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The transpose-free quasi-minimal residual algorithm (TFQMR) combined with the modified Multilevel fast multipole algorithm (MLFMA) is proposed for solving the scattering problem of the arbitrary perfect electric conductors (PECs) in a lossy half space. The half MLFMA is used to speed up the matrix-vector product operations, and the TFQMR method is employed to solve the electric field integral equation (EFIE) in a lossy half space. The method can efficiently reduce both the iteration number and the overall simulation time than the Generalized Minimal Residual (GMRES) with the modified MLFMA. Numerical results demonstrate the accuracy and efficiency of this algorithm in electromagnetic scattering in a lossy half space.