Eigenvector has important meaning in practical problems,but the matrix dimension of practical problems is often quite large,and directly solving eigenvector is time-consuming.In this paper,POD-Kriging model is constructed to predict each order eigenvector at any time of time varying problem.For the time-varying system to solve the eigenvector,sample matrix at some time can be selected.Based on the known eigenvector of each order at each time,POD method is used to predict a group of basis vectors corresponding to each order vec-tor,and the linear combination of basis is used to predict each order eigenvector at any time.The basis coeffi-cient is obtained by Kriging method.Thus,the model can be used to predict each order eigenvector at any time.In the prediction process,the basis vector only needs to be calculated once,so the work can be simplified and the prediction accuracy is high.
维普
万方数据