M-eigenvalue inclusion intervals for a fourth-order partially symmetric tensor (Q2423691)

The paper provides upper bounds for the \(M\)-spectral radius of a fourth-order partially symmetric tensor by giving two \(M\)-eigenvalue inclusion intervals. As an application, the authors obtain rapid convergence of the \(WQZ\)-algorithm to a good approximation of the largest eigenvalues of a fourth-order partially symmetric tensor. The method is illustrated on several examples in order to obtain eigenvalues for both abstract fourth-order partially symmetric tensor and real materials elastic moduli.