Re: [eigen] Inversion of complex |

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*To*: <eigen@xxxxxxxxxxxxxxxxxxx>*Subject*: Re: [eigen] Inversion of complex*From*: Claas H. Köhler <claas.koehler@xxxxxx>*Date*: Fri, 28 Sep 2012 19:42:33 +0200

Regards Claas

To: <eigen@xxxxxxxxxxxxxxxxxxx> Sent: Friday, September 28, 2012 7:09 PM Subject: Re: [eigen] Inversion of complex

Which class of matrices are your working with? ( What does your code do when Z is not diagonalizable? ) On 09/28/2012 09:34 AM, Claas H. Koehler wrote:Hi everybody!I want to port some of my code from LAPACK to eigen. The original codeperforms an eigenvaluedecomposition of a matrix Z= T D T^{-1} into the diagonal matrix D andthe transformation matrix Tconsisting of the eigenvectors of Z.Since both T and its inverse T^{-1} are required, T^{-1} is calculated byLU decomposition followedby an inversion. As far as I can see, there exists a classComplexEigenSolver for complex matricesfor the first part of the problem.For the LU-decomosition and inversion I would like to use FullPivLU. Hasanybody of you madeexperiences with this method for complex matrices and knows how itperforms compared to the LAPACKroutines ZGETRF and ZGETRI? Kind regards Claas

**References**:**[eigen] Patch to AlignedBox***From:*Wood, Tobias

**[eigen] Inversion of complex***From:*Claas H. Koehler

**Re: [eigen] Inversion of complex***From:*Norman Goldstein

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