Sign Patterns That Allow Orthogonal Matrix

邵燕灵; 梅银珍

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Sign Patterns That Allow Orthogonal Matrix

更新时间：2026-09-14

- Sign Patterns That Allow Orthogonal Matrix
- 蕴含正交矩阵的符号模式
- Issue 5, Pages: 320-322(2003)
- 作者机构：
  
  1. 华北工学院应用数学系,山西,太原,030051
  2. ,山西,太原,030051
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2003
- 稿件说明：
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邵燕灵, 梅银珍. Sign Patterns That Allow Orthogonal Matrix[J]. 2003, (5): 320-322.
DOI：

邵燕灵, 梅银珍. Sign Patterns That Allow Orthogonal Matrix[J]. 2003, (5): 320-322. DOI：

摘要

　给出蕴含正交矩阵的符号模式的一种构造方法

并证明了一类给定符号模式蕴含正交矩阵

最后对蕴含正交矩阵的符号模式中零元的个数进行了研究.

Abstract

The method of constructing the sign patterns that allow orthogonal matrix is given. And

it is proved that the given sign patterns allow orthogonal matrix. Finally

the number of zero entries in sign patterns that allow orthogonal matrix is researched.

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references

　SamuelsonPA.FoundationsofEconomicAnalysis[M].HarvardUniversityPress,Cambridge,1947;Atheneum,NewYork,1971.

　BrualdiRA,ShaderBL.MatricesofSign-SolvableLinearSystems[M].CambridgeUniversityPress,Cambridge,1995.

　FiedlerM(Ed.).Proceedings:TheoryofGraphsandItsApplication[M].PublishingHouseoftheCzechoslovakiaAcademyofScienses,Prague,1964.160.

　BeasleyLB,BrualdiRA,ShaderBL.CombinatorialOrthogonality,in"CombinatorialandGraph-TheoreticalProblemsinLinearAlgebra"(R.A.Brualdi,S.FriedlandandV.Klee,Eds.)[M].Springer-Verlag,Berlin,1993.207-218.

　GiSangCheon,ShaderBL.Howsparsecanamatrixwithorthogonalrowsbe?[J].JournalofCombinatorialTheo-ry,SeriesA,1999,(85):29-40.

　WatersC.Signpatternmatricesthatalloworthogonality[J].LinearAlgebraAppl.,1996,(235):1-16.

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