@Article{Kornerup:2009:CCR,
  author =       "Peter Kornerup and Christoph Lauter and Vincent
		  Lef\`{e}vre and Nicolas Louvet and Jean-Michel Muller",
  title =        "Computing Correctly Rounded Integer Powers in Floating-Point
                  Arithmetic",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       "37",
  number =       "1",
  accepted =     "26 May 2009",
  upcoming =     "true", 
  abstract =     "
                 We introduce several algorithms for accurately evaluating
                 powers to a positive integer in floating-point arithmetic,
                 assuming a fused multiply-add (fma) instruction is
                 available. For bounded, yet very large values of the
                 exponent, we aim at obtaining correctly-rounded results in
                 round-to-nearest mode, that is, our algorithms return the
                 floating-point number that is nearest the exact value.",
}