Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I use Arnoldi iterative algorithm in order to compute the eigenvalues of a matrix. I know that the eigenvalues are of the form [tex]\lambda(1+j/c)[/tex] and I can totally estimate them. The problem that occurs is that both the range of [tex]\lambda_0[/tex] and c is for example [100,1000]. That means that there is a significant difference in the order of real and imaginary part e.g. [tex](10^4,10^6)[/tex], so the algorithm I use defines with more accuracy the real part of the eigenvalue. To be more specific let me give an example. If I estimate an eigenvalue, using python or matlab, as [tex]\lambda=100+0.017j[/tex], the analytically computed eigenvalue is [tex]\lambda=100.1+0.012j[/tex]. This deviation in the imaginary part causes a lot of problems.

Is there any way of normalization in order to exceed this problem of accuracy?

Thanks in advance!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Accurate estimation of complex eigenvalues

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**