华北工学院学报2005,Vol.26Issue(1):6-10,5.
非负不可约模式的最小秩
The Minimum Rank of Nonnegative Irreducible Patterns
摘要
Abstract
Let A be an n ×n nonnegative irreducible pattern. The minimum rank of A is the minimum of ranks of all real matrices which have the same sign pattern as A. Consider the sequence A, A2,A3, ……. Let Ab be the first one that is repeated. Write Ab=Ab+p with p>0minimal. Then b is called the base of A. and p the period of A. We study the relations between the base and the minimum rank of nonnegative irreducible pattern A.关键词
符号模式/不可约模式/基/秩Key words
sign pattern/irreducible pattern/base/rank分类
数理科学引用本文复制引用
邵燕灵,高玉斌..非负不可约模式的最小秩[J].华北工学院学报,2005,26(1):6-10,5.基金项目
山西省自然科学基金资助项目 ()