docs: rename lp-qp-milp doc containers to numerical-optimization

[rgsl888prabhu]

Summary

Renames the grouping documentation directories and consolidated files that bundle LP + QP + MILP together to numerical-optimization, so adding a new problem type in the future no longer forces renaming these containers.

Old	New
docs/.../cuopt-c/lp-qp-milp/	docs/.../cuopt-c/numerical-optimization/
docs/.../cuopt-python/lp-qp-milp/	docs/.../cuopt-python/numerical-optimization/
lp-qp-milp-settings.rst	numerical-optimization-settings.rst
lp-qp-milp-c-api.rst	numerical-optimization-c-api.rst
lp-qp-milp-api.rst	numerical-optimization-api.rst
lp-qp-milp-examples.rst	numerical-optimization-examples.rst

All toctree entries and :doc: cross-references are updated accordingly. Renames use git mv so file history is preserved.

Scope / out of scope

• In scope: only the cross-cutting grouping containers (above).
• Left as-is (per-type pages/examples): lp-qp-features.rst, milp-features.rst, lp-qp-example.rst, milp-examples.rst, lp-examples.rst, the examples/lp/ & examples/milp/ dirs, and individual example code (simple_lp_example.c, etc.) — these genuinely demonstrate one type.
• Follow-up: skill files under skills/ still reference the old lp-qp-milp doc paths; these will be updated separately, one skill at a time, after this merges.

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📥 Commits

Reviewing files that changed from the base of the PR and between dd11941 and 4976f28.

⛔ Files ignored due to path filters (3)

• docs/cuopt/source/cuopt-c/numerical-optimization/examples/mip_sample.mps is excluded by !**/*.mps
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/sample.lp is excluded by !**/*.lp
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/sample.mps is excluded by !**/*.mps

📒 Files selected for processing (33)

• docs/cuopt/source/cuopt-c/index.rst
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/Makefile
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/lp_file_example.c
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/milp_mps_example.c
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/mps_file_example.c
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/simple_lp_example.c
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/simple_milp_example.c
• docs/cuopt/source/cuopt-c/numerical-optimization/examples/simple_qp_example.c
• docs/cuopt/source/cuopt-c/numerical-optimization/index.rst
• docs/cuopt/source/cuopt-c/numerical-optimization/lp-qp-example.rst
• docs/cuopt/source/cuopt-c/numerical-optimization/milp-examples.rst
• docs/cuopt/source/cuopt-c/numerical-optimization/numerical-optimization-c-api.rst
• docs/cuopt/source/cuopt-cli/quick-start.rst
• docs/cuopt/source/cuopt-grpc/examples.rst
• docs/cuopt/source/cuopt-grpc/quick-start.rst
• docs/cuopt/source/cuopt-python/index.rst
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/expressions_constraints_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/incumbent_solutions_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/pdlp_warmstart_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/production_planning_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/qp_matrix_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/semi_continuous_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/simple_lp_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/simple_milp_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/simple_qp_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/examples/solution_example.py
• docs/cuopt/source/cuopt-python/numerical-optimization/index.rst
• docs/cuopt/source/cuopt-python/numerical-optimization/numerical-optimization-api.rst
• docs/cuopt/source/cuopt-python/numerical-optimization/numerical-optimization-examples.rst
• docs/cuopt/source/cuopt-server/examples/lp-examples.rst
• docs/cuopt/source/cuopt-server/server-api/index.rst
• docs/cuopt/source/numerical-optimization-settings.rst
• docs/cuopt/source/transition.rst

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📝 Walkthrough

Walkthrough

Documentation references throughout the cuOpt API guides are systematically updated to use numerical-optimization naming instead of lp-qp-milp. Toctree entries and cross-references in C, Python, CLI, gRPC, and Server documentation are aligned with the new path structure.

Changes

Documentation path migration to numerical-optimization naming

Layer / File(s)	Summary
C API documentation structure and content updates docs/cuopt/source/cuopt-c/index.rst, docs/cuopt/source/cuopt-c/numerical-optimization/index.rst, docs/cuopt/source/cuopt-c/numerical-optimization/lp-qp-example.rst, docs/cuopt/source/cuopt-c/numerical-optimization/milp-examples.rst, docs/cuopt/source/cuopt-c/numerical-optimization/numerical-optimization-c-api.rst	C API index structure and example content files are updated to reference numerical-optimization instead of lp-qp-milp in toctree entries and documentation links.
Python API documentation structure updates docs/cuopt/source/cuopt-python/index.rst, docs/cuopt/source/cuopt-python/numerical-optimization/index.rst	Python API index and nested documentation index are updated to point to numerical-optimization-api.rst and numerical-optimization-examples.rst instead of the prior lp-qp-milp files.
Cross-API documentation reference updates docs/cuopt/source/cuopt-cli/quick-start.rst, docs/cuopt/source/cuopt-grpc/examples.rst, docs/cuopt/source/cuopt-grpc/quick-start.rst, docs/cuopt/source/cuopt-server/examples/lp-examples.rst, docs/cuopt/source/cuopt-server/server-api/index.rst, docs/cuopt/source/numerical-optimization-settings.rst, docs/cuopt/source/transition.rst	CLI, gRPC, Server, and shared settings documentation pages are updated to point to the new numerical-optimization-settings and numerical-optimization-c-api paths in toctree entries and content cross-references.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~3 minutes

Suggested labels

non-breaking, improvement

Suggested reviewers

• tmckayus
• Iroy30

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title accurately summarizes the main change: renaming documentation containers from 'lp-qp-milp' to 'numerical-optimization' across the documentation structure.
Description check	✅ Passed	The description is directly related to the changeset, providing clear rationale (avoid future renames), detailed mapping of renamed files/directories, and scope clarification distinguishing in-scope container renames from excluded per-type pages.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch docs/rename-lp-qp-milp-to-numerical-optimization

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