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This work shows that notable acceleration of the speed of calculatingChandrasekhar's H-functions for general laws of scattering with an iterativemethod can be realized by supplying a starting pproximation produced by thefollowing procedure: (i) in the cases of azimuth-angle independent Fouriercomponents, values of the isotropic scattering H-function given by an accurateyet simple-to-apply formula, in particular, the one by Kawabata and Limaye(Astrophys. and Space Sci. Vol. 332, 365-371, 2011 DOI10.1007/s10509-010-0512-x; see also Astrophys. and Space Sci. Vol. 348, 601,2013 DOI 10.1007/1009-013-1589-9, for erratum), and (ii) for azimuth-angledependent Fourier components, an already obtained solution of the next lowerorder term. The paper has been published in Astrophys. and Space Sci. Vol. 358,32-38 (2015) DOI 10.1007/s10509-015-2434-0, and the final publication isavailable at link.springer.com.

A Fast Iterative Method for Chandrasekhar's H-functions for General Laws of Scattering