,Y ang Zhengm in.Inertias of symm etric s igh patterns A2,A3,A4[J].Journa l of N orthCh ina Institu te of T echno logy,2004,25(2):82-86.(in Ch inese)

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