On the M-eigenvalue estimation of fourth-order partially symmetric tensors. (English) Zbl 1438.15019
Summary: In this article, the M-eigenvalue of fourth-order partially symmetric tensors is estimated by choosing different components of M-eigenvector. As an application, some upper bounds for the M-spectral radius of nonnegative fourth-order partially symmetric tensors are discussed, which are sharper than existing upper bounds. Finally, numerical examples are reported to verify the obtained results.
MSC:
| 15A18 | Eigenvalues, singular values, and eigenvectors |
| 15A69 | Multilinear algebra, tensor calculus |
Keywords:
M-eigenvalue; Z-eigenvalue; partially symmetric tensors; spectral property; localization theorem; nonnegative tensorsReferences:
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