Some theories and a method are discussed on updating a generalized centrosymmetric model. It gives a generalized centrosymmetric modified solution with partial prescribed least square spectra constraints. The emphasis is given on exploiting structure-preserving algorithm based on matrix approximation theory. A perturbation theory for the modified solution is established. The convergence of an iterative solution is investigated. Illustrative examples are provided. Mathematical subject classification: 15A29, 15A90, 41A29, 65F15, 65L70.
structure-preserving algorithm; generalized centrosymmetric matrix; model updating; perturbation analysis
