中北大学学报（自然科学版）2006，Vol.27Issue(1)：1-7,7.
厄米特三对角复模式的惯量
Inertia Sets of Hermitian Tridiagonal Ray Patterns
摘要
Abstract
A matrix whose entries are either 0 or eiθ, where θ∈R, is called a ray pattern.When eiθ=1 (respectively, eiθ=-1), it denoted that eiθ= + (respectively, eiθ=-). 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∈Mn(C) be two given matrixes. If there exists a nonsingular matrix S making B=SAS*, 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
符号模式/惯量/厄米特矩阵/复模式Key words
sign pattern/inertia/Hermitian matrix/ray pattern分类
数理科学引用本文复制引用
邵燕灵,高玉斌..厄米特三对角复模式的惯量[J].中北大学学报（自然科学版）,2006,27(1):1-7,7.基金项目
国家自然科学基金(10571163) （10571163）
山西省自然科学基金(20041010) （20041010）
