A Strict Interlace Theorem

摘要：

Let A be a n×n real symmetric matrix and B be a (n - 1) × (n - 1) principal matrix of A . If λ1≤λ2 …≤λn lists the eigenvalues of A and μ1≤μ2 <…≤μn-1 are the eiugenvalues of B .It is well known by Cauchys Interlace Theorem that ≤ μ1 ≤λ2≤μ2 ≤…≤μn-1 ≤λn hold. A sufficient and necessary conditions are given when the strict inequalities λ1≤ 1 μ≤λ2 ≤μ2 ≤…≤n-1 ≤λn hold.

关键词： Symmetric matriz eigenvalue eigenvector interlace theorem

作者: Ling-Gai Tian Hong-Yan Ji Yan-Hong Guo

作者单位: Science College,Hebei University of Engineering,Handan 056038,China Science College,Hebei University of ngineering,Handan 056038,China Hanguang Middle Schoole,Handan

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 994-997

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）