Alternating Projection Method For Damped Sparse Model Updating Problems

Sparse model updating problems, considered in this paper, focus on updating the construct-ed second-order finite element model based on a set of incomplete data, and the coefficient ma-trices should have the same structure, such as sparsity, symmetry and positive semi-definiteness, as those of the original model. This paper aims to apply the well known alternating projection method to solve the damped sparse model updating problems, and one only needs to solve a series of matrix approximation problems. Therefore, it is fast and easy to develop versions of the algorithm that target new design problems. Compared with the existing numerical algorith-m, this algorithm can keep the sparsity of the coefficient matrices, which implies the topology structure and other physical properties of the physical system, in the process of performing mod-el updating. And the numerical experiments have demonstrated that the alternating projection method proposed in this paper is an effective tool for solving damped sparse model updating problems.