Fixed the sources section format in subpackage Project.toml files. The [sources] section should be a single section with all sources listed as key-value pairs, not separate [sources.PackageName] subsections.

Files fixed:

• lib/NonlinearSolveQuasiNewton/Project.toml
• lib/NonlinearSolveHomotopyContinuation/Project.toml
• lib/NonlinearSolveSciPy/Project.toml
• lib/SimpleNonlinearSolve/Project.toml

Also fixed the parse error in test/runtests.jl that was causing test failures. The issue was that Hwloc.num_physical_cores() or Hwloc.num_virtual_cores() could fail or return invalid values, leading to empty strings being passed to parse(Int, ...).

Added try-catch blocks with fallback values to ensure the tests can run even when Hwloc fails.

I've pushed the fixes to my fork at https://github.com/ChrisRackauckas-Claude/NonlinearSolve.jl/tree/pr-674

The two commits are:

1. Fix sources section format in subpackage Project.toml files (714ead6)
2. Fix parse error in runtests.jl when Hwloc fails (96bd19e)

Since I don't have direct push access to the PR branch, you can either:

1. Cherry-pick these commits from my fork
2. Apply the attached patch file

Here's how to cherry-pick the commits:

git remote add claude-fork https://github.com/ChrisRackauckas-Claude/NonlinearSolve.jl.git
git fetch claude-fork
git cherry-pick 714ead68b 96bd19e73
git push