A novel method is proposed in this thesis for the DC analysis and the parameterized analysis. This new approach reduces the computational cost by applying the model order reduction technique to the original model. The model size of the reduced order model is much smaller, thus the computational time will be saved during the Newton-Raphson iteration. In addition, the proposed method solves the MOR problem for the nonlinear vector by applying the DEIM algorithm. Furthermore, the format of the DC solution parameterized analysis is provided. To the end, basing on the new circuit equation format, a method to compute the moment subspace is presented after applying the DEIM approximation. Pertinent numerical results are presented to verify the proposed algorithm. The simulation result also demonstrates the efficiency of the new method to solve the nonlinear equations.