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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
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)
- Urheber
-
Bai, Dongjian
Wang, Feng
- DOI
-
10.1515/math-2022-0043
- URN
-
urn:nbn:de:101:1-2022072814041730558383
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.10.2025, 07:44 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Bai, Dongjian
- Wang, Feng
Ähnliche Objekte (12)
New criteria for H $\mathcalH}$ -tensors and an application
E-waste in China: a country report
Jiao xiang yue tuan zhong mu guan yan zou yi shu ji neng yao qiu yu yi shu bian xian : = Skill requirements and value realization of woodwind performance art in symphony orchestra
Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices
Policy based home care systems
Smooth approximation of twisted Kähler-Einstein metrics
A Comprehensive Review on Biomethane Production from Biogas Separation and its Techno‐Economic Assessments
Conjugate Aminocyclization Catalyzed by a Bismuthinidene
Characterization of AlN Inclusion Particles Formed in Commercial Purity Aluminum
Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching
Making sense of trans-translating in blogger subtitling: a netnographic approach to translanguaging on a Chinese microblogging site
Dominant changes in centre Fe atom of decamethyl-ferrocene from ferrocene in methylation
New criteria for H $\mathcalH}$ -tensors and an application
E-waste in China: a country report
Jiao xiang yue tuan zhong mu guan yan zou yi shu ji neng yao qiu yu yi shu bian xian : = Skill requirements and value realization of woodwind performance art in symphony orchestra
Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices
Policy based home care systems
Smooth approximation of twisted Kähler-Einstein metrics
A Comprehensive Review on Biomethane Production from Biogas Separation and its Techno‐Economic Assessments
Conjugate Aminocyclization Catalyzed by a Bismuthinidene
Characterization of AlN Inclusion Particles Formed in Commercial Purity Aluminum
Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching
Making sense of trans-translating in blogger subtitling: a netnographic approach to translanguaging on a Chinese microblogging site
Dominant changes in centre Fe atom of decamethyl-ferrocene from ferrocene in methylation
New criteria for H $\mathcalH}$ -tensors and an application
E-waste in China: a country report
Jiao xiang yue tuan zhong mu guan yan zou yi shu ji neng yao qiu yu yi shu bian xian : = Skill requirements and value realization of woodwind performance art in symphony orchestra
Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices
Policy based home care systems
Smooth approximation of twisted Kähler-Einstein metrics
A Comprehensive Review on Biomethane Production from Biogas Separation and its Techno‐Economic Assessments
Conjugate Aminocyclization Catalyzed by a Bismuthinidene
Characterization of AlN Inclusion Particles Formed in Commercial Purity Aluminum
Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching
Making sense of trans-translating in blogger subtitling: a netnographic approach to translanguaging on a Chinese microblogging site