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Determining the Positive Definiteness Margin of Interval Matrices

✍ Scribed by Lubomir V. Kolev


Book ID
113078959
Publisher
Springer
Year
2007
Tongue
English
Weight
202 KB
Volume
13
Category
Article
ISSN
1385-3139

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Positive definiteness of Hermitian inter
✍ Junwei Shao; Xiaorong Hou πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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 Γ— 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.