Two Classes of Sign Pattern Matrices

邵燕灵; 高玉斌

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Two Classes of Sign Pattern Matrices

更新时间：2026-09-14

- Two Classes of Sign Pattern Matrices
- 两类特殊的符号模式矩阵
- Issue 2, Pages: 98-101(2000)
- 作者机构：
  
  1. 中国科学技术大学数学系,安徽,合肥,230026
  2. 华北工学院理学系,山西,太原,030051
- 作者简介：
- 基金信息：
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- Published：2000
- 稿件说明：
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邵燕灵, 高玉斌. Two Classes of Sign Pattern Matrices[J]. 2000, (2): 98-101.
DOI：

邵燕灵, 高玉斌. Two Classes of Sign Pattern Matrices[J]. 2000, (2): 98-101. DOI：

摘要

目的　研究符号中心矩阵和 L矩阵 .方法　利用组合论和矩阵论方法 .结果和结论　给出极小符号中心矩阵的一个刻划定理及符号中心矩阵与 L 矩阵之间的关系 .同时也给出了元素全非零的符号中心矩阵和 L矩阵中负元个数的上界及其极矩阵的完全刻划

Abstract

Aim To study two classes of sign pattern matrices which are L matrices and sign central matrices. Methods By combinatorial and matrix theoretical methods. Results and Conclusion We first give a combinatorial characterization of minimal sign central matrices. Further

a relation of sign central matrices with L matrices be characterized. We also discuss the maximum number of negative entries in entrywise nonzero L matrices and sign central matrices.

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references

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[3 ]　 Brualdi R A,Shader B L. Matrices of Sign-solvable Linear Systems[M]. Cambridge University Press,Cambridge,1 995.

[4 ]　 Maybee J.In Computer-Assisted Analysis and Model Simplification Sign Solvability[C].Academic,New York,1 981 ,2 0 1～ 2 57.

　 Klee V,Ladner R,Manber R.Signsolvability revisited[J],Linear Algebra Appl.,1 984 ,( 59) :1 3 1～ 1 57.

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　 Davydov G V,Davydov I M.Solubility of the system Ax=0 ,x≥ 0 with indefinite coefficients[J].Soviet Math.1 990 ,3 4 :1 0 8～ 1 1 2 .

　 Ando T,Brualdi R A. Sign-central Matrices[J]. Linear Algebra Appl,1 994 ,( 2 0 8/ 2 0 9) :2 83～ 2 95.

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Related Author

龙佳平

邵燕灵

Related Institution

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