When identifying an algorithm or theorem, which of these two sentences is preferred, Seifert's algorithm or Seifert algorithm? Does it have to do with the "prestige" of the algorithm/theorem? I mean that we conventionally say Newton-Raphson method and not Newton-Raphson's method, but it seems to me that when the method is not so known the possessives formed without an apostrophe 's appear to be preferred.
I think apostrophe+s is always preferred. I tried googling and checking various algorithms in Wikipedia, and most of them use the saxon genitive, because they simply belong to the person. Even the Newton-Raphson one is also known as Newton's method.
I can't really explain why this inconsistency exists, but checking a few names in NGrams, I'd say that "'s" is always preferred, since there's a big difference in results of the two forms.