patrick-kidger / patrick-kidger/diffrax

`AbstractNonlinearSolver`: allow for specifying the linear solver used on the backward pass

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refactor
Dominant language
Python
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Description

At the moment it's fixed to an LU-based solver, but it'd be nice to make this an option: in particular to make using an SVD-based solver possible, which is helpful for poorly-conditioned systems.

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start at AbstractNonlinearSolver and trace how the LU-based solver is selected during the backward pass. Define the configuration point needed to select another linear solver, then verify that an SVD-based solver can be used for poorly-conditioned systems.

Written by the indexing model from the issue text.

Assessment

Tech stack
python
Domain
backend
Issue type
Feature
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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