This paper presents the ALPS algorithm, a fast frequency sweep for solving Mixed--Potential Integral Equation (MPIE). By assuming a constant frequency parameter for the Green's functions, ALPS employs Lanczos--Pade approximation with selective orthogonalization (MPVL) to obtain an approximate spectra solution. Repeating MPVL at another frequency gives a second spectra solution. ALPS determines at what frequency the difference between two spectral solutions is greatest and iteratively improves the spectral solution.
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