A new \(Z\)-eigenvalue inclusion theorem for tensors. (Chinese. English summary) Zbl 1463.15049
Summary: The \(Z\)-eigenvalues of tensors play an important role in many scientific fields such as medical resonance imaging and positive definiteness of even-order multivariate forms. A new inclusion theorem for the \(Z\)-eigenvalue of tensors is given. As applications, a new upper bound for the \(Z\)-spectral radius of nonnegative tensors is obtained. Numerical experiments are given to show the efficiency of our new results.
MSC:
15A69 | Multilinear algebra, tensor calculus |
15A18 | Eigenvalues, singular values, and eigenvectors |
15A42 | Inequalities involving eigenvalues and eigenvectors |