The exciting find by Nyah got me looking for such things which may be
useful and I found several tidbits (which are probably well known to
you numerical whiz kids):

  http://en.wikipedia.org/wiki/Fast_inverse_square_root

  
http://www.drdobbs.com/cpp/increasing-compiler-speed-by-over-75/240158941#disqus_thread

  http://www.johndcook.com/blog/2010/01/19/dont-invert-that-matrix/

Best,

-Tom

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