Convergence of the pseudo-inverse preconditioner (shown in black lines) for a full-sky component separation model for three different sets of mixing matrices with varying spatial structure. For comparison, grey lines show the convergence of a block diagonal preconditioner. The top panel shows a case with full-resolution mixing matrices; the middle panel shows a case with mixing matrices smoothed to 20′ and 1° FWHM for thermal dust and synchrotron emission, respectively; and the bottom panel shows a case with spatially uniform mixing matrices. Further details are given in Sect. 3.3.
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