The Wikipedia page on Wilkinson's polynomial describes a second problematic polynomial<http://en.wikipedia.org/wiki/Wilkinson_polynomial#Wilkinson.27s_second_example> :
w2=: p. <2x^-1+i.20 p. w2 ┌─┬────────────────────────────────────────────────────────────────────────────────────────────┐ │1│1r2 1r4 1r8 1r16 1r32 1r64 1r128 1r256 1r512 1r1024 1r2048 1r4096 1r8192 1r16384 1r32768 ...│ └─┴────────────────────────────────────────────────────────────────────────────────────────────┘ Your faithful implementer, shamelessly showing off. On Tue, Dec 11, 2012 at 11:29 PM, Roger Hui <rogerhui.can...@gmail.com>wrote: > You may or may not know that p. employs some extraordinary measures which > produce more accurate results in some difficult cases. But those > extraordinary measures are not "cool". For example: > > w=: p. <1+i.20 NB. Wilkinson's > polynomial<http://en.wikipedia.org/wiki/Wilkinson_polynomial> > w > 2432902008176640000 _8752948036761600000 13803759753640704000 > _12870931245150988800 8037811822645051776 _3599979517947607200 > 1206647803780373360 _311333643161390640 63030812099294896 > _10142299865511450 1307535010540395 _135585182899530 11310276995381 _7561... > > p. w > ┌─┬──────────────────────────────────────────────────┐ > │1│20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1│ > └─┴──────────────────────────────────────────────────┘ > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm