Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics>...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/2/439 |
| _version_ | 1797618069169766400 |
|---|---|
| author | Xincun Wang Hongbin Lv |
| author_facet | Xincun Wang Hongbin Lv |
| author_sort | Xincun Wang |
| collection | DOAJ |
| description | In this paper, we study two classes of quasi-double diagonally dominant tensors and prove they are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-tensors. Numerical examples show that two classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-tensors are mutually exclusive. Thus, we extend the decision conditions of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-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. |
| first_indexed | 2024-03-11T08:05:00Z |
| format | Article |
| id | doaj.art-8728b2d113f745a7949c112270cc3740 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:05:00Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-8728b2d113f745a7949c112270cc37402023-11-16T23:33:19ZengMDPI AGSymmetry2073-89942023-02-0115243910.3390/sym15020439Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative TensorsXincun Wang0Hongbin Lv1Teachers College, Eastern Liaoning University, Dandong 118003, ChinaSchool of Mathematics and Statistics, Beihua University, Jilin 132013, ChinaIn this paper, we study two classes of quasi-double diagonally dominant tensors and prove they are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-tensors. Numerical examples show that two classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-tensors are mutually exclusive. Thus, we extend the decision conditions of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-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.https://www.mdpi.com/2073-8994/15/2/439quasi-double diagonally dominant <named-content content-type="inline-formula"><inline-formula> <mml:math id="mm1000"> <mml:semantics> <mml:mi mathvariant="script">H</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-tensor<named-content content-type="inline-formula"><inline-formula> <mml:math id="mm1002"> <mml:semantics> <mml:mi mathvariant="script">M</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-tensordecision conditionnonnegative tensorspectral radiusestimation inequality |
| spellingShingle | Xincun Wang Hongbin Lv Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors Symmetry quasi-double diagonally dominant <named-content content-type="inline-formula"><inline-formula> <mml:math id="mm1000"> <mml:semantics> <mml:mi mathvariant="script">H</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-tensor <named-content content-type="inline-formula"><inline-formula> <mml:math id="mm1002"> <mml:semantics> <mml:mi mathvariant="script">M</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-tensor decision condition nonnegative tensor spectral radius estimation inequality |
| title | Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors |
| title_full | Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors |
| title_fullStr | Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors |
| title_full_unstemmed | Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors |
| title_short | Quasi-Double Diagonally Dominant <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and the Estimation Inequalities for the Spectral Radius of Nonnegative Tensors |
| title_sort | quasi double diagonally dominant inline formula math display inline semantics mi mathvariant script h mi semantics math inline formula tensors and the estimation inequalities for the spectral radius of nonnegative tensors |
| topic | quasi-double diagonally dominant <named-content content-type="inline-formula"><inline-formula> <mml:math id="mm1000"> <mml:semantics> <mml:mi mathvariant="script">H</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-tensor <named-content content-type="inline-formula"><inline-formula> <mml:math id="mm1002"> <mml:semantics> <mml:mi mathvariant="script">M</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-tensor decision condition nonnegative tensor spectral radius estimation inequality |
| url | https://www.mdpi.com/2073-8994/15/2/439 |
| work_keys_str_mv | AT xincunwang quasidoublediagonallydominantinlineformulamathdisplayinlinesemanticsmimathvariantscripthmisemanticsmathinlineformulatensorsandtheestimationinequalitiesforthespectralradiusofnonnegativetensors AT hongbinlv quasidoublediagonallydominantinlineformulamathdisplayinlinesemanticsmimathvariantscripthmisemanticsmathinlineformulatensorsandtheestimationinequalitiesforthespectralradiusofnonnegativetensors |