Bounds for the Second Largest Eigenvalue of Real 3 ×3 Symmetric Matrices with Entries Symmetric about the Origin

• 作者: Barini Geoffrey Jotham Akanga Kivunge Benard
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: BOUNDS DETERMINANT EIGENVALUES TRACE
• 年，卷（期）: yysxyw_2012,（6）
• 页码范围: 606-609
• 页数: 4页
• 分类号: O1

摘要

Let ASn[a,b] denote a set of all real nxn symmetric matrices with entries in the interval [a,b]. In this article, we present bounds for the second largest eigenvalue λ2(A) of a real symmetric matrix A, such that A∈AS3 [-b,b].