In this paper, we present the connection between the M-eigenvalues of a fourth-order partially symmetric rectangular tensor and the Z-eigenvalues of a new fourth-order weakly symmetric square tensor by using the symmetric embedding technique. Based on this, the M-eigenvalue problem can be converted to be the Z-eigenvalue problem. Then we compute the M-eigenpairs by the spectral projected gradient（SPG） method that is for computing the Z-eigenpairs. Some numerical results are reported at the end of this paper.
展开▼
