Initialize HYPRE before creating objects when using plain Julia arrays

[AJ0070]

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the SciML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

This fixes a HYPRE initialization bug in the LinearSolveHYPREExt path for plain Julia matrix/vector inputs.

Previously, SciMLBase.init could auto-construct HYPREMatrix / HYPREVector before HYPRE.Init() had been called. Since those constructors touch MPI internally, a serial solve(prob, HYPREAlgorithm(...)) call could fail with:

Attempting to use an MPI routine (internal_Comm_size) before initializing or after finalizing MPICH

This PR initializes HYPRE before the auto-conversion path runs, while preserving the existing public API and solver behavior.

fixed #777
AI Disclosure: Used GPT 5.4