New Criterions-Based <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors for Testing the Positive Definiteness of Multivariate Homogeneous Forms

New Criterions-Based <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors for Testing the Positive Definiteness of Multivariate Homogeneous Forms

Positive definite homogeneous multivariate forms play an important role in polynomial problems and medical imaging, and the definiteness of forms can be tested using structured tensors. In this paper, we state the equivalence between the positive definite multivariate forms and the corresponding ten...

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Bibliographic Details
Main Authors: Dongjian Bai, Feng Wang
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
homogeneous multivariate form
positive definiteness
ℋ-tensor
diagonal dominance
irreducible
non-zero element chain
Online Access:https://www.mdpi.com/2227-7390/10/14/2416

Internet

https://www.mdpi.com/2227-7390/10/14/2416

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