M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors
Joint Authors
Wang, Gang
Sun, Linxuan
Liu, Lixia
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
M-eigenvalues of fourth-order partially symmetric tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics.
In this paper, we introduce M-identity tensor and establish two M-eigenvalue inclusion intervals with n parameters for fourth-order partially symmetric tensors, which are sharper than some existing results.
Numerical examples are proposed to verify the efficiency of the obtained results.
As applications, we provide some checkable sufficient conditions for the positive definiteness and establish bound estimations for the M-spectral radius of fourth-order partially symmetric nonnegative tensors.
American Psychological Association (APA)
Wang, Gang& Sun, Linxuan& Liu, Lixia. 2020. M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1141021
Modern Language Association (MLA)
Wang, Gang…[et al.]. M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1141021
American Medical Association (AMA)
Wang, Gang& Sun, Linxuan& Liu, Lixia. M-Eigenvalues-Based Sufficient Conditions for the Positive Definiteness of Fourth-Order Partially Symmetric Tensors. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1141021
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141021