Quasi-Double Diagonally Dominant -Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors

Quasi-Double Diagonally Dominant -Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors

In this paper, we study two classes of quasi-double diagonally dominant tensors and prove they are H -tensors. Numerical examples show that two classes of H -tensors are mutually exclusive. Thus, we extend the decision conditions of H -tensors. Based on these two classes of tensors, two estimation i...

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Veröffentlicht in:Symmetry (Basel) 2023-02, Vol.15 (2), p.439
Hauptverfasser: Xincun Wang, Hongbin Lv
Format: Artikel
Sprache:eng
Schlagworte:
<named-content content-type="inline-formula"> <mml:math id="mm1002"> <mml:mi mathvariant="script">M</mml:mi> </mml:math> </named-content>-tensor
decision condition
estimation inequality
nonnegative tensor
quasi-double diagonally dominant <named-content content-type="inline-formula"> <mml:math id="mm1000"> <mml:mi mathvariant="script">H</mml:mi> </mml:math> </named-content>-tensor
spectral radius
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Zusammenfassung:In this paper, we study two classes of quasi-double diagonally dominant tensors and prove they are H -tensors. Numerical examples show that two classes of H -tensors are mutually exclusive. Thus, we extend the decision conditions of H -tensors. Based on these two classes of tensors, two estimation inequalities for the upper and lower bounds for the spectral radius of nonnegative tensors are obtained.
ISSN:2073-8994
DOI:10.3390/sym15020439