Hi Peter,

I don't believe that functionality is currently available in Eigen. In
general, there is no terribly efficient algorithm for doing so, unless you
have a cheap way to compute or apply the inverse of the original matrix. I
am personally working on a fast implementation of ?stebz (spectral
bisection) for Eigen, which along with tridiagonalization will make such
functionality available and reasonably efficient. I hope to be able to
submit a merge request within the next month or so. Of course, Dhillon &
Parlett's "Holy Grail" algorithm behind DSYEVR might be better still, but I
don't have any immediate plans of implementing it.

Rasmus

On Wed, Jan 20, 2021 at 7:39 AM Peter <[email protected]> wrote:

> Dear All,
>
> is it possible to calculate the lowest eigen value including its eigen
> vector
> for a real symmetric or or complex hermitian matrix instead of calculating
> the complete spectrum, e.g. similar to DSYEVR.
>
> Couldn't find it in the documentation.
>
> All the best,
> Peter
>
>
>

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