Question: Eigenvalues precision.


Does anybody know how precise the eigenvalues (or the eigenvectors) of some Matrix are (when I use Eigenvalues(Matrix))?

Let's assume Digits=15. Can I have any certainty that the computed eigenvalues are precise to some (15??) digits?

I don't know how Maple computes them but if I suppose several (many) arithmetic operations then the error can move "upward".

Am I wrong? Thank you for all your suggestions.


Please Wait...