BUG: polyroot() (PR#751)

I have found that the polyroot()
function in R-1.1.1(both solaris
and Win32 version) gives totally
incorrect result. Here is the offending
code:

# Polyroot bug report:
# from R-1.1.1

sort(abs(polyroot(c(1, -2,1,0,0,0,0,0,0,0,0,0,-2,5,-2,0,0,0,0,0,0,0,0,0,1,-2,1))))

[1] 0.8758259 0.9486499 0.9731015 1.5419189 1.7466214 1.7535362 1.7589484
 [8] 2.0216317 2.4421509 2.5098488 2.6615572 2.7717724 2.8444048 2.9147685
[15] 2.9302278 2.9757159 3.2037151 3.2052962 3.2498510 3.2815881 3.3250881
[22] 4.6593700 4.7048556 5.2738258 5.7369920 5.9017094
# from Splus 2000

sort(abs(polyroot(c(1, -2,1,0,0,0,0,0,0,0,0,0,-2,5,-2,0,0,0,0,0,0,0,0,0,1,-2,1))))

[1] 0.8038812 0.8038812 0.8758259 0.8758259 0.9235722
 [6] 0.9235722 0.9439788 0.9439788 0.9536692 0.9536692
[11] 0.9582403 0.9582403 0.9596028 1.0420978 1.0435796
[16] 1.0435796 1.0485816 1.0485816 1.0593458 1.0593458
[21] 1.0827524 1.0827524 1.1417794 1.1417794 1.2439649
[26] 1.2439649

From mathematical theory I know that the Splus result

is correct while the R result is wrong. I would have
checked the source if I had the time.



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