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
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
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
Bai, Dongjian
Wang, Feng

DOI
10.1515/math-2022-0043
URN
urn:nbn:de:101:1-2022072814041730558383
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:26 AM CEST

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Associated

  • Bai, Dongjian
  • Wang, Feng

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