Inertia Sets of Hermitian Tridiagonal Ray Patterns

邵燕灵; 高玉斌

您当前的位置：

首页 >

文章列表页 >

Inertia Sets of Hermitian Tridiagonal Ray Patterns

更新时间：2026-09-14

- Inertia Sets of Hermitian Tridiagonal Ray Patterns
- 厄米特三对角复模式的惯量(英文)
- Issue 1, Pages: 1-7(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：
移动端阅览
邵燕灵, 高玉斌. Inertia Sets of Hermitian Tridiagonal Ray Patterns[J]. 2006, (1): 1-7.
DOI：

邵燕灵, 高玉斌. Inertia Sets of Hermitian Tridiagonal Ray Patterns[J]. 2006, (1): 1-7. DOI：

摘要

讨论了元素为0或EIΘ的矩阵称为复模式.当EIΘ=1(EIΘ=-1)时

记EIΘ=+(EIΘ=-).若复模式A满足A=A*

称A为厄米特复模式.得出了复模式是符号模式的推广.设A

B∈MN(C)是给定的两个矩阵

如果存在非奇异矩阵S使得B=SAS*

则称B与A是相合的.利用相合的概念

给出了厄米特三对角复模式的惯量.

Abstract

A matrix whose entries are either 0 or e

where θ∈R

is called a ray pattern.When e

θ=1(respectively

θ=-1)

it denoted that e

θ=+(respectively

θ=-).If a ray pattern A satisfies A=A

such a pattern is called A Hermitian ray pattern.A ray pattern is a natural generalization of the concept of a sign pattern.Let A

B∈M

then B is said to be congruent to A.In this paper

the authors has presented the inertia sets of n×n Hermitian tridiagonal ray patterns using matrix congruence concept.

关键词

Keywords

references

H A LL F J,L I ZHONGSHAN,W ANG D I.SYMM ETRIC S IGN PATTERN M ATRICES THAT REQU IRE UN IQUE INERTIA[J].L INEAR A LGEBRAA PP L.,2001,338:153-169.

H A LL F J,L I ZHONGSHAN.INERTIA SETS OF SYMM ETRIC S IGN PATTERN M ATRICES[J].N UM ERICA L M ATH.J.CH INESEU N IVERS ITIES,2001,10:226-240.

G AO Y UB IN,SHAO Y AN LING.INERTIA LLY ARB ITRARY PATTERNS[J].L INEAR AND M U LTILINEAR A LGEBRA,2001,49:161-168.

SHAO Y AN LING,SUN L IANG,G AO Y UB IN.INERTIA SETS OF TW O CLASSES OF SYMM ETRIC S IGN PATTERNS[J].L INEAR A LGEBRAA PP L.,2004,384:85-95.

L I ZHONGSHAN,H A LL F J,JEFFREY L.IRREDUC IB LE POW ERFU L RAY PATTERN M ATRICES[J].L INEAR A LGEBRA A PP L.,2002,342:47-58.

B RUA LD I R A,SHADER B L.M ATRICES OF S IGN-SO LVAB LE L INEAR SYSTEM S[M].C AM BRIDGE U N IVERS ITY P RESS,C AM BRIDGE,1995.

HORN R A,JOHNSON C R.M ATRIX A NA LYS IS[M].C AM BRIDGE U N IVERS ITY P RESS,C AM BRIDGE,1985.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Several Properties of Anti-Symmetry Sign Pattern

The Inertia Sets of Star Sign Patterns with Two Central Vertices

对称符号模式A2,A3,A4的惯量

Rational Realizations of Inertially Arbitrary Sign Patterns

Some Spectrally and Inertially Arbitrary Sign Patterns

Related Author

王鹏

梅银珍

杨正民

胡红萍

杨正民

高玉斌

胡红萍

高玉斌

Related Institution

华北工学院应用数学系

中北大学理学院

中北大学应用数学系

⁰