[SciPy-Dev] A proposal on adding new TFQMR algorithm

[Ralf Gommers]

Hi Gang,


On Wed, Jun 16, 2021 at 4:14 AM 赵刚 <zhaog6 at lsec.cc.ac.cn> wrote:

> Dear all,
>
> I have submitted an python implementation of the sparse linear iterative
> algorithm "Transpose-Free QMR" (https://github.com/scipy/scipy/pull/14160).
> This algorithm (cited by 904) is very effective to solve non-Hermitian
> linear systems because it has a smoother convergence curve than the other
> algorithms like CGS, Bi-CGSTAB, and it has been widely used in those
> prominent scientific computing packages such as PETSc etc.
>
> The purpose of adding the algorithm is to enrich SciPy's sparse linear
> library, so that users can have more/better choices when using Krylov
> subspace methods in SciPy to solve linear systems. I also hope that experts
> in this field can review the implementation of the algorithm (References
> are listed in "tfqmr.py"). Hope you like it.
>

This sounds like a great addition to SciPy. It looks like Stefan has
already done a detailed review, which is very helpful. So it looks like we
are close to merging your PR.

Cheers,
Ralf
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