Schur Decomposition Example Help

[dirtyb15]

Alright, i am banging my head.  I am trying to replicate a simple example from a paper.  (http://dspace.mit.edu/bitstream/handle/1721.1/1301/R-0859-05666488.pdf?sequence=1) Basically it is doing

a schur decomposition.  Z would be the input, and U would be the orthogonal matrix out.  I am using the Schur decomposition vi,

and it is giving me a really close answer, but the signs are not correct.  Can anyone figure out what i am doing wrong?  I tried all combinations of

the ordering enum, and still nothing was correct.

[Kallis · Accepted solution]

Hi,

The decomposition is not unique so you could get a different value. 

You could verify that the results are correct by verifying that U'ZU = Schur Form 2 is an upper triangular matrix, which is true in this case.

[dirtyb15]

Perfect, thanks so much, everything looks good.