Thanks for the reference. I enjoyed this quite a bit--both the writing and the content. Where would we be without Kahan?
Kahan seems to get a lot of mileage out of running programs with directed rouding. Does Julia provide a way to set floating point rounding modes? I'm curious why you feel Muller's pathological recurrence is particularly relevant here. On Sunday, February 23, 2014 8:53:28 AM UTC-8, Jiahao Chen wrote: > > Great post! > > It may interest you that William Kahan has written quite extensively > on the pitfalls of iterative algorithms on floating point numbers; his > discussion of Muller's pathological recurrence on pp. 14+ of this > paper seems particularly relevant. > > http://www.cs.berkeley.edu/~wkahan/Mindless.pdf >
