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Positive Definiteness of Forms: Numerical Identification

โœ Scribed by Arutyunov, Aram V.; Izmailov, Alexey F.


Book ID
118207870
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
207 KB
Volume
41
Category
Article
ISSN
0363-0129

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Positive definiteness of Hermitian inter
โœ Junwei Shao; Xiaorong Hou ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

We present a new necessary and sufficient criterion to check the positive definiteness of Hermitian interval matrices. It is shown that an n ร— 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.