A Numerical Method for Quadratic Eigenvalue Problems of Gyroscopic Systems Jiang Qian

We consider the quadratic eigenvalues problem (QEP) of gyroscopic systems (λM + λG + K)x = 0, with M = M> being positive definite, G = −G>, and K = K> being negative semidefinite. In [1], it is shown that all eigenvalues of the QEP can be found by finding the maximal solution of a nonlinear matrix equation Z+A>Z−1A = Q under the assumption that the QEP has… (More)