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—In this paper we develop an efficient numerical method for the finite-element model updating of damped gyroscopic systems based on incomplete complex modal measured data. It is assumed that the analytical mass and stiffness matrices are correct and only the damping and gyroscopic matrices need to be updated. By solving a constrained optimization problem,… (More)

Generalized reflexive solutions of the matrix equation AXB = D and an associated optimal approximation problem a b s t r a c t

—In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB + CX T D = E, where X is unknown matrix, A, B, C, D, E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two… (More)