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Intervals of P-matrices and related matrices

✍ Scribed by S. Białas; J. Garloff

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
470 KB
Volume
58
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

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✍ J. Garloff 📂 Article 📅 2002 🏛 John Wiley and Sons ⚖ 93 KB

## Intervals of Totally Nonnegative and Related Matrices We consider the class of the totally nonnegative matrices, i.e., the matrices having all their minors nonnegative, and intervals of matrices with respect to the chequerboard partial ordering, which results from the usual entrywise partial or

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✍ Junwei Shao; Xiaorong Hou 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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 × 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.