I have both PPC and Intel installations of Octave. They both give the wrong
answer to this short script. 

num = [1 0 1]; 
den = [1 0 18 0 81]; 
[a,p,k,e] = residue(num,den) 

I did the math ... 

(x^2+1)/(x^4+18*x^2+81) = (2/9)/(x-3i) + (2/9)/(x+3i) + (1/54i)/(x-3i)^2 -
(1/54i)/(x+3i)^2 

Thus, 

a = [1/54i 2/9 -1/54i 2/9] 
p = [3i 3i -3i -3i] 
k = [] 
e = [2 1 2 1] 

However, my Intel version gives 

a = 

  -3.0108e+06 - 1.9734e+06i 
  -3.0108e+06 + 1.9734e+06i 
  3.0108e+06 + 1.9734e+06i 
  3.0108e+06 - 1.9734e+06i 

p = 

  -0.0000 + 3.0000i 
  -0.0000 - 3.0000i 
   0.0000 + 3.0000i 
   0.0000 - 3.0000i 

k = [](0x0) 
e = 

   1 
   1 
   1 
   1 

and my PPC version gives 

a = 

  8.4492e+06 - 3.9658e+06i 
  8.4492e+06 + 3.9658e+06i 
  -8.4492e+06 + 3.9658e+06i 
  -8.4492e+06 - 3.9658e+06i 

p = 

   0.0000 + 3.0000i 
   0.0000 - 3.0000i 
  -0.0000 + 3.0000i 
  -0.0000 - 3.0000i 

k = [](0x0) 
e = 

   1 
   1 
   1 
   1 

For reference, Matlab gives 

a = 

        0 - 0.0926i 
   0.2222 - 0.0000i 
        0 + 0.0926i 
   0.2222 + 0.0000i 


p = 

   0.0000 + 3.0000i 
   0.0000 + 3.0000i 
   0.0000 - 3.0000i 
   0.0000 - 3.0000i 

k = 

     [] 

A non-Fink installation for 2.9.14 produces the correct answer as well, see
the link below. 

http://www.nabble.com/bug-in-residue.m-tf4475396.html 

Can any confirm they get the same result? 

p.s. I tried posting to the users list, but forgot to subscribe before doing
that. I'll try to delete that post from Nabble momentarily.
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