%0 Journal Article %T A structure-preserving iteration method of model updating based on matrix approximation theory %A Xie %A Dongxiu %J Computational & Applied Mathematics %D 2010 %I Scientific Electronic Library Online %R 10.1590/S1807-03022010000200005 %X 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. %K structure-preserving algorithm %K generalized centrosymmetric matrix %K model updating %K perturbation analysis. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022010000200005&lng=en&nrm=iso&tlng=en