Fix missing imports in CUDA extension (#742)

* Fix missing imports in CUDA extension

Add missing imports for LU, CuVector, CuMatrix, and LinearVerbosity
to fix compilation errors in LinearSolveCUDAExt.

Fixes the issue reported at:
https://discourse.julialang.org/t/linearsolvecudaext-fails-to-compile/131693/2

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Co-Authored-By: Claude <noreply@anthropic.com>

* Add sources section to LinearSolveAutotune Project.toml

Add [sources] section with paths to LinearSolveAutotune and LinearSolve packages
for proper local development setup.

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Co-Authored-By: Claude <noreply@anthropic.com>

* Move sources section to main Project.toml following OrdinaryDiffEq pattern

- Remove sources section from lib/LinearSolveAutotune/Project.toml
- Add sources section to main LinearSolve.jl Project.toml
- This follows the same pattern used in OrdinaryDiffEq.jl where sources
  are defined in the main package Project.toml, not in individual lib packages

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

* Fix sources section: LinearSolveAutotune should source LinearSolve

- Remove incorrectly added sources from main Project.toml
- Add sources section to LinearSolveAutotune/Project.toml pointing to LinearSolve
- This allows LinearSolveAutotune to use the local LinearSolve package during development

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

* Fix CUDA extension issues

- Remove stub init_cacheval for CudaOffloadLUFactorization from base package
  to avoid method overwriting error during precompilation
- Move CUDA from deps to weakdeps since it's only needed for the extension

These changes fix:
1. Method overwriting error during module precompilation
2. Aqua.jl stale deps test failure for CUDA

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

* Update src/factorization.jl

---------

Co-authored-by: Claude <noreply@anthropic.com>
Co-authored-by: Christopher Rackauckas <accounts@chrisrackauckas.com>

Author: 3 people

Project.toml

@@ -122,8 +122,8 @@ RecursiveFactorization = "0.2.23"
 Reexport = "1.2.2"
 SafeTestsets = "0.1"
 SciMLBase = "2.70"
-SciMLOperators = "1"
 SciMLLogging = "1"
+SciMLOperators = "1"
 Setfield = "1.1.1"
 SparseArrays = "1.10"
 Sparspak = "0.3.9"

ext/LinearSolveCUDAExt.jl

@@ -1,13 +1,16 @@
 module LinearSolveCUDAExt
 
 using CUDA
+using CUDA: CuVector, CuMatrix
 using LinearSolve: LinearSolve, is_cusparse, defaultalg, cudss_loaded, DefaultLinearSolver,
                    DefaultAlgorithmChoice, ALREADY_WARNED_CUDSS, LinearCache,
                    needs_concrete_A,
                    error_no_cudss_lu, init_cacheval, OperatorAssumptions,
                    CudaOffloadFactorization, CudaOffloadLUFactorization, CudaOffloadQRFactorization,
-                   SparspakFactorization, KLUFactorization, UMFPACKFactorization
+                   SparspakFactorization, KLUFactorization, UMFPACKFactorization,
+                   LinearVerbosity
 using LinearSolve.LinearAlgebra, LinearSolve.SciMLBase, LinearSolve.ArrayInterface
+using LinearAlgebra: LU
 using SciMLBase: AbstractSciMLOperator
 
 function LinearSolve.is_cusparse(A::Union{

lib/LinearSolveAutotune/Project.toml

@@ -3,6 +3,9 @@ uuid = "67398393-80e8-4254-b7e4-1b9a36a3c5b6"
 authors = ["SciML"]
 version = "1.8.0"
 
+[sources]
+LinearSolve = {path = "../.."}
+
 [deps]
 Base64 = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"