Eigenvalue problems

[awvwgk]

Is it possible to use this library for standard/general eigenvalue problems?

I have an application for quantum chemistry in mind which requires the iterative solution of an general eigenvalue problem.

[yizhang-yiz]

It's not practical to simply insert autodiff variables, aka var into algorithms like lanczos. What's generally done is to implicitly calculate those derivatives using the derivatives of coefficient matrices. See https://jackd.github.io/posts/generalized-eig-jvp/. In that case, one can use AD for coefficient matrix derivatives.

[awvwgk]

Thanks for the reference, I'll have a look.