Application of the GCRO iterative algorithm for analysis of scattering from 3-D conducting structures

In this paper, a modified GMRESR algorithm is introduced and used for efficiently solving non-Hermitian linear systems that arise from EFIE formulation of electromagnetic scattering problems. This method utilizes the GMRES technique as the inner method, and does a global minimization of the error over both the inner search space and the outer search space. It leads to a significant reduction both in the number of iterations and solution time. Two numerical experiments examples are performed and comparison with other common iterative methods is made, which shows the GCRO algorithm is more efficient and robust.