An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms
Abstract: A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor. In this paper, based on the equivalence between the form and the corresponding tensor, and the links of the positive definiteness of a tensor with ℋ-tensor, we propose an ℋ-tensor-based criterion for identifying the positive definiteness of multivariate homogeneous forms. Some numerical examples are provided to illustrate the efficiency and validity of our results.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms ; volume:20 ; number:1 ; year:2022 ; pages:505-516 ; extent:12
Open mathematics ; 20, Heft 1 (2022), 505-516 (gesamt 12)
- Creator
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Bai, Dongjian
Wang, Feng
- DOI
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10.1515/math-2022-0043
- URN
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urn:nbn:de:101:1-2022072814041730558383
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:26 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Bai, Dongjian
- Wang, Feng