Add a standard LU performance benchmark

[ChrisRackauckas]

Same as SciML/SciMLBenchmarks.jl#623

[ai-maintainer]

AI-Maintainer Review for PR - Add a standard LU performance benchmark

Title and Description 👍

The Title is clear and concise

The title of the pull request is clear and effectively communicates the purpose of the changes, which is to add a standard LU performance benchmark. However, the description of the pull request could be improved. It currently only references another pull request without providing any additional context or explanation. It would be beneficial to include a more detailed description that explains the motivation behind adding the benchmark and any relevant details about its implementation or usage.

Scope of Changes 👍

The changes are narrowly focused

The changes in this pull request are narrowly focused on adding a standard LU performance benchmark. There are no indications that the author is trying to resolve multiple issues simultaneously. The diff only includes the addition of a new file `lu.jl` and the code within it, which is dedicated to implementing the benchmark.

Testing ⚠️

Testing details are missing

The description of the pull request does not provide any information about how the author tested the changes. It would be beneficial to have details on the testing methodology employed, such as the specific test cases used, the environment in which the tests were conducted, and any relevant performance metrics or comparisons made. Including this information would help reviewers and future users understand the reliability and validity of the benchmark implementation.

Code Changes 👍

No new functions, classes, or methods added

Based on the provided diff, it appears that there are no newly added functions, classes, or methods in this pull request. Therefore, there are no docstrings that need to be added.

Suggested Changes

1. Please provide a more detailed description in the pull request that explains the motivation behind adding the benchmark and any relevant details about its implementation or usage.
2. Please provide information about how you tested the changes, including the specific test cases used, the environment in which the tests were conducted, and any relevant performance metrics or comparisons made.

Reviewed with AI Maintainer