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Re: [Help-gsl] hi :-) \o/ I've some problem with eigensystem

From: tuc
Subject: Re: [Help-gsl] hi :-) \o/ I've some problem with eigensystem
Date: Thu, 22 Apr 2010 10:20:39 +0200
User-agent: Mozilla/5.0 (X11; U; Linux x86_64; en-US; rv: Gecko/20100330 Shredder/3.0.4

So the point of question is this: the
results that i get have the right values but the signs wrong.

let A be a square matrix. then a eigenvector v to the eigenvalue a is defined to have the property:

therefor for any real number x (nonzero, zero is never an eigenvector) x*v is also a eigenvector of A:

and since (-1) is a real number, mathematically speaking both results are correct.

double data[] = { 0.616556, 0.615444,
                   0.615444, 0.716556};

The right results of eigen value and eigen vector:

eigenvalue= ( 0.04908339 )
             ( 1.28402771 )

eigenvectors = ( -0.735179  -0.677873 )
                ( 0.677873    -0.735179 )

The value which i took with the sample code instead are this:

eigenvalue = 0.0490843
eigenvector =
eigenvalue = 1.28403
eigenvector =

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