Several Properties of Anti-Symmetry Sign Pattern

梅银珍; 王鹏; 高玉斌

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Several Properties of Anti-Symmetry Sign Pattern

更新时间：2026-09-14

- Several Properties of Anti-Symmetry Sign Pattern
- 关于反对称符号模式的若干性质
- Issue 3, Pages: 202-203(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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梅银珍, 王鹏, 高玉斌. Several Properties of Anti-Symmetry Sign Pattern[J]. 2006, (3): 202-203.
DOI：

梅银珍, 王鹏, 高玉斌. Several Properties of Anti-Symmetry Sign Pattern[J]. 2006, (3): 202-203. DOI：

摘要

设A是n阶反对称符号模式.利用矩阵理论和组合论的方法刻化了Ak的惯量

给出了符号模式A惯量的若干性质

最后给出了符号模式矩阵A蕴含正交的一个充分必要条件.

Abstract

Let A be a n-order anti-symmetric sign pattern.After characterizing the inertia of sign pattern A

by using the methods of matrix theory and combinatorial theory

this paper presents several properties of the inertia of A

and a sufficient and necessary condition under which the sign pattern matrix A is orthogonal.

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references

樊恽.代数学辞典[M].武汉:华中师范大学出版社,1996.

F rank J H a ll.Symm etric s ign pattern m atrices that requ ire un ique inertia[J].L inear A lgebra and Its A pp lication,2001,338:153-169.

高玉斌.符号模式矩阵[D].合肥:中国科技大学,2001.

胡红萍,高玉斌,杨正民.对称符号模式的惯量[J].华北工学院学报,2004(25):360-362.Hu Hongp ing,G ao Y ub in,Y ang Zhenm in.Inertias of symm etric s ign patterns[J].Journa l of N orth Ch ina Institu teof T echno logy,2004(25):360-362.(in Ch inese)

杨正民,胡红萍,高玉斌.几乎完全惯量任意模式矩阵[J].华北工学院学报,2003(24):346-349.Y ang Zhengm in,Hu Hongp ing,G ao Y ub in.A lm ost inertia lly arb itrary pattern[J].Journa l of N orth Ch ina Institu teof T echno logy,2003(24):346-349.(in Ch inese)

G ao Y ub in,Shao Y an ling.T he inertia set of nonnegative symm etric s ign pattern w ith zero d iagona l[J].C zechoslovak M athem atica l Journa l,2003(128):925-940.

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