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Solution of dense systems of linear equations in the discrete-dipole approximation. (English) Zbl 0849.65019
This paper addresses the iterative solution of large dense systems of linear equations where the coefficient matrix is complex symmetric, arising in the discrete-dipole approximation method. The quasi-minimal residual method is found to be the best iterative method in this application. It converges in only a few more iterations than the full generalized minimal residual method. It is concluded that these algorithms make it feasible to solve dense linear systems of hundreds or thousands of unknowns.

MSC:
65F10 Iterative numerical methods for linear systems
78A45 Diffraction, scattering
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