✦ LIBER ✦

Positive definiteness of Hermitian interval matrices

✍ Scribed by Junwei Shao; Xiaorong Hou

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 152 KB
Volume: 432
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2009.10.011

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✦ Synopsis

We present a new necessary and sufficient criterion to check the positive definiteness of Hermitian interval matrices. It is shown that an n × n Hermitian interval matrix is positive definite if and only if its 4 n-1 (n -1)! specially chosen Hermitian vertex matrices are positive definite.

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