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A note on regularity and positive definiteness of interval matrices

100%
Farhadsefat R., Lotfi T., Rohn J.
Open Mathematics
|
2012
|
tom 10
|
nr 1
322-328
EN
We present a sufficient regularity condition for interval matrices which generalizes two previously known ones. It is formulated in terms of positive definiteness of a certain point matrix, and can also be used for checking positive definiteness of interval matrices. Comparing it with Beeck’s strong regularity condition, we show by counterexamples that none of the two conditions is more general than the other one.
2
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New criteria for H-tensors and an application

100%
Wang F., Sun D.
Open Mathematics
|
2015
|
tom 13
|
nr 1
EN
Some new criteria for identifying H-tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. Advantages of results obtained are illustrated by numerical examples.
3
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New iterative codes for𝓗-tensors and an application

88%
Wang F., Sun D.
Open Mathematics
|
2016
|
tom 14
|
nr 1
212-220
EN
New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given. Advantages of results obtained are illustrated by numerical examples.
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