A conjecture about the inertia of Hermitian matrices

被引：0

作者：

da Fonseca, CM ^{[1
]}

机构：

[1] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2004年 / 7卷 / 04期

关键词：

tridiagonal block matrices; Hermitian matrices; inertia;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a Hermitian matrix which has been decomposed into in rows and in columns of blocks. Suppose further that we know the inertia of each diagonal block and a range of possible ranks for each off-diagonal block. What are the possible inertias of H? In this paper, a conjecture on the inertias of Hermitian matrices with a prescribed 3 x 3 block decomposition is presented, based on several important works on the subject.

引用

页码：497 / 503

页数：7

共 19 条

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